Finite integration technique. 1: Integration by Parts is shared under a CC BY-NC-SA 4.
- Finite integration technique The resulting algebraic set of equations, the Maxwell-Grid-Equations The Finite Integration Technique (FIT) CST STUDIO SUITE is a general-purpose electromagnetic simulator based on the Finite Integration Technique (FIT), first proposed by Weiland in In this paper we present in a unified way the application of the finite integration technique (FIT) for the time-domain modeling of ultrasonic waves and coupled ultrasonic-electromagnetic The paper presents a historical review and the current state-of-the-art of the Finite Integration Technique (FIT), method which has been successfully used for almost 30 years for the solution of electromagnetic field problems. harvard. The 2D-EFIT simulation results for complex geometries such as rail axles, rail tracks, rail wheels, and steel bars are presented. The formulation is then applied to a test case representing an ac resistance welding system. In order to test The aim of this contribution is the first numerical investigation on the electromagnetic (EM), thermal, and mechanical coupled fields of a newly developed single-stage fast linear transformer driver (FLTD) with 24-separate columns in the China Z-pinch driver CZ34. CST Studio Suite® gives customers access to multiple electromagnetic (EM) simulation solvers. 15 Because it involves integrals rather than differentials, The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. The quadratic electrothermal coupling term is non-standard and requires the introduction of a trilinear form. The FEBI solver begins by partitioning the original problem domain Ω into two non-overlapping sub-domains Ω 1 and Ω 2, as shown in Figure 1. EFIT uses a velocity-stress formalism on a In this paper, 3D simulations of ultrasonic periodontal probe measurements are described, using a parallel finite integration technique which is adaptable enough to create realistic anatomical geometries. The basic idea behind the construction of finite volume schemes is to exploit the divergence form of the equation (cf. Ultrasonic NDT Simulator with engine core based on the Elastodynamic Finite Integration Technique (EFIT) (P/SV: 2th spatial-time order) for Elastic/Viscoelastic media to model the wave propagation in 2D for viscoelastic and elastic materials [1]. The influence of mask absorber patterns, on domain finite integration technique [25,26] ba sed on Yee’s grids. Generalized finite integration method with space–time decomposition technique for solving high dimensional option pricing models Eng Anal Bound Elem , 146 ( 2023 ) , pp. 848: 2001: First operation of a free-electron laser generating GW power radiation at 32 nm wavelength. 1 Nodal-integration-based finite element method. Two-dimensional wave propagation simulations show that this method generates optimal subgrid connections that reduce The proper generalized decomposition is applied to a static electrothermal model subject to uncertainties. Support for hardware acceleration and MPI cluster Development of parallel codes that are both scalable and portable for different processor architectures is a challenging task. The key idea was to use in the discretization the integral, rather Advances in Finite Integration Technique 47 1. Generally we found very good agreement between the different The Finite Integration Technique (FIT) is a predictable detailing for the discrete representation of Maxwell’s equations on spatial frameworks. A A finite integration method is proposed in this paper to deal with partial differential equations in which the finite integration matrices of the first order are constructed by using both standard integral algorithm and radial basis functions interpolation respectively. It is shown how the approximate integrals describing coefficients of the FEM need to be derived for a mesh with parallelepiped Download scientific diagram | Finite Integration Technique. In this paper, we consider the numerical computation of scattering resonances of the fluid-solid The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. J-integral & domain integral technique Under the quasi-static analysis with crack lying on the defined by (Shih . The Time Domain Solver can perform broadband simulations in a single run. This numerical method provides a universal spatial discretization scheme The paper presents a historical review and the current state-of-the-art of the Finite Integration Technique (FIT), method which has been successfully used for almost 30 years for the solution of electromagnetic field problems. Learn about the Finite Integration Technique (FIT), a consistent discretization scheme for Maxwell's equations in their integral form. The frequency-dependent matrix equation describing the FIT region is reduced by In this work, the Bathe implicit time integration technique is combined with the edge-based FEM (ES-FEM) to solve the transient wave propagation problems. In previous works, the FIT discretization of the basic equations of linear Initially, the finite-integration technique or the finite-element method with higher order curvilinear elements is used, and further, the (B-)Lan Cite Request full-text We present calculations of acoustic scattering from an aluminum cylinder near a rough interface computed using the elastodynamic finite integration technique (EFIT): a time-domain numerical method useful for pulse propagation in inhomogeneous fluid-elastic environments. In the newly proposed ‘adaptively shifted integration technique’, the numerical integration Definite Integral Calculator Added Aug 1, 2010 by evanwegley in Mathematics This widget calculates the definite integral of a single-variable function given certain limits of integration. In addition, the basic algebraic properties of this discrete electromagnetic field theory allow to adshelp[at]cfa. In The basic equations of EFIT, the Elastodynamic Finite Integration Technique, are formulated for anisotropic inhomogeneous media in 3D. The FIT is a time-domain numerical method based on the integral form of Maxwell s equations. Thomas Weiland (born October 24, 1951) is a German electrical engineer, physicist and entrepreneur. This GFIM allows the distribution of nodal points to be released from uniform requirement to non Generalized finite integration method with space–time decomposition technique for solving high dimensional option pricing models Eng Anal Bound Elem , 146 ( 2023 ) , pp. With this methodology, it is possible to simulate the propagation of the ultrasound in a medium with a relatively low computational cost. The method transforms nonlinear partial differential equation models to a coupled nonlinear system of ordinary differential equations to be solved numerically. @inproceedings{Schuhmann1996FrequencyAT, title={Frequency and Time Domain Computations of S-Parameters Using the Finite Integration Technique}, author={Rolf Schuhmann and Markus Clemens and Peter Thoma and Thomas Weiland}, year={1996}, url={https: //api The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. Two time domain solvers are available, both using a hexahedral mesh, either based on the Finite Integration Technique (FIT) or on the Transmission‐Line Matrix (TLM) method. Elastodynamic finite integration technique is a time domain numerical modeling technique where the elastodynamic equations are reduced to a discretized form and are solved over a discrete cubic grid (EFIT equations are given in the appendix of this paper with a brief explanation of the technique). It is shown how the approximate integrals describing coefficients of the FEM need to be derived for a The discretization of transient and static magnetic field problems with the Whitney Finite Element Method results in differential-algebraic systems of equations of index 1 and nonlinear systems of equations. In addition, the basic algebraic properties of this discrete electromagnetic field theory allow DOI: 10. Compared to a classical polynomial chaos expansion, the proposed approach dramatically reduces the computational burden. The resulting matrix equations of the discretized fields can be used The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. 0 license and was authored, remixed, The Finite Integration technique (FIT) is a spatial discretisation scheme to solve electromagnetic field problems numerically in time and frequency domain. Peiffer This paper deals with the AFIT Code or finite volume method for numerical simulation of sound propagation in fluids adapted to cylindrical geometries (CAFIT). In this paper, the recently developed Generalized Finite Integration Method (GFIM) is further combined with the technique of domain decomposition to solve multiple assets option pricing problems. Then, these ideas were adapted to the elastodynamics, which resulted in the so-called elastodynamic A 3D implementation of the Elastodynamic Finite Integration Technique for simulating the propagation of elastic waves. Then, these ideas were adapted to the elastodynamics, which resulted in the so-called elastodynamic Therefore, the finite integration technique (FIT) in the time domain is implemented for solving the FLTD-related problem. An existing finite integration technique based solver is used to demonstrate the For the simulation of magneto-quasi-static fields with finite integration implicit time domain (FI/sup 2/TD) and finite integration frequency domain (FIFD) methods, a new technique is introduced A uniform time-domain finite integration technique (TDFIT) is presented. The Finite Integration Technique, which can be considered as a generalization of Yee's FDTD method, has been proved to be an efficient tool for the simulation of electromagnetic phenomena. In Section 2, we start with a brief description on the Black–Scholes Model. The book collects four significant texts together with an extensive bibliography and commentaries discussing these works and their impact. It is shown how the approximate integrals describing coefficients of the FEM need to be derived for a mesh with parallelepiped A geometric multigrid algorithm is proposed for the solution of electromagnetic field problems using the mesh independent boundary resolution capabilities of the conformal finite integration The Elastodynamic Finite Integration Technique (EFIT), originally developed by Fellinger et al. One class of heat diffusion problems is considered, but the method is The finite integration technique (FIT) program is used for the simulation of light transmission and diffraction by two- and three-dimensional masks. The EFIT can be effectively applied Schuhmann, Rolf; Clemens, Markus; Thoma, Peter; Weiland, Thomas (1996) Frequency and Time Domain Computations of S-Parameters Using the Finite Integration Technique. In previous works, the FIT discretization of the basic equations of linear . Let In this paper we compare current implementations of commonly used numerical techniques-the Finite-Difference Time-Domain (FDTD) method, the Finite-Integration Technique (FIT), and Time-Domain Integral Equations (TDIE)-to solve the canonical problem of a horizontal dipole antenna radiating over lossless and lossy half-spaces. L. 706 - 714 View PDF View article View in Scopus Google Scholar The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. It is shown that the frequency responses of the stiffened thin plate using the two different techniques agree well with each other. In electromagnetics, Weiland [1977] introduced a different approach, which starts from the full set of Maxwell's equations in integral form. Periodontal disease is one of the most pervasive dental diseases in older adults. The main idea of the FIM is to transform PDEs into integral equations by using direct integration on both sizes of PDEs, and the resultant system is formulated by integration matrix constructed by the trapezoidal rule or the radial basis function. These texts, either out of print or never published before, are fundamental to the subject of the book. In this communication, the finite-integration technique/method-of-moments (FIT-MoM) hybrid method, introduced for the analysis of electromagnetic scattering by inhomogeneous bodies of revolution (BoRs), is augmented with the use of the so-called model order reduction (MOR) technique. (70), (79) give almost the same results. Different from the FDTD method, the TDFIT method is derived from Maxwell s equations in the integral form, which can be written as follows: ss dd t = ³³³El B s, (1) sss ddd t = + ³³³³³Hl Ds Js, (2) s FINITE INTEGRAL TECHNIQUE Ti old Vertex i midpoint (a) op Tk edge k normal component along each edge. More — the Finite-Difference Time-Domain (FDTD) method, the Finite-Integration Technique (FIT), and Time-Domain Integral Equations (TDIE) — to solve the canonical problem of a horizontal dipole antenna radiating over lossless and lossy half-spaces. There is some deviation between Discrete electromagnetism with the finite integration technique. Special emphasis is put on its The Finite Integration Technique (FIT) represents a coherent approach for the discrete representation of Maxwell's equations on spatial grids. This integral is sometimes called a one-sided finite-part integral, while (30) is called a two-sided finite-part integral. Combining with the Laplace transform technique, the finite integration The Time Domain Solver is a powerful and versatile multi-purpose transient 3D full-wave solver, with both finite integration technique (FIT) and transmission line matrix (TLM) implementations included in a single package. In the present paper the two- and three Transient Electromagnetic Field Analysis for the Single-Stage Fast Linear Transformer Driver With Two Different Configurations Using the Finite-Element Method and Finite Integration Technique Based on the framework of FIM, a Generalized Finite Integration Method (GFIM) was recently devised by Sam and Hon [44] where the approximant of the unknown function in PDE is defined as a piecewise polynomial to formulate the integration matrices. Besides the linear interpolation approach, a novel interpolation technique based on specialized spline functions for domain finite integration technique [25,26] ba sed on Yee s grids. In addition, the basic algebraic properties of this discrete electromagnetic field theory allow The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. A comparison is made with standard difference-equations techniques also The subgrid connection for the space-time finite integration technique is optimized based on the propagation condition of plane waves. The Newmark trapezoidal rule is used in the first substep and the 3-point Euler backward method is employed in the second Elastodynamic finite integration techniqueThe elastodynamic finite integration technique (EFIT) is a numerical time-domain scheme to model elastic wave propagation in isotropic and anisotropic, homogeneous and heterogeneous as well as dissipative and non-dissipative elastic media [1], [2], [3]. Up to now the Recently, the finite integration method (FIM), a tau-based meshless collocation method, was proposed by Wen [26]. FIT is versatile, easy to implement, and is able to carry out large computations. A reduced model that circumvents the curse of dimensionality is obtained. The Finite Integration Technique Since its first publication by Weiland in 1977 [21], the foundation of the Finite Integration Technique are Maxwell’s equations in their integral formulation (1). However, the 3D modeling of ultrasonic waves Elastodynamic Finite Integration Technique (EFIT) models have been used to simulate both linear and nonlinear interaction between sound, objects and boundaries. Today, this method is commonly called the Finite Historically, Weiland [1977] introduced the Finite Integration Technique (FIT) three decades ago in electrodynamics, where FIT was applied to the full set of Maxwell’s equations in integral form. In addition, the basic algebraic properties of this discrete electromagnetic field theory allow In order to efficiently solve a stochastic finite integration technique electrokinetic formulation a recently proposed generalized spectral decomposition approach is applied. The Elastodynamic Finite Integration Technique (EFIT), originally developed by Fellinger et al. This condition results in an algebraic equation determining the optimization parameters for the grid connection. The subgrid connection for the space-time finite integration technique is optimized based on the propagation condition of plane waves. The elastodynamic finite integration technique (EFIT) is a numerical approach resulting in standard staggered-grid finite difference equations for the elastodynamic equations of motion. If the ratio is less than 1, the finite element is deemed unsuitable and may produce “locking” effect. In the present paper the two- and three-dimensional EFIT code is used to calculate ultrasonic wave propagation and scattering in various concrete specimens modeling pulse-echo, impact-echo and acoustic emission testing methods. EFIT is well-established as a useful method in numerical analysis of ultrasonic wave propagation with distinct So if the table is given for integrals with [-1,1] integration limits, how does one solve for integrals with [a,b] integration limits. Development of parallel codes that are both scalable and portable for different processor architectures is a challenging task. Besides the linear interpolation approach, a novel interpolation technique based on specialized spline functions for In the present paper the elastodynamic finite integration technique (EFIT) is combined with point-source-synthesis (PSS) in order to efficiently calculate 3-D ultrasonic wave fields in the time Request PDF | On Jan 1, 2010, David C Calvo and others published A Finite Integration Technique for Sonomagnetism | Find, read and cite all the research you need on ResearchGate The finite integral transform technique is interpreted as a powerful new general-purpose numerical method. To overcome this limitation we investigate the acceleration of the Elastodynamic Finite Integration Technique (EFIT) to model 2-D wave propagation in viscoelastic media by using modern parallel computing devices (PCDs), such The elastodynamic finite integration technique (EFIT) is a numerical approach resulting in standard staggered-grid finite difference equations for the elastodynamic equations of motion. The obtained reduced This paper presents the numerical simulation of the ultrasonic wave transmittance utilizing the elastodynamic finite integration technique (EFIT). The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. The standard technique involves specially derived quadrature rules, These definitions can be generalized to define the finite-part value of integrals of the form (32) ⨎ y b f (x) (x − y) p + 1 d x for any real p ≥ 0, where f is assumed to have a Hölder continuous ⌊ p ⌋-derivative. finite integration technique but HFSS uses finite element method and FEKO also uses moments finite element method. The approximation of the method lies in the construction principle Finite Integration Technique (FIT) [1] is one helpful numerical method in solving the electromagnetic and elastodynamic wave field problems. . In this paper, we use the three-dimensional parallel acoustic finite integration technique (3DPAFIT) to simulate the ultrasound propagation in the tip and the intricate geo-metries periodontal tissues. We review some basic properties of the Finite Integration Technique (FIT), a generalized finite difference scheme for the solution of A uniform time-domain finite integration technique (TDFIT) is presented. The integration points and weights depend on the specific method used and the accuracy required from the approximation. The finite integration technique (FIT) has not yet found conventional use within the ERT community, although it has been successfully used as forward solver in other applications. Gauss-Lagrange integration (Source We apply the proper generalized decomposition (PGD) to a static electrothermal model subject to uncertainties. Considering the mutual influences of the EM, thermal, and mechanical fields during a pulsed current discharging The Finite Integration Technique (FIT) is a numerical method used in time-domain electromagnetic simulations to solve Maxwell’s equations. Peiffer; A. The resulting matrix equations of the discretized fields can be used Discrete electromagnetism with the finite integration technique. In F. The common interface between Ω 1 and Ω 2 is denoted as ∂Ω 1 in the FEM domain and ∂Ω 2 in the IE domain. Today, this method is commonly called the Finite The Finite Integration Technique, for short FIT [1] was first proposed almost 30 years ago, as a method for the simulation of electromagnetic fields and of various coupled problems. In addition, the basic algebraic properties of this discrete electromagnetic field theory allow to analytically and algebraically In this paper, a numerical method called the time-domain finite integration technique (TDFIT) is extended to tackle this problem via the introduction of time-varying iterative coefficients. If this ratio is greater than 1, the finite element is suitable for material incompressibility analysis. The main milestones in the development of the method, current state-of-the-art, as well as a glimpse in the future developments are presented. The prominence of FEM, FIT, and BEM has been The FIT, a generalized finite difference scheme for the solution of Maxwell’s equations, inherently includes an elegant matrix-vector notation, which enables the application of powerful tools for the analysis of consistency, stability, and other issues. In the past EFIT had proved very The finite integration technique (FIT) approximates val-ues of electric potential on the problem domain by discretis-ing Maxwell’s equations on grids. EM-field The efficiency of the combined adaptive finite element and domain integral technique is evaluated by analyzing several two-dimensional and axisymmetric problems. After recalling the standard formulation of the FIT, the proposed mesh adaptation procedure is described. 002 Corpus ID: 120409336; Simulation of acoustic scattering from an aluminum cylinder near a rough interface using the elastodynamic finite integration technique Approximate time-domain relations between the electric field integrated along the edge and the magnetic flux density integrated over the facet of the computational cell at the dielectric/conductor interface are derived and implemented into the finite integration technique to accurately eliminate the conducting region from the computational mesh. The objective of this work is to develop an efficient tool to model 2D elastic wave propagation on parallel computing devices using the elastodynamic finite integration technique using the industry open standard open computing language (OpenCL) for cross-platform, parallel programming of modern processors, and an open-source toolkit called [Py]OpenCL. This technique is used by the time domain solver in SIMULIA CST Studio Suite, a powerful software package for electromagnetic simulations. An existing finite integration technique based solver is used to demonstrate the Abstract: The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. We use an existing finite integration technique (FIT)-based solver to demonstrate the opportunities of integrating the PGD in existing codes. The capability of this technique for determining the elastic properties of fluorophosphate and The Finite Integration Technique (FIT) rewrites Maxwell's equations in their integral form into a discrete formulation. It is also capable of The finite integral transform technique’ is mainly used for the exact solution of linear problems. Values of electric potential are approximated at the Die Finite-Integral-Methode basiert auf der Finite Integration Theorie (FIT) und ist ein numerisches Simulationsverfahren zur näherungsfreien Lösung der elektromagnetischen Grundgleichungen nach Maxwell. used numerical techniques, namely: the Finite-Difference Time-Domain (FDTD) method; the Finite-Integration Technique (FIT); and Time-Domain Integral Equation (TDIE) methods. In order to test In this case, the derivative matrix disappears. The Finite Integration Technique (FIT) is a numerical method used in time-domain electromagnetic simulations to solve Maxwell’s equations. The remaining contributions regard the Finite Difference Time Domain (FDTD), Finite Volume Method (FVM), and Particle-in-Cell method (PIC and FVPIC). Yaman et al. Progress In Electromagnetics Research 32 (32), 65-87, 2001. The present study is concerned with the improvement of the previously proposed ‘shifted integration technique’ for the plastic collapse analysis of framed structures using the linear Timoshenko beam element or the cubic beam element based on the Bernoulli-Euler hypothesis. The results are validated by comparison with those The main idea of employing the finite integration technique is to replicate the real procedure of measuring the transformer FRA trace. The resulting algebraic set of equations, the Maxwell-GridEquations (MGE), are well-suited for numerical simulation, but they represent also the theoretical basis of a discrete electromagnetic field theory. 4. It is demonstrated that output performance such as output current of the two configurations is in good agreement with an experimental prototype for both circuit simulation and electromagnetic (EM) computations. Weiland is an efficient and universal method for solving a large scale of problems in computational electrodynamics. The influence of mask absorber patterns, on Finite Integration Technique (FIT) provides stable and consistent discretization schemes for electromagnetics. FIT allows to simulate electromagnetic field problems with complex geometries and to prove conservation and stability properties of the discrete fields. EFIT has been in use since the 1990s [19] [20]. The presented hybrid formulation is capable of handling large objects allowing in the same time a precise modeling of important geometrical details and material The finite element DtN method for the scattering resonances of acoustic obstacles and metallic grating structures with subwavelength holes is proposed [23] and [24], respectively. 05. In addition, the basic algebraic properties of this discrete electromagnetic field theory allow The Finite Integration Technique (FIT) according to T. The resulting matrix equations of the discretized The finite integration technique (FIT) program is used for the simulation of light transmission and diffraction by two- and three-dimensional masks. For each scenario, phase, amplitude, and the shape of the waveform were compared. For isotropie inhomogeneous media we discuss the discrete equations on a staggered grid resulting in a unique way to discretize material parameters, and evaluate stability conditions and consistency for isotropic homogeneous The second-highest share regards the Finite Integration Technique (FIT), followed by Boundary Element Methods (BEM), partly coupled with FEM (BEM+FEM). In Section 3, we give an introduction to the Generalized Finite Integration Method (GFIM) and the detailed resultant matrix formulation for solving the Black–Scholes equation with two underlying assets formulated by GFIM incorporated with The acoustic finite integration technique for waves of cylindrical symmetry (CAFIT) A. To overcome this limitation we investigate the acceleration of the Elastodynamic Finite Integration Technique (EFIT) to model 2-D wave propagation in viscoelastic media by using modern parallel computing devices (PCDs), such as multi-core However, with present-day computational capabilities, we can use numerical techniques such as the Elastodynamic Finite Integration Technique (EFIT) to fine-tune systems for complex applications before the fabrication process begins. Sie bildet die mathematische Grundlage von Simulationsprogrammen für elektromagnetische Probleme wie z. It is applied to a test case representing an industrial application and the obtained results are in good agreement with those calculated and electromagnetic-ultrasonic (EMUS) finite integration technique (FIT). Both Cartesian and The finite integration technique (FIT) is combined with the uniform geometrical theory of diffraction (UTD) for the solution of radiation and scattering problems in complex environments. 2010. elastodynamic finite integration technique (EFIT) code for parallelized computation on Intel Knights Landing (KNL) hardware. The SimNDT has a very friendly and easy to use GUI. (2002), Potthast and Kuhn (2003), Hauer et al. 5) by integrating it over mutually disjoint subdomains (called finite volumes, control volumes, finite boxes) and to use Gauss’ theorem to convert volume integrals into surface integrals, which are then discretized. 2. In this paper, we provide an overview of the method's capabilities regarding flexible geometric representation of objects as well as efficient broadband handling of materials, sources, and boundaries. 7 Finite Integration Technique. Discrete electromagnetism with the Finite Integration Technique. 13 (2008)). FIT can be seen as an extension of the A review of the Finite Integration Technique (FIT), a generalized finite difference scheme for Maxwell's equations, and its relation to the FDTD method. He is a professor of electrical engineering and headed the Institute of Electromagnetic Field Theory at the Department of Electrical Engineering and Information Technology of the Technical University of Darmstadt from 1989 to 2017. A simple and fast extraction of conformal information is developed according to a general and analytical function to improve the efficiency of the The input mobilities of the stiffened thin plate due to a unit point force excitation using finite integral transform technique and propagation wave technique are compared in Fig. The paper covers the basic In electromagnetics, Weiland [1977] introduced a different approach, which starts from the full set of Maxwell’s equations in integral form. The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. It involves and electromagnetic-ultrasonic (EMUS) finite integration technique (FIT). This paper presents a more flexible model of a grounding system with respect to frequency dependency of electrical parameters of soil and moisture variations using the finite integration The paper presents a historical review of the Finite Integration Technique (FIT), a method which has been successfully used for more than 25 years for the solution of electromagnetic field problems. 6 Re- cently, several linear and nonlinear models were suc- cessfully solved by a generalized integral transform technique. The presented applications are in the the Finite Integration Technique in terms of global quantities assigned to space objects – like the electric and magnetic (grid) voltage assigned to a contour, and the electric and magnetic Finite integration technique for coupled acoustic and elastic wave simulation and its application to noncontact ultrasonic testing Kazuyuki Nakahata1; 2, Junjie Chang , Masakazu Takahashi2, Katsumi Ohira 2and Yukio Ogura 1Department of Civil and Environmental Engineering, Ehime University, 3 Bunkyo, Matsuyama, Ehime, 790–8577 Japan The novel developments which are proposed in this paper cover both the basic geometrical modeling in space and time and advanced methods to solve the algebraic problems in time and frequency domain. , 1–3 represents a stable and efficient numerical code to model elastic wave propagation in linearly-elastic isotropic and anisotropic, homogeneous and heterogeneous as well as dissipative and nondissipative media. A simple and fast extraction of conformal information is developed according to a general and analytical function to improve the efficiency of the This paper deals with the elastodynamic finite integration technique for axisymmetric wave propagation in a homogeneous and heterogeneous cylindrical medium (CEFIT). FIT has some beneficial properties contrasted with the FDTD, in light of the fact that it includes integrals rather than differential. The Finite Integration technique (FIT) is a spatial discretisation scheme to solve electromagnetic field problems numerically in time and frequency domain. B. Proceedings of the 12th Annual Review of Progress in Applied Computational Electromagnetics. 1016/J. et al et al J et al 2. This paper presents a more flexible model of a grounding system with respect to frequency dependency of electrical parameters of soil and moisture variations using the finite integration We report some properties of the Finite Integration Technique (FIT), which are related to the definition of a discrete energy quantity. Learn about the finite integration technique (FIT), a consistent formulation for the discrete representation of Maxwell's equations on spatial grids. 1016/0165-2125(94)00040-C Corpus ID: 89605908; Numerical modeling of elastic wave propagation and scattering with EFIT — elastodynamic finite integration technique In this paper we compare current implementations of commonly used numerical techniques - the Finite-Difference Time-Domain (FDTD) method, the Finite-Integration Technique (FIT), and Time-Domain Integral Equations (TDIE) - to solve the canonical problem of a horizontal dipole antenna radiating over lossless and lossy half-spaces. edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A a technique of integration that allows the exchange of one integral for another using the formula \(\displaystyle ∫ u\,dv=uv−∫ v\,du\) This page titled 7. The basic idea is to replace the continuous integral with a series of finite sums. The resulting matrix equations of the discretized fields can be used for efficient numerical simulations on modern computers and The integrand is evaluated at a finite set of points called integration points and a weighted sum of these values is used to approximate the integral. Validation of the formulation is carried out by comparison with Monte Carlo simulations. Mixed formulations, Request PDF | Field-Circuit Coupling and Electromagnetic-Thermal-Mechanical Coupling Analysis of the Single-Stage Fast Linear Transformer Driver by Using Time-Domain Finite Integration Technique We present calculations of acoustic scattering from an aluminum cylinder near a rough interface computed using the elastodynamic finite integration technique (EFIT): a time-domain numerical method useful for pulse propagation in inhomogeneous fluid-elastic environments. Usually The effect of peaking capacitor on the intensity of far-field radiation is simulated using finite integration technique for a distance of 15, 20, 30, 40, and 50 m and the results are presented and As well known, the elastodynamic finite integration technique (EFIT) is a powerful, accurate and stable time domain numerical scheme to study wave propagation in elastic medium [10][11][12][13][14 The behavior of grounding systems against waves with high-frequency content such as lightning or very fast transient overvoltages is completely different from the steady state. We also illustrate the application of selected optimization In this letter, we compare the effective index method (EIM), applied to derive an analytical model of the guidance properties of plasmonic groove waveguides, to full-wave simulations based on In those situations a special integration technique has to be used as in the finite cell method [36, 37, 38] incorporating an adaptive approach to decompose the element into subelements, which are The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. After modeling the windings, it is possible to connect an imaginary sinusoidal source to the terminal of the HV winding and to sweep its frequency for calculating the transferred voltage at the other end of the A stochastic finite integration technique formulation of an electrokinetic problem is derived applying the polynomial chaos expansion. This property is important in enforcing continuity of the magnetic flux density at material boundaries. Depending on the application the simulations for contact and immersion However, with present-day computational capabilities, we can use numerical techniques such as the Elastodynamic Finite Integration Technique (EFIT) to fine-tune systems for complex applications before the fabrication process begins. Numerical Analysis We now wish to apply the basis functions to the integral form of the Maxwell's equations for TM in- cidence. And [16] computes scattering poles using boundary integrals. These types of environment are We present comparisons of simulated data using the Finite-Integration Technique, the Finite-Difference Time-Domain method, and a Time-Domain Integral Equation approach, as well as measured data. 0 license and was authored, remixed, Domain Decomposition-Based FEBI Solver. 1: Integration by Parts is shared under a CC BY-NC-SA 4. In FIT, Maxwell’s equations are discretized in both space and time. The named three methods represent the most powerful general-purpose solvers for electromagnetic simulation tasks. For practical calculations, a first step of the FI-method consists in the spatial restriction of the electromagnetic field problem, which usually fingerprint technique of Hou and Hinders [50-55] was adapted for this purpose and shows promise. 1 Maxwell Grid Equations Similar to the FDTD method, the Finite Integration Technique uses a pair of staggered computational grids, the primary grid G and the dual grid G, which however can have a more general structure as the standard 'Vee cell' of FDTD. Eqs. Cite. Nowadays, available meshing tools allow meshing of the entire geometry with triangular or tetrahedral elements [36, 37]; however, linear tetrahedral elements of type P1 cannot be used for solving elastoplastic or viscoplastic problems, because they give rise to severe locking difficulties. This success was one of the reasons behind its use in this work for simulating The Time Domain Solver is a powerful and versatile multi-purpose 3D full-wave solver, with both finite integration technique (FIT) and transmission line matrix (TLM) implementations included in a single package. Section 0. See how FIT is related to FDTD, finite We review some basic properties of the Finite Integration Technique (FIT), a generalized finite difference scheme for the solution of Maxwell’s equations. Request PDF | On Feb 10, 2009, Kevin Rudd and others published Simulations of Ultrasonographic Periodontal Probe Using the Finite Integration Technique | Find, read and cite all the research you The finite integration technique served as a useful forward solver for simulating the true measurements of the current density for reconstruction by magnetic tomography inverse algorithms (Kress et al. 1986) x1 axis, the two dimensional -integral is Schubert and Koehler [5] reported modeling dissipation and diffusivity in concrete with a 2D finite integration technique (FIT) [6]. For isotropie inhomogeneous media we discuss the discrete equations on a staggered grid resulting in a unique way to discretize material parameters, and evaluate stability conditions and consistency for isotropic homogeneous The elastodynamic finite integration technique represents a stable and efficient numerical scheme to model ultrasonic wave propagation in elastic solids. Support for hardware acceleration and MPI cluster computing Approximate time-domain relations between the electric field integrated along the edge and the magnetic flux density integrated over the facet of the computational cell at the dielectric/conductor interface are derived and implemented into the finite integration technique to accurately eliminate the conducting region from the computational mesh. This distinction is necessary because the present formulation allows degrees of freedom to the total number of constraints at the integration points. The displacements given by the finite integration method The finite integration technique (FIT) has not yet found conventional use within the ERT community, although it has been successfully used as forward solver in other applications. Time-Domain methods are particularly well-suited to modelling ultra-wideband GPR antennas as a broad range of frequencies can be modelled with a single simulation. The key The Finite Integration Technique (FIT) [1] developed by Weiland in 1977 provides a discrete reformulation of Maxwell’s equations in their integral form suitable for computers and it allows to simulate real-world electromagnetic field problems The Finite Integration Technique (FIT) rewrites Maxwell's equations in their integral form into a discrete formulation. This volume gives an up-to-date review of the subject Integration in Finite Terms. 1 Recommendation. This paper deals with the elastodynamic finite integration technique for axisymmetric wave propagation in a homogeneous and heterogeneous cylindrical medium (CEFIT). Currently, the model is capable of simulating 2 materials in various geometries. It provides a discrete reformulation of Maxwell's equations in their integral form suitable for numerical computing. As well known, the elastodynamic finite integration technique (EFIT) is a powerful, accurate and stable time domain numerical scheme to study wave propagation in elastic medium [10][11][12][13][14 This paper presents the results of a numerical computational tool "Elastodynamic Finite Integration Technique (EFIT)" for elastic wave modeling in complex geometries. Abstract: Development of parallel codes that are both scalable and portable for different processor architectures is a challenging task. Mixed formulations, The basic equations of EFIT, the Elastodynamic Finite Integration Technique, are formulated for anisotropic inhomogeneous media in 3D. from publication: High temporal resolution finite element simulations of the aorta for thoracic impedance cardiography | Impedance Request PDF | On Jan 1, 2010, David C Calvo and others published A Finite Integration Technique for Sonomagnetism | Find, read and cite all the research you need on ResearchGate We review some basic properties of the Finite Integration Technique (FIT), a generalized finite difference scheme for the solution of Maxwell's equations. 706 - 714 View PDF View article View in Scopus Google Scholar 2. Different from the FDTD method, the TDFIT method is derived from Maxwell’s equations in the integral form, We have demonstrated that the elastodynamic finite integration technique can be used to highlight several important features in the problem of object scattering near interfaces. These methods are all well-established in computational electromagnetics since their inceptions: FDTD in 1966 [32]; FIT in 1977 [31]; and TDIE methods in 1973 [12]. Because each isoparamteric element is defined in terms of the normalized domain $\xi_{1}=-1$ and $ \xi_{2}=1 $, it is easier to apply any numerical integration technique. This condition results in an algebraic equation determining Therefore, we need a numerical integration technique. [7] used a 2D finite element method that adopts the topologies of cement and aggregates to investigate the frequency of the transmitted wave in concrete. This special variant of a finite difference time domain (FDTD) scheme offers a suitable method to calculate real three-dimensional problems in a two-dimensional staggered grid. If the traction applied at the end x = 1 is considered as p (t) = H (t), and u ̃, x (s, 1) = p ̃ = 1 / s. Application of FIT to elastodynamics leads to the development of Elastodynamic Finite Integration Technique, popularly known in its abbreviated form as EFIT [2, 3]. Gaurav Varshney. The formulation is able to provide the uncertainty quantification of fields and integral quantities. To overcome this limitation we investigate the acceleration of the Elastodynamic Finite Integration Technique (EFIT) to model 2-D wave propagation in viscoelastic media by using modern parallel computing devices (PCDs), such The subgrid connection for the space-time finite integration technique is optimized based on the propagation condition of plane waves. M Clemens, T Weiland. This condition results in an algebraic equation determining The behavior of grounding systems against waves with high-frequency content such as lightning or very fast transient overvoltages is completely different from the steady state. The resulting matrix equations of the discretized fields can be used Keywords—Finite Integration Technique, FEM, 3D field simulation, microwaves, highfrequency, numerical techniques 1 A Short Historical Review The Finite Integration Technique, for short FIT [1] was first proposed almost 30 years ago, as a method for the simulation of electromagnetic fields and of various coupled problems. It is shown that FIT extends to piezoelectric problems by exploiting stress Finite integration technique numerical modeling for EMC and signal integrity problems Abstract: Because it costs to solve electromagnetic compatibility (EMC) problems The Finite Integration Technique, for short FIT [1] was first proposed almost 30 years ago, as a method for the simulation of electromagnetic fields and of various coupled problems. EFIT is a numerical approach resulting in standard staggered-grid finite difference equations for the elastodynamic equations of An extension of the framework of the Finite Integration Technique (FIT) including dynamic and adaptive mesh refinement is presented. Historically, the FIT has been introduced three decades ago in electrodynamics [1], where the FIT is applied to the full set of Maxwell’s equations in integral form. The outputs of the simulation include 3D pressure values distributed throughout the periodontal anatomy, 2D vertical cross sections of the Computer simulations based on the cylindrical acoustic finite integration technique were performed to test some of the simplifying assumptions of the analytical model, with the simulations 3D simulations of ultrasonic periodontal probe measurements are described, using a parallel finite integration technique which is adaptable enough to create realistic anatomical geometries, and only a small portion of the ultrasonic energy is reaching the junctional epithelium. EFIT is well-established as a useful method in numerical analysis of ultrasonic wave propagation with distinct RF computations with the finite integration technique (FIT) and the coupled S-parameter calculation (CSC) Problems Discretized by the Finite Integration Technique Alexander Krimm1, Thorben Casper1,2, An existing finite integration technique based solver is used to demonstrate the opportunities and difficulties in integrating the proper generalized decomposition in existing codes. The key idea was to The Finite Integration Technique (FIT) is a consistent discretization scheme for Maxwell's equations in their integral form. It is additionally similar to the finite element strategy. The computational results presented, although neglecting bottom attenuation effects, are generally consistent with experimental work [14] , [15] , [16] . MAFIA und CST MICROWAVE STUDIO®. The Bathe time integration scheme is a typical two-substep method. To overcome this limitation we investigate the acceleration of the Elastodynamic Finite Integration Technique (EFIT) to model 2-D wave propagation in viscoelastic media by using modern parallel computing devices (PCDs), such as multi-core Elastodynamic Finite Integration Technique implemented in Julia - GitHub - S-Gol/JuliaEFIT: Elastodynamic Finite Integration Technique implemented in Julia CST- uses a relative of FDTD i. Two-dimensional wave propagation simulations show that this method generates optimal subgrid connections that reduce a technique of integration that allows the exchange of one integral for another using the formula \(\displaystyle ∫ u\,dv=uv−∫ v\,du\) This page titled 7. Unlike the previously published conformal methods, the proposed TDFIT can be used to model both perfect electrical conductors and dielectric objects. CST STUDIO SUITE is a general-purpose electromagnetic simulator based on the Finite Integration Technique (FIT), first proposed by Weiland in 1976/1977 [1]. A stochastic formulation of the finite integration technique over generic polyhedral grids for 3-D eddy-current problems is derived using polynomial chaos expansion. The latter is especially well suited to EMC/EMI/E3 applications. These types of environment are important starting An extension of the framework of the Finite Integration Technique (FIT) including dynamic and adaptive mesh refinement is presented. Teixeira, editor, Geometric Methods for Computational DOI: 10. Both Cartesian and This paper is organized as follows. WAVEMOTI. We review some recent extensions of the Finite Integration Technique (FIT), which is known to be a generalization of the Finite Difference Time Domain The Finite Integration Technique (FIT) is a predictable detailing for the discrete representation of Maxwell’s equations on spatial frameworks. The finite difference method (FDM) uses regular rectangular grids with a few numbers of cells within the mesh. In 1988, Weiland was Abstract: Development of parallel codes that are both scalable and portable for different processor architectures is a challenging task. Finite integration technique for coupled acoustic and elastic wave simulation and its application to noncontact ultrasonic testing Kazuyuki Nakahata1; 2, Junjie Chang , Masakazu Takahashi2, Katsumi Ohira 2and Yukio Ogura 1Department of Civil and Environmental Engineering, Ehime University, 3 Bunkyo, Matsuyama, Ehime, 790–8577 Japan The subgrid connection for the space-time finite integration technique is optimized based on the propagation condition of plane waves. The range includes methods such as the finite element method (FEM) the finite integration technique (FIT), and the transmission line matrix method (TLM). The resulting matrix equations of the discretized fields can be used for efficient numerical simulations on modern computers. Recently, the finite integration method (FIM), a tau-based meshless collocation method, was proposed by Wen [26]. The focus is on the finite element method (FEM) and finite integration technique (FIT), but with the cell and equivalent network approaches also considered. FINITE INTEGRAL TECHNIQUE Ti old Vertex i midpoint (a) op Tk edge k normal component along each edge. The time domain solvers are less efficient for structures that are electrically much smaller than Therefore, the finite integration technique (FIT) in the time domain is implemented for solving the FLTD-related problem. Starting with the well-known identities for the operator matrices of the FIT, not only the conservation of discrete energy in time and frequency domain simulations is derived, but also some important orthogonality properties for eigenmodes in The proper generalized decomposition is applied to a static electrothermal model subject to uncertainties. The finite integration technique allows the simulation of real-world electromagnetic field problems with complex geometries. ’ All methods transform the original partial differential In this paper we compare current implementations of commonly used numerical techniques-the Finite-Difference Time-Domain (FDTD) method, the Finite-Integration Technique (FIT), and Time-Domain Integral Equations (TDIE)-to solve the canonical problem of a horizontal dipole antenna radiating over lossless and lossy half-spaces. The finite integration technique (FIT) is combined with the uniform geometrical theory of diffraction (UTD) for the solution of radiation and scattering problems in complex environments. e. The answer lies in that any integral with limits of \(\left\lbrack a,b \right\rbrack\) can be converted into an integral with limits \(\left\lbrack - 1,1 \right\rbrack\). For the simulation of magneto-quasi-static fields with finite integration implicit time domain (FI/sup 2/TD) and finite integration frequency domain (FIFD) methods, a new technique is introduced The Finite-Difference Time-Domain (FDTD) method and Finite-Integration technique (FIT) are popular numerical methods for simulating electromagnetic wave propagation. The Finite Integration Technique in Time Domain is a valuable tool for solving complex industrial electromagnetic applications. The number of collocation point N is chosen to be 100 and the number of sample in the Laplace space K is taken as 200. These simulations provide valu- The elastodynamic finite integration technique represents a stable and efficient numerical scheme to model ultrasonic wave propagation in elastic solids. bxv yphkd sbrvk ecjus gzap otcd yujhd ibwhr wqbsf ojhpmzlb
