Complex frequency shifted-perfectly matched layer for the finite-element time-domain method

Movahhedi, Masoud; Abdipour, Abdolali

doi:10.1016/j.aeue.2007.10.001

Cited by 5 publications

(2 citation statements)

References 11 publications

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“…To simulate unbounded/open boundary problems, it is mandatory to truncate the problem space properly by using absorbing boundary conditions. Here, the CFS‐PML using anisotropic material [31–33] are implemented in this domain decomposition TDFEM method.…”

Section: Discontinuous Galerkin Time‐domain Finite‐element Methodsmentioning

confidence: 99%

Discontinuous Galerkin implementation of time‐domain finite‐element method using Crank–Nicolson scheme and complex frequency‐shifted perfectly matched layers for efficient analysis of dielectric loaded waveguide structures

Wang

2011

Micro & Optical Tech Letters

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This article presents the development of discontinuous Galerkin time-domain finite-element method (DG-TDFEM) for modeling wideband electromagnetic response of dielectric loaded waveguide structures. The method can be considered as a kind of domain decomposition method. The hierarchical vector basis functions are used to expand the electric and magnetic fields in order to maintain high order accuracy and Crank-Nicolson difference scheme is utilized for the time-partial equation for each subdomain. Both the electric and magnetic fields are computed in each subdomain, and only the fields on the interfaces of adjacent subdomains are directly related to each other. Thus, there is no need to solve a global matrix equation related to all boundary values. The complex frequency-shifted perfectly matched layers are used for the truncation of unbounded solution region. Several three-dimensional cavity and waveguide structures with dielectric loading are simulated to demonstrate the accuracy and efficiency of the proposed method. Compared to the original single-domain problem, the size of each subdomain problem is reduced to result in a dramatic reduction of factorization time, as well as the overall computational time and peak memory usage.

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Section: Discontinuous Galerkin Time‐domain Finite‐element Methodsmentioning

confidence: 99%

Discontinuous Galerkin implementation of time‐domain finite‐element method using Crank–Nicolson scheme and complex frequency‐shifted perfectly matched layers for efficient analysis of dielectric loaded waveguide structures

Wang

2011

Micro & Optical Tech Letters

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“…However, when dealing with scattering problems with FEM, the absorbing boundary conditions (ABC) [5,6] or fictitious absorbers such as perfectly matched layers (PML) [7][8][9] should be adopted to truncate the computational area. In order to absorb the electromagnetic field efficiently, the absorbing boundary or the fictitious absorber should be placed far away from the scatterer, which will undoubtedly increase the discretization domain significantly.…”

Section: Introductionmentioning

confidence: 99%

The Combination of Bcgstab With Multifrontal Algorithm to Solve Febi-Mlfma Linear Systems Arising From Inhomogeneous Electromagnetic Scattering Problems

Xue¹,

Cui²,

Lu³

2009

PIER

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Abstract-The hybrid finite-element/boundary-integral method (FEBI) combined with the multilevel fast multipole algorithm (MLFMA) has been applied to model the three-dimensional scattering problems of inhomogeneous media. The stabilized Bi-conjugate gradient (BCGATAB) iterative solver based on the inner-looking algorithm is proposed to solve the final FEBI linear system, and the multifrontal algorithm combined with the approximate minimal degree permutation (AMD) is used for the LU decomposition of the FEM matrix. The accuracy and efficiency of the combined algorithm has been validated in the final of the paper. Numerical results show that the proposed method can greatly improve the efficiency of FEBI for scattering problems of inhomogeneous media.

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Numerical modeling of highly sensitive resonant detection of THz radiation using a multichannel dispersive plasmonic HEMT

2021

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Complex frequency shifted-perfectly matched layer for the finite-element time-domain method

Cited by 5 publications

References 11 publications

Discontinuous Galerkin implementation of time‐domain finite‐element method using Crank–Nicolson scheme and complex frequency‐shifted perfectly matched layers for efficient analysis of dielectric loaded waveguide structures

Discontinuous Galerkin implementation of time‐domain finite‐element method using Crank–Nicolson scheme and complex frequency‐shifted perfectly matched layers for efficient analysis of dielectric loaded waveguide structures

The Combination of Bcgstab With Multifrontal Algorithm to Solve Febi-Mlfma Linear Systems Arising From Inhomogeneous Electromagnetic Scattering Problems

Numerical modeling of highly sensitive resonant detection of THz radiation using a multichannel dispersive plasmonic HEMT

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