A domain decomposition method for the vector wave equation

Stupfel, B.; Mognot, M.

doi:10.1109/8.855483

Cited by 92 publications

(59 citation statements)

References 15 publications

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“…On the boundary of the sub-domain S, we use W s to test the Robin-type transmission condition and obtain (16).…”

Section: Domain Decomposition Fe-bi-mlfma Methodsmentioning

confidence: 99%

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Domain Decomposition Fe-Bi-Mlfma Method for Scattering by 3d Inhomogeneous Objects

Gao¹,

Yang²,

Sheng³

2013

PIER

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Abstract-The hybrid finite element-boundary integral-multilevel fast multipole algorithm (FE-BI-MLFMA) is a powerful method for calculating scattering by inhomogeneous objects. However, the conventional FE-BI-MLFMA often suffers from iterative convergence problems. A non-overlapping domain decomposition method (DDM) is applied to FE-BI-MLFMA to speed up the iterative convergence. Furthermore, a preconditioner based on absorbing boundary condition and symmetric successive over relaxation (ABC-SSOR) is constructed to further accelerate convergence of the DDM-FE-BI-MLFMA. Numerical experiments demonstrate the efficiency of the proposed preconditioned DDM-FE-BI-MLFMA.

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“…On the boundary of the sub-domain S, we use W s to test the Robin-type transmission condition and obtain (16).…”

Section: Domain Decomposition Fe-bi-mlfma Methodsmentioning

confidence: 99%

“…Domain Decomposition Method (DDM) has been recognized as an important measure for designing efficiently computational algorithms [12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Domain Decomposition Fe-Bi-Mlfma Method for Scattering by 3d Inhomogeneous Objects

Gao¹,

Yang²,

Sheng³

2013

PIER

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“…These features are achieved through the use of a non-standard multiplicative iterative Schwarz type of domain decomposition approach, as explained below. The main difference of FE-IIEE with respect to other approaches based on the domain decomposition paradigm [6] is that FE-IIEE only requires the evaluation of the boundary integral terms but no solution of the integro-differential system is performed. Additional advantages of the FE-IIEE decoupling approach are the reuse of codes for nonopen región problems, easy hybridization with asymptotic (high frequency) techniques, [7][8][9][10], easier parallelization, and integration with adaptive FEM approaches.…”

Section: Introductionmentioning

confidence: 99%

Parallelizing a hybrid finite element-boundary integral method for the analysis of scattering and radiation of electromagnetic waves

Díaz

Rico

Garcı́a-Castillo

et al. 2010

Finite Elements in Analysis and Design

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ARTICLE INFO ABSTRACT Keywords:Electromagnetics Finite element method Boundary integral Parallel computing MPI Sparse direct solvers This paper presents the practical experience of parallelizing a simulator of general scattering and radiation electromagnetic problems. The simulator stems from an existing sequential simulator in the frequency domain, which is based on a finite element analysis. After the analysis of a test case, two steps were carried out: first, a "hand-crafted" code parallelization of a convolution-type operation was developed within the kernel of the simulator. Second, the sequential HSL library, used in the existing simulator, was replaced by the parallel MUMPS (MUltifrontal Massively Parallel sparse direct Solver) library in order to solve the associated linear algebra problem in parallel. Such a library allows for the distribution of the factorized matrix and some of the computational load among the available processors. A test problem and three realistic (in terms of the number of unknowns) cases have been run using the parallelized versión of the code, and the results are presented and discussed focusing on the memory usage and achieved speed-up.

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“…Furthermore, the proposed approach may essentially extend the limitations of individual codes when used alone. It is noted that recently a domain decomposition method [21] has been proposed to decompose a big electromagnetic problem into small sub-domain problems and account for the interactions between sub-domains, whose concepts may be applied to reduce the errors and will be performed in the next phase of this work.…”

Section: Introductionmentioning

confidence: 99%

Hybridization of Simulation Codes Based on Numerical High and Low Frequency Techniques for the Efficient Antenna Design in the Presence of Electrically Large and Complex Structures

Chou¹,

Hsu²

2008

PIER

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Abstract-A hybridization approach to integrate simulation codes based on high and low frequency techniques is developed in this paper. This work allows the antenna design to be performed directly in the presence of the complex and large structures. Since the sizes of the complex structures can be extremely large electrically, and the antenna structure itself can be significantly complicated, such problems can not be resolved with a single technique alone. While low frequency techniques are generally applied for antenna design problems where small scale interactions are involved, high frequency techniques are adopted for the prediction of propagation effects inside the complex structures. The proposed hybridization approach provides a seamless integration of low and high frequency techniques that combines the advantages of both techniques in terms of accuracy and efficiency. Numerical example is presented to demonstrate the utilization of the proposed approach.

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A domain decomposition method for the vector wave equation

Cited by 92 publications

References 15 publications

Domain Decomposition Fe-Bi-Mlfma Method for Scattering by 3d Inhomogeneous Objects

Domain Decomposition Fe-Bi-Mlfma Method for Scattering by 3d Inhomogeneous Objects

Parallelizing a hybrid finite element-boundary integral method for the analysis of scattering and radiation of electromagnetic waves

Hybridization of Simulation Codes Based on Numerical High and Low Frequency Techniques for the Efficient Antenna Design in the Presence of Electrically Large and Complex Structures

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