Fully coupled hybrid-method FEM/high-frequency technique for the analysis of 3D scattering and radiation problems

Gomez-Revuelto, I.; Garcı́a-Castillo, L.E.; Salazar-Palma, M.; Sarkar, Tapan K.

doi:10.1002/mop.21094

Cited by 28 publications

(12 citation statements)

References 8 publications

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“…Before we proceed to the details of the DDM and inter-region computation in what follows, we note that the solution of (7) can be obtained efficiently using a block Gauss-Seidel solver [26] via (12) where the superscript denotes the iteration number, and represents the scattered field impinging on region from region . The residual used in determining convergence of the iteration is given by (13) Although the convergence of the stationary iteration remains an open question, from all examples we have analyzed, including examples not shown in this paper due to space limitations, very rapid convergence has been observed.…”

Section: ) Discussionmentioning

confidence: 99%

A Domain Decomposition Method for Electromagnetic Radiation and Scattering Analysis of Multi-Target Problems

Zhao¹,

Rawat

Lee

2008

IEEE Trans. Antennas Propagat.

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A domain decomposition method is presented for analyzing electromagnetic problems involving multiple separable scatterers. The method first decomposes the original problem into several disjoint subregions. In each subregion, the domain decomposition method is further applied by decomposing the region into smaller, possibly repeated, subdomains. The domain decomposition method is general enough for arbitrary geometries, but is also capable of exploiting repetitions. This renders geometrically complicated and electrically large subregion problems tractable. The subregions communicate through the near-field Green's function. To overcome the vast computational costs required in exchanging information between electrically large subregions, the adaptive cross approximation algorithm is adopted to expedite the process. The method is applied to study radiation characteristics of a reflector antenna system and an antenna array in the presence of a frequency selective surface to demonstrate the utility of the present approach.Index Terms-Adaptive cross approximation (ACA) algorithm, domain decomposition method (DDM), hybrid numerical methods, multiple scattering problems.

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Section: ) Discussionmentioning

confidence: 99%

A Domain Decomposition Method for Electromagnetic Radiation and Scattering Analysis of Multi-Target Problems

Zhao¹,

Rawat

Lee

2008

IEEE Trans. Antennas Propagat.

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“…However, their direct implementation can be computationally prohibitive in terms of CPU time and memory requirements. It is worth mentioning here the hybridization of rigorous and asymptotic high frequency methods in different forms for specific types of problems (e.g., [11][12][13][14][15]). …”

Section: Introductionmentioning

confidence: 99%

RCS Computation Using a Parallel in-Core and Out-of-Core Direct Solver

García-Doñoro

Martínez-Fernández

Garcı́a-Castillo

et al. 2011

PIER

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Abstract-Application to RCS computation of a higher order solver based on the surface integral approach is presented. The solver uses a direct method to solve the corresponding algebraic system of equations. Two versions of the solver are available: in-core and out-of-core. Both are efficiently implemented as parallel codes using Message Passing Interface libraries. Several benchmark structures are analyzed showing the reliability, performance, and versatility to run in a wide variety of computer platforms, of the solver. The results shown are illustrative of what is the maximum frequency of analysis of the structures for a given type of simulation platform.

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“…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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Fully coupled hybrid-method FEM/high-frequency technique for the analysis of 3D scattering and radiation problems

Cited by 28 publications

References 8 publications

A Domain Decomposition Method for Electromagnetic Radiation and Scattering Analysis of Multi-Target Problems

A Domain Decomposition Method for Electromagnetic Radiation and Scattering Analysis of Multi-Target Problems

RCS Computation Using a Parallel in-Core and Out-of-Core Direct Solver

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

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