Nonlocal optimized schwarz methods for time-harmonic electromagnetics

Xavier Claeys; Francis Collino; Emile Parolin

doi:10.1007/s10444-022-09987-7

Nonlocal optimized schwarz methods for time-harmonic electromagnetics

Xavier Claeys, Francis Collino, Emile Parolin

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce a new domain decomposition strategy for time harmonic Maxwell’s equations that is valid in the case of automatically generated subdomain partitions with possible presence of cross-points. The convergence of the algorithm is guaranteed and we present a complete analysis of the matrix form of the method. The method involves transmission matrices responsible for imposing coupling between subdomains. We discuss the choice of such matrices, their construction and the impact of this choice on the convergence of the domain decomposition algorithm. Numerical results and algorithms are provided.

Original language	English
Article number	72
Journal	Advances in Computational Mathematics
Volume	48
Issue number	6
DOIs	https://doi.org/10.1007/s10444-022-09987-7
Publication status	Published - 1 Dec 2022

Keywords

Cross-points
Domain decomposition
Electromagnetics
Optimized Schwarz method
Wave propagation problem

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10.1007/s10444-022-09987-7

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title = "Nonlocal optimized schwarz methods for time-harmonic electromagnetics",

abstract = "We introduce a new domain decomposition strategy for time harmonic Maxwell{\textquoteright}s equations that is valid in the case of automatically generated subdomain partitions with possible presence of cross-points. The convergence of the algorithm is guaranteed and we present a complete analysis of the matrix form of the method. The method involves transmission matrices responsible for imposing coupling between subdomains. We discuss the choice of such matrices, their construction and the impact of this choice on the convergence of the domain decomposition algorithm. Numerical results and algorithms are provided.",

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AU - Claeys, Xavier

AU - Collino, Francis

AU - Parolin, Emile

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N2 - We introduce a new domain decomposition strategy for time harmonic Maxwell’s equations that is valid in the case of automatically generated subdomain partitions with possible presence of cross-points. The convergence of the algorithm is guaranteed and we present a complete analysis of the matrix form of the method. The method involves transmission matrices responsible for imposing coupling between subdomains. We discuss the choice of such matrices, their construction and the impact of this choice on the convergence of the domain decomposition algorithm. Numerical results and algorithms are provided.

AB - We introduce a new domain decomposition strategy for time harmonic Maxwell’s equations that is valid in the case of automatically generated subdomain partitions with possible presence of cross-points. The convergence of the algorithm is guaranteed and we present a complete analysis of the matrix form of the method. The method involves transmission matrices responsible for imposing coupling between subdomains. We discuss the choice of such matrices, their construction and the impact of this choice on the convergence of the domain decomposition algorithm. Numerical results and algorithms are provided.

KW - Cross-points

KW - Domain decomposition

KW - Electromagnetics

KW - Optimized Schwarz method

KW - Wave propagation problem

U2 - 10.1007/s10444-022-09987-7

DO - 10.1007/s10444-022-09987-7

M3 - Article

AN - SCOPUS:85141627565

SN - 1019-7168

VL - 48

JO - Advances in Computational Mathematics

JF - Advances in Computational Mathematics

IS - 6

M1 - 72

ER -

Nonlocal optimized schwarz methods for time-harmonic electromagnetics

Abstract

Keywords

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