Nonlocal optimized schwarz methods for time-harmonic electromagnetics

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 for...

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Bibliographic Details
Published in:Advances in computational mathematics 2022-12, Vol.48 (6), Article 72
Main Authors: Claeys, Xavier, Collino, Francis, Parolin, Emile
Format: Article
Language:English
Subjects:
Algorithms
Computational mathematics
Computational Mathematics and Numerical Analysis
Computational Science and Engineering
Convergence
Domain decomposition methods
Mathematical and Computational Biology
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
Visualization
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Summary: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.
ISSN:1019-7168
1572-9044
DOI:10.1007/s10444-022-09987-7