Nonlocal Optimized Schwarz Methods for time-harmonic electromagnetics

2021/08/25 by Xavier Claeys, Claeys, Xavier, Francis Collino +3
Engineering · Materials Science · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Magnetic Properties and Applications #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2108.11352

openalex publication_date 2021/08/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Robust treatment of cross points in Optimized Schwarz Methods
• Accelerating non-local exchange in generalized optimized Schwarz methods
• Parallel domain decomposition solvers for the time harmonic Maxwell equations
• Modal analysis of a domain decomposition method for Maxwell's equations in a waveguide
• A new variant of the Optimised Schwarz Method for arbitrary non-overlapping subdomain partitions