A Scalable Nonoverlapping and Nonconformal Domain Decomposition Method for Solving Time-Harmonic Maxwell Equations in $\mathbb{R}^3$

DOI10.1137/100817978zbMath1246.65058OpenAlexW1972430634MaRDI QIDQ2909264

Publication date: 30 August 2012

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100817978

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Study of accuracy of a non-conformal finite element domain decomposition method ⋮ Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl-curl Maxwell's equations ⋮ A boundary integral equation domain decomposition method for electromagnetic scattering from large and deep cavities ⋮ A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations ⋮ GetDDM: an open framework for testing optimized Schwarz methods for time-harmonic wave problems ⋮ Heterogeneous Optimized Schwarz Methods for Second Order Elliptic PDEs ⋮ A preconditioned dual-primal finite element tearing and interconnecting method for solving three-dimensional time-harmonic Maxwell's equations ⋮ Approximate local magnetic-to-electric surface operators for time-harmonic Maxwell's equations ⋮ Optimized Schwarz Methods with Overlap for the Helmholtz Equation ⋮ Optimized Schwarz Domain Decomposition Methods for Scalar and Vector Helmholtz Equations

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