Nonoverlapping Domain Decomposition with Second Order Transmission Condition for the Time-Harmonic Maxwell's Equations

DOI10.1137/090777220zbMath1219.65038OpenAlexW1969792609MaRDI QIDQ5200265

Jin-Fa Lee, Vineet Rawat

Publication date: 1 August 2011

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

Full work available at URL: https://doi.org/10.1137/090777220

zbMATH Keywords

finite elementsMaxwell's equationstransmission conditionsnonoverlapping domain decomposition

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)

Related Items (12)

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 ⋮ Bernstein-Bézier \(H(\mathrm{curl})\)-conforming finite elements for time-harmonic electromagnetic scattering problems ⋮ A unified theory of non-overlapping Robin-Schwarz methods: continuous and discrete, including cross points ⋮ Improved sweeping preconditioners for domain decomposition algorithms applied to time-harmonic Helmholtz and Maxwell problems ⋮ A non-overlapping Schwarz domain decomposition method with high-order finite elements for flow acoustics ⋮ DG Discretization of Optimized Schwarz Methods for Maxwell’s Equations ⋮ A Well-Conditioned Weak Coupling of Boundary Element and High-Order Finite Element Methods for Time-Harmonic Electromagnetic Scattering by Inhomogeneous Objects ⋮ Optimized Schwarz Domain Decomposition Methods for Scalar and Vector Helmholtz Equations

This page was built for publication: Nonoverlapping Domain Decomposition with Second Order Transmission Condition for the Time-Harmonic Maxwell's Equations