A sweeping preconditioner for Yee's finite difference approximation of time-harmonic Maxwell's equations

DOI10.1007/s11464-012-0191-8zbMath1253.78049OpenAlexW2065314708MaRDI QIDQ693194

Lexing Ying, Paul Tsuji

Publication date: 7 December 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0191-8

zbMATH Keywords

finite difference methodselectromagnetic scatteringmultifrontal methodperfectly matched layers\(LDL^T\) factorizationsmatrix preconditionerswave propagation in inhomogeneous and anisotropic mediaYee grid

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08) Maxwell equations (35Q61) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

Related Items

Schwarz methods by domain truncation ⋮ Nested Domain Decomposition with Polarized Traces for the 2D Helmholtz Equation ⋮ The influence of domain truncation on the performance of optimized Schwarz methods ⋮ Recursive Sweeping Preconditioner for the Three-Dimensional Helmholtz Equation ⋮ The method of polarized traces for the 2D Helmholtz equation ⋮ Additive Sweeping Preconditioner for the Helmholtz Equation ⋮ Sparsifying preconditioner for the time-harmonic Maxwell's equations

Uses Software

• FDFD

Cites Work

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• Fast algorithm for extracting the diagonal of the inverse matrix with application to the electronic structure analysis of metallic systems
• A stable FDTD algorithm for non-diagonal, anisotropic dielectrics
• Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
• Sweeping preconditioner for the Helmholtz equation: Hierarchical matrix representation
• Absorbing Boundary Conditions for the Numerical Simulation of Waves
• FDFD: A 3D finite-difference frequency-domain code for electromagnetic induction tomography

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