Sweeping preconditioners for stratified media in the presence of reflections

DOI10.1007/s42985-020-00019-xzbMath1455.65044arXiv2002.12016OpenAlexW3043914486MaRDI QIDQ2218207

Janosch Preuß, Thorsten Hohage, Christoph Lehrenfeld

Publication date: 15 January 2021

Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.12016

zbMATH Keywords

preconditioningdomain decomposition methodsHelmholtz equationDirichlet-to-Neumann operatorcomputational seismologyperfectly matched layers

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Computational methods for problems pertaining to geophysics (86-08) Preconditioners for iterative methods (65F08)

Related Items (1)

Schwarz methods by domain truncation

Uses Software

• Netgen
• NGSolve

Cites Work

• The method of polarized traces for the 2D Helmholtz equation
• Effective algorithms with circulant-block matrices
• NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
• Sweeping preconditioners for the iterative solution of quasiperiodic Helmholtz transmission problems in layered media
• Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods
• Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods

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