High-order FEM domain decomposition models for high-frequency wave propagation in heterogeneous media

DOI10.1016/j.camwa.2017.10.041zbMath1409.78007OpenAlexW2772836916MaRDI QIDQ1732463

C. Morgenstern, Mahadevan Ganesh

Publication date: 25 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.10.041

zbMATH Keywords

wave propagationdomain decompositionfinite elementhigh-order

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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

Related Items (8)

A non-overlapping domain decomposition method with perfectly matched layer transmission conditions for the Helmholtz equation ⋮ A coercive heterogeneous media Helmholtz model: formulation, wavenumber-explicit analysis, and preconditioned high-order FEM ⋮ An overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: formulation, analysis, algorithm, and simulation ⋮ Analysis and application of an overlapped FEM-BEM for wave propagation in unbounded and heterogeneous media ⋮ An efficient preconditioner for adaptive fast multipole accelerated boundary element methods to model time-harmonic 3D wave propagation ⋮ A non-overlapping domain decomposition method with high-order transmission conditions and cross-point treatment for Helmholtz problems ⋮ A fast high order algorithm for multiple scattering from large sound-hard three dimensional configurations ⋮ Synthesis of highly convergent 2D and 3D finite elements for short acoustic wave simulation

Cites Work

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• A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions
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• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• Finite Element Methods with B-Splines
• An efficient multigrid algorithm for heterogeneous acoustic media sign‐indefinite high‐order FEM models
• A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems
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