On a preconditioner for time domain boundary element methods

Heiko Gimperlein; David Stark

doi:10.1016/j.enganabound.2018.08.014

On a preconditioner for time domain boundary element methods

Heiko Gimperlein, David Stark

Research output: Contribution to journal › Article › peer-review

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Abstract

We propose a time stepping scheme for the space-time systems obtained from Galerkin time-domain boundary element methods for the wave equation. Based on extrapolation, the method proves stable, becomes exact for increasing degrees of freedom and can be used either as a preconditioner, or as an efficient standalone solver for scattering problems with smooth solutions. It also significantly reduces the number of GMRES iterations for screen problems, with less regularity, and we explore its limitations for enriched methods based on non-polynomial approximation spaces.

Original language	English
Pages (from-to)	109-114
Number of pages	16
Journal	Engineering Analysis with Boundary Elements
Volume	96
Early online date	8 Sept 2018
DOIs	https://doi.org/10.1016/j.enganabound.2018.08.014
Publication status	Published - Nov 2018

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title = "On a preconditioner for time domain boundary element methods",

abstract = "We propose a time stepping scheme for the space-time systems obtained from Galerkin time-domain boundary element methods for the wave equation. Based on extrapolation, the method proves stable, becomes exact for increasing degrees of freedom and can be used either as a preconditioner, or as an efficient standalone solver for scattering problems with smooth solutions. It also significantly reduces the number of GMRES iterations for screen problems, with less regularity, and we explore its limitations for enriched methods based on non-polynomial approximation spaces.",

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AU - Stark, David

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AB - We propose a time stepping scheme for the space-time systems obtained from Galerkin time-domain boundary element methods for the wave equation. Based on extrapolation, the method proves stable, becomes exact for increasing degrees of freedom and can be used either as a preconditioner, or as an efficient standalone solver for scattering problems with smooth solutions. It also significantly reduces the number of GMRES iterations for screen problems, with less regularity, and we explore its limitations for enriched methods based on non-polynomial approximation spaces.

U2 - 10.1016/j.enganabound.2018.08.014

DO - 10.1016/j.enganabound.2018.08.014

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SP - 109

EP - 114

JO - Engineering Analysis with Boundary Elements

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On a preconditioner for time domain boundary element methods

Abstract

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