Algorithmic aspects of enriched time domain boundary element methods

Heiko Gimperlein; David Stark

doi:10.1016/j.enganabound.2018.02.010

Algorithmic aspects of enriched time domain boundary element methods

Heiko Gimperlein
, David Stark

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

6 Citations (Scopus)

110 Downloads (Pure)

Abstract

We discuss the algorithmic aspects of a recently proposed time-domain partition-of-unity boundary element method for wave propagation problems a high frequency on coarse mesh grids. A main challenge is the accurate assembly of the Galerkin matrix for travelling plane-wave basis functions. We discuss the numerical solution of the space-time system and its preconditioning. Numerical results demonstrate the prospects and challenges of the approach.

Original language	English
Pages (from-to)	118-124
Number of pages	7
Journal	Engineering Analysis with Boundary Elements
Volume	100
Early online date	16 Mar 2018
DOIs	https://doi.org/10.1016/j.enganabound.2018.02.010
Publication status	Published - Mar 2019

ASJC Scopus subject areas

Analysis
General Engineering
Computational Mathematics
Applied Mathematics

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© 2018 Elsevier B.V.
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abstract = "We discuss the algorithmic aspects of a recently proposed time-domain partition-of-unity boundary element method for wave propagation problems a high frequency on coarse mesh grids. A main challenge is the accurate assembly of the Galerkin matrix for travelling plane-wave basis functions. We discuss the numerical solution of the space-time system and its preconditioning. Numerical results demonstrate the prospects and challenges of the approach.",

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AB - We discuss the algorithmic aspects of a recently proposed time-domain partition-of-unity boundary element method for wave propagation problems a high frequency on coarse mesh grids. A main challenge is the accurate assembly of the Galerkin matrix for travelling plane-wave basis functions. We discuss the numerical solution of the space-time system and its preconditioning. Numerical results demonstrate the prospects and challenges of the approach.

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U2 - 10.1016/j.enganabound.2018.02.010

DO - 10.1016/j.enganabound.2018.02.010

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JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

ER -

Algorithmic aspects of enriched time domain boundary element methods

Abstract

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