Algorithmic aspects of enriched time domain boundary element methods

Heiko Gimperlein, David Stark

Research output: Contribution to journalArticle

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.
LanguageEnglish
Pages118-124
Number of pages7
JournalEngineering Analysis with Boundary Elements
Volume100
Early online date16 Mar 2018
DOIs
Publication statusPublished - Mar 2019

Fingerprint

Boundary element method
Wave propagation

ASJC Scopus subject areas

  • Analysis
  • Engineering(all)
  • Computational Mathematics
  • Applied Mathematics

Cite this

@article{65bf13c4f7594e6fa360ea732f086192,
title = "Algorithmic aspects of enriched time domain boundary element methods",
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.",
author = "Heiko Gimperlein and David Stark",
year = "2019",
month = "3",
doi = "10.1016/j.enganabound.2018.02.010",
language = "English",
volume = "100",
pages = "118--124",
journal = "Engineering Analysis with Boundary Elements",
issn = "0955-7997",
publisher = "Elsevier Limited",

}

Algorithmic aspects of enriched time domain boundary element methods. / Gimperlein, Heiko; Stark, David.

In: Engineering Analysis with Boundary Elements, Vol. 100, 03.2019, p. 118-124.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Algorithmic aspects of enriched time domain boundary element methods

AU - Gimperlein, Heiko

AU - Stark, David

PY - 2019/3

Y1 - 2019/3

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=85043757224&partnerID=8YFLogxK

U2 - 10.1016/j.enganabound.2018.02.010

DO - 10.1016/j.enganabound.2018.02.010

M3 - Article

VL - 100

SP - 118

EP - 124

JO - Engineering Analysis with Boundary Elements

T2 - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

SN - 0955-7997

ER -