Efficient solution of time-domain boundary integral equations arising in sound-hard scattering

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F16%3A86094686" target="_blank" >RIV/61989100:27240/16:86094686 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61989100:27740/16:86094686

Výsledek na webu

<a href="http://onlinelibrary.wiley.com/doi/10.1002/nme.5187/full" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/nme.5187/full</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nme.5187" target="_blank" >10.1002/nme.5187</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Efficient solution of time-domain boundary integral equations arising in sound-hard scattering

Popis výsledku v původním jazyce

We consider the efficient numerical solution of the three-dimensional wave equation with Neumann boundary conditions via time-domain boundary integral equations. A space-time Galerkin method with Coo-smooth, compactly supported basis functions in time and piecewise polynomial basis functions in space is employed. We discuss the structure of the system matrix and its efficient parallel assembly. Different preconditioning strategies for the solution of the arising systems with block Hessenberg matrices are proposed and investigated numerically. Furthermore, a C++ implementation parallelized by OpenMP and MPI in shared and distributed memory, respectively, is presented. The code is part of the boundary element library BEM4I. Results of numerical experiments including convergence and scalability tests up to a thousand cores on a cluster are provided. The presented implementation shows good parallel scalability of the system matrix assembly. Moreover, the proposed algebraic preconditioner in combination with the FGMRES solver leads to a significant reduction of the computational time.

Název v anglickém jazyce

Efficient solution of time-domain boundary integral equations arising in sound-hard scattering

Popis výsledku anglicky

We consider the efficient numerical solution of the three-dimensional wave equation with Neumann boundary conditions via time-domain boundary integral equations. A space-time Galerkin method with Coo-smooth, compactly supported basis functions in time and piecewise polynomial basis functions in space is employed. We discuss the structure of the system matrix and its efficient parallel assembly. Different preconditioning strategies for the solution of the arising systems with block Hessenberg matrices are proposed and investigated numerically. Furthermore, a C++ implementation parallelized by OpenMP and MPI in shared and distributed memory, respectively, is presented. The code is part of the boundary element library BEM4I. Results of numerical experiments including convergence and scalability tests up to a thousand cores on a cluster are provided. The presented implementation shows good parallel scalability of the system matrix assembly. Moreover, the proposed algebraic preconditioner in combination with the FGMRES solver leads to a significant reduction of the computational time.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

ISSN

0029-5981

e-ISSN

—

Svazek periodika

107

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

19

Strana od-do

430-449

Kód UT WoS článku

000380021000005

EID výsledku v databázi Scopus

2-s2.0-84954285490