Efficient solution of time-domain boundary integral equations arising in sound-hard scattering
The result's identifiers
Result code in 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>
Alternative codes found
RIV/61989100:27740/16:86094686
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Efficient solution of time-domain boundary integral equations arising in sound-hard scattering
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN
0029-5981
e-ISSN
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Volume of the periodical
107
Issue of the periodical within the volume
5
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
430-449
UT code for WoS article
000380021000005
EID of the result in the Scopus database
2-s2.0-84954285490