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dc.contributor.authorVeit, Alexander
dc.contributor.authorMerta, Michal
dc.contributor.authorZapletal, Jan
dc.contributor.authorLukáš, Dalibor
dc.date.accessioned2016-09-08T05:43:50Z
dc.date.available2016-09-08T05:43:50Z
dc.date.issued2016
dc.identifier.citationInternational Journal for Numerical Methods in Engineering. 2016, vol. 107, issue 5, p. 430-449.cs
dc.identifier.issn0029-5981
dc.identifier.issn1097-0207
dc.identifier.urihttp://hdl.handle.net/10084/112007
dc.description.abstractWe 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 C∞-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.cs
dc.language.isoencs
dc.publisherWileycs
dc.relation.ispartofseriesInternational Journal for Numerical Methods in Engineeringcs
dc.relation.urihttp://dx.doi.org/10.1002/nme.5187cs
dc.rightsCopyright © 2015 John Wiley & Sons, Ltd.cs
dc.subjectvariational methodscs
dc.subjectwave equationcs
dc.subjectboundary element methodcs
dc.subjecttime domaincs
dc.subjectretarded potential integral equationcs
dc.titleEfficient solution of time-domain boundary integral equations arising in sound-hard scatteringcs
dc.typearticlecs
dc.identifier.doi10.1002/nme.5187
dc.type.statusPeer-reviewedcs
dc.description.sourceWeb of Sciencecs
dc.description.volume107cs
dc.description.issue5cs
dc.description.lastpage449cs
dc.description.firstpage430cs
dc.identifier.wos000380021000005


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