Distributed solution of the Helmholtz transmission problems via relaxed local multi-trace formulation and adaptive cross approximation

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dc.contributor.authorKravčenko, Michal
dc.contributor.authorZapletal, Jan
dc.contributor.authorMerta, Michal
dc.date.accessioned2021-10-12T07:12:57Z
dc.date.available2021-10-12T07:12:57Z
dc.date.issued2021
dc.description.abstractWe present a parallel solver for the Helmholtz transmission problems based on the relaxed local multi-trace formulation and parallel adaptive cross approximation methods. We start off by describing the relaxed local multi-trace formulation and follow with a workload distribution scheme used to assemble all the underlying matrices in parallel via MPI. Finally, we provide results of numerical experiments related to strong scalability and the number of iterations of the GMRES iterative method.cs
dc.description.firstpageart. no. 113644cs
dc.description.sourceWeb of Sciencecs
dc.description.volume398cs
dc.identifier.citationJournal of Computational and Applied Mathematics. 2021, vol. 398, art. no. 113644.cs
dc.identifier.doi10.1016/j.cam.2021.113644
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.urihttp://hdl.handle.net/10084/145310
dc.identifier.wos000677995100015
dc.language.isoencs
dc.publisherElseviercs
dc.relation.ispartofseriesJournal of Computational and Applied Mathematicscs
dc.relation.urihttps://doi.org/10.1016/j.cam.2021.113644cs
dc.rights© 2021 Elsevier B.V. All rights reserved.cs
dc.subjectboundary element methodcs
dc.subjectHelmholtz transmission problemscs
dc.subjectlocal multi-trace formulationcs
dc.subjectparallelizationcs
dc.subjectadaptive cross approximationcs
dc.titleDistributed solution of the Helmholtz transmission problems via relaxed local multi-trace formulation and adaptive cross approximationcs
dc.typearticlecs
dc.type.statusPeer-reviewedcs

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