Minimization of p-Laplacian via the Finite Element Method in MATLAB

dc.contributor.authorMatonoha, Ctirad
dc.contributor.authorMoskovka, Alexej
dc.contributor.authorValdman, Jan
dc.date.accessioned2022-12-12T11:00:33Z
dc.date.available2022-12-12T11:00:33Z
dc.date.issued2022
dc.description.abstract-translatedMinimization of energy functionals is based on a discretization by the finite element method and optimization by the trust-region method. A key tool to an efficient implementation is a local evaluation of the approximated gradients together with sparsity of the resulting Hessian matrix. Vectorization concepts are explained for the p-Laplace problem in one and two space-dimensions.en
dc.format8 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationMATONOHA, C. MOSKOVKA, A. VALDMAN, J. Minimization of p-Laplacian via the Finite Element Method in MATLAB. In Large-Scale Scientific Computing. Heidelberg: Springer, 2022. s. 533-540. ISBN: 978-3-030-97548-7 , ISSN: 0302-9743cs
dc.identifier.doi10.1007/978-3-030-97549-4_61
dc.identifier.isbn978-3-030-97548-7
dc.identifier.issn0302-9743
dc.identifier.obd43936838
dc.identifier.uri2-s2.0-85127202885
dc.identifier.urihttp://hdl.handle.net/11025/50627
dc.language.isoenen
dc.project.IDSGS-2022-006/Kvalitativní a kvantitativní studium matematických modelů V.cs
dc.publisherSpringeren
dc.relation.ispartofseriesLarge-Scale Scientific Computingen
dc.rights© Springeren
dc.rights.accessopenAccessen
dc.subject.translatedenergy functionalen
dc.subject.translatedfinite elementsen
dc.subject.translatedMATLAB code vectorizationen
dc.subject.translatedp-Laplace equationen
dc.subject.translatedtrust-region methodsen
dc.titleMinimization of p-Laplacian via the Finite Element Method in MATLABen
dc.typekonferenční příspěvekcs
dc.typeConferenceObjecten
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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