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dc.contributor.authorKarátson J.
dc.contributor.authorKorotov S.
dc.date.accessioned2016-06-13T13:11:51Z
dc.date.available2016-06-13T13:11:51Z
dc.date.issued2015-12-31
dc.identifier.issn0898-1221
dc.identifier.urihttp://hdl.handle.net/20.500.11824/94
dc.description.abstractThe discrete maximum principle (DMP) is an important measure of the qualitative reliability of the applied numerical scheme for elliptic problems. This paper starts with formulating simple sufficient conditions for the matrix case and for nonlinear forms in Banach spaces. Then a DMP is derived for finite element solutions for certain nonlinear partial differential equations: we address nonlinear elliptic problems with mixed boundary conditions and interface conditions, allowing possibly degenerate nonlinearities and thus extending our previous results.
dc.formatapplication/pdf
dc.languageeng
dc.publisherComputers and Mathematics with Applications
dc.relationES/6PN/MTM2011-24766
dc.relationES/1PE/SEV-2013-0323
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectEngineering controlled terms: Banach spaces
dc.subjectBoundary conditions
dc.subjectComputational mechanics
dc.subjectDifferential equations
dc.subjectFinite element method
dc.subjectMaximum principle
dc.subjectPartial differential equations
dc.subjectDiscrete maximum principles
dc.subjectElliptic problem
dc.subjectFinite element problems
dc.subjectFinite element solution
dc.subjectInterface conditions
dc.subjectMixed boundary condition
dc.subjectNonlinear elliptic problems
dc.subjectNonlinear partial differential equations
dc.subjectEngineering main heading: Nonlinear equations
dc.titleSome discrete maximum principles arising for nonlinear elliptic finite element problems
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.identifier.doi10.1016/j.camwa.2015.06.036
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S089812211500334X


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