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dc.contributor.authorAmrein, Mario-
dc.contributor.authorWihler, Thomas P.-
dc.date.accessioned2018-09-27T12:36:38Z-
dc.date.available2018-09-27T12:36:38Z-
dc.date.issued2017-
dc.identifier.issn0749-159Xde_CH
dc.identifier.issn1098-2426de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/11154-
dc.description.abstractIn this article, we investigate the application of pseudo-transient-continuation (PTC) schemes for the numerical solution of semilinear elliptic partial differential equations, with possible singular perturbations. We will outline a residual reduction analysis within the framework of general Hilbert spaces, and, subsequently, use the PTC-methodology in the context of finite element discretizations of semilinear boundary value problems. Our approach combines both a prediction-type PTC-method (for infinite dimensional problems) and an adaptive finite element discretization (based on a robust a posteriori residual analysis), thereby leading to a fully adaptive PTC -Galerkin scheme. Numerical experiments underline the robustness and reliability of the proposed approach for different examples.de_CH
dc.language.isoende_CH
dc.publisherWileyde_CH
dc.relation.ispartofNumerical Methods for Partial Differential Equationsde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectDynamical systemde_CH
dc.subjectSteady statesde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleAdaptive pseudo-transient-continuation-Galerkin methods for semilinear elliptic partial differential equationsde_CH
dc.typeBeitrag in wissenschaftlicher Zeitschriftde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Management and Lawde_CH
zhaw.organisationalunitInstitut für Risk & Insurance (IRI)de_CH
dc.identifier.doi10.1002/num.22177de_CH
zhaw.funding.euNode_CH
zhaw.issue6de_CH
zhaw.originated.zhawYesde_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume33de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
Appears in collections:Publikationen School of Management and Law

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