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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
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Amrein, M., & Wihler, T. P. (2017). Adaptive pseudo-transient-continuation-Galerkin methods for semilinear elliptic partial differential equations. Numerical Methods for Partial Differential Equations, 33(6). https://doi.org/10.1002/num.22177
Amrein, M. and Wihler, T.P. (2017) ‘Adaptive pseudo-transient-continuation-Galerkin methods for semilinear elliptic partial differential equations’, Numerical Methods for Partial Differential Equations, 33(6). Available at: https://doi.org/10.1002/num.22177.
M. Amrein and T. P. Wihler, “Adaptive pseudo-transient-continuation-Galerkin methods for semilinear elliptic partial differential equations,” Numerical Methods for Partial Differential Equations, vol. 33, no. 6, 2017, doi: 10.1002/num.22177.
AMREIN, Mario und Thomas P. WIHLER, 2017. Adaptive pseudo-transient-continuation-Galerkin methods for semilinear elliptic partial differential equations. Numerical Methods for Partial Differential Equations. 2017. Bd. 33, Nr. 6. DOI 10.1002/num.22177
Amrein, Mario, and Thomas P. Wihler. 2017. “Adaptive Pseudo-Transient-Continuation-Galerkin Methods for Semilinear Elliptic Partial Differential Equations.” Numerical Methods for Partial Differential Equations 33 (6). https://doi.org/10.1002/num.22177.
Amrein, Mario, and Thomas P. Wihler. “Adaptive Pseudo-Transient-Continuation-Galerkin Methods for Semilinear Elliptic Partial Differential Equations.” Numerical Methods for Partial Differential Equations, vol. 33, no. 6, 2017, https://doi.org/10.1002/num.22177.


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