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dc.contributor.authorAmrein, Mario-
dc.contributor.authorWihler, Thomas P.-
dc.date.accessioned2018-09-27T14:02:19Z-
dc.date.available2018-09-27T14:02:19Z-
dc.date.issued2015-
dc.identifier.issn1064-8275de_CH
dc.identifier.issn1095-7197de_CH
dc.identifier.issn0196-5204de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/11177-
dc.description.abstractIn this paper we develop an adaptive procedure for the numerical solution of general, semilinear elliptic problems with possible singular perturbations. Our approach combines both prediction-type adaptive Newton methods and a linear adaptive finite element discretization (based on a robust a posteriori error analysis), thereby leading to a fully adaptive Newton-Galerkin scheme. Numerical experiments underline the robustness and reliability of the proposed approach for various examples.de_CH
dc.language.isoende_CH
dc.publisherSociety for Industrial and Applied Mathematicsde_CH
dc.relation.ispartofSIAM Journal on Scientific Computingde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleFully adaptive Newton-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.doi10.1137/140983537de_CH
zhaw.funding.euNode_CH
zhaw.issue4de_CH
zhaw.originated.zhawYesde_CH
zhaw.pages.endA1657de_CH
zhaw.pages.startA1637de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume37de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
Appears in collections:Publikationen School of Management and Law

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Amrein, M., & Wihler, T. P. (2015). Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations. SIAM Journal on Scientific Computing, 37(4), A1637–A1657. https://doi.org/10.1137/140983537
Amrein, M. and Wihler, T.P. (2015) ‘Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations’, SIAM Journal on Scientific Computing, 37(4), pp. A1637–A1657. Available at: https://doi.org/10.1137/140983537.
M. Amrein and T. P. Wihler, “Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations,” SIAM Journal on Scientific Computing, vol. 37, no. 4, pp. A1637–A1657, 2015, doi: 10.1137/140983537.
AMREIN, Mario und Thomas P. WIHLER, 2015. Fully adaptive Newton-Galerkin methods for semilinear elliptic partial differential equations. SIAM Journal on Scientific Computing. 2015. Bd. 37, Nr. 4, S. A1637–A1657. DOI 10.1137/140983537
Amrein, Mario, and Thomas P. Wihler. 2015. “Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations.” SIAM Journal on Scientific Computing 37 (4): A1637–A57. https://doi.org/10.1137/140983537.
Amrein, Mario, and Thomas P. Wihler. “Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations.” SIAM Journal on Scientific Computing, vol. 37, no. 4, 2015, pp. A1637–57, https://doi.org/10.1137/140983537.


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