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dc.contributor.authorAmrein, Mario-
dc.contributor.authorMelenk, Jens M.-
dc.contributor.authorWihler, Thomas P.-
dc.date.accessioned2019-08-14T12:48:30Z-
dc.date.available2019-08-14T12:48:30Z-
dc.date.issued2016-08-02-
dc.identifier.issn0170-4214de_CH
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/17927-
dc.description.abstractIn this paper we develop an hp-adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1d, with possible singular perturbations. Our approach combines both a prediction-type adaptive Newton method and an hp-version adaptive finite element discretization (based on a robust a posteriori residual analysis), thereby leading to a fully hp-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.publisherWileyde_CH
dc.relation.ispartofMathematical Methods in the Applied Sciencesde_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectAdaptive Newton methodde_CH
dc.subjectAdaptive finite element methodde_CH
dc.subjectSemilinear elliptic problemde_CH
dc.subjectSingularly perturbed problemde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleAn hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problemsde_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/mma.4113de_CH
zhaw.funding.euNode_CH
zhaw.issue6de_CH
zhaw.originated.zhawNode_CH
zhaw.pages.end1985de_CH
zhaw.pages.start1973de_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.volume40de_CH
zhaw.publication.reviewPeer review (Publikation)de_CH
zhaw.author.additionalNode_CH
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Amrein, M., Melenk, J. M., & Wihler, T. P. (2016). An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems. Mathematical Methods in the Applied Sciences, 40(6), 1973–1985. https://doi.org/10.1002/mma.4113
Amrein, M., Melenk, J.M. and Wihler, T.P. (2016) ‘An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems’, Mathematical Methods in the Applied Sciences, 40(6), pp. 1973–1985. Available at: https://doi.org/10.1002/mma.4113.
M. Amrein, J. M. Melenk, and T. P. Wihler, “An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems,” Mathematical Methods in the Applied Sciences, vol. 40, no. 6, pp. 1973–1985, Aug. 2016, doi: 10.1002/mma.4113.
AMREIN, Mario, Jens M. MELENK und Thomas P. WIHLER, 2016. An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems. Mathematical Methods in the Applied Sciences. 2 August 2016. Bd. 40, Nr. 6, S. 1973–1985. DOI 10.1002/mma.4113
Amrein, Mario, Jens M. Melenk, and Thomas P. Wihler. 2016. “An Hp-Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems.” Mathematical Methods in the Applied Sciences 40 (6): 1973–85. https://doi.org/10.1002/mma.4113.
Amrein, Mario, et al. “An Hp-Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems.” Mathematical Methods in the Applied Sciences, vol. 40, no. 6, Aug. 2016, pp. 1973–85, https://doi.org/10.1002/mma.4113.


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