A-posteriori error estimates for linear exterior problems via mixed-FEM and DTN mappings

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dc.identifier.uri http://dx.doi.org/10.15488/2657
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2683
dc.contributor.author Barrientos, Mauricio A.
dc.contributor.author Gatica, Gabriel N.
dc.contributor.author Maischak, Matthias
dc.date.accessioned 2018-01-29T10:20:24Z
dc.date.available 2018-01-29T10:20:24Z
dc.date.issued 2002
dc.identifier.citation Barrientos, M.A.; Gatica, G.N.; Maischak, M.: A-posteriori error estimates for linear exterior problems via mixed-FEM and DTN mappings. In: Mathematical Modelling and Numerical Analysis 36 (2002), Nr. 2, S. 241-272. DOI: https://doi.org/10.1051/m2an:2002011
dc.description.abstract In this paper we combine the dual-mixed finite element method with a Dirichlet-to-Neumann mapping (given in terms of a boundary integral operator) to solve linear exterior transmission problems in the plane. As a model we consider a second order elliptic equation in divergence form coupled with the Laplace equation in the exterior unbounded region. We show that the resulting mixed variational formulation and an associated discrete scheme using Raviart-Thomas spaces are well posed, and derive the usual Cea error estimate and the corresponding rate of convergence. In addition, we develop two different a-posteriori error analyses yielding explicit residual and implicit Bank-Weiser type reliable estimates, respectively. Several numerical results illustrate the suitability of these estimators for the adaptive computation of the discrete solutions. eng
dc.language.iso eng
dc.publisher Cambridge : Cambridge University Press
dc.relation.ispartofseries Mathematical Modelling and Numerical Analysis 36 (2002), Nr. 2
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Bank-Weiser approach eng
dc.subject Dirichlet-to-Neumann mapping eng
dc.subject Mixed finite elements eng
dc.subject Raviart-Thomas spaces eng
dc.subject Residual based estimates eng
dc.subject.ddc 510 | Mathematik ger
dc.title A-posteriori error estimates for linear exterior problems via mixed-FEM and DTN mappings
dc.type article
dc.type Text
dc.relation.issn 0764-583X
dc.relation.doi https://doi.org/10.1051/m2an:2002011
dc.bibliographicCitation.issue 2
dc.bibliographicCitation.volume 36
dc.bibliographicCitation.firstPage 241
dc.bibliographicCitation.lastPage 272
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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