Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods

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dc.catalogadorpva
dc.contributor.authorAurada, M.
dc.contributor.authorFeischl, M.
dc.contributor.authorFührer, T.
dc.contributor.authorKarkulik, Michael
dc.contributor.authorPraetorius, D.
dc.date.accessioned2023-07-17T16:11:20Z
dc.date.available2023-07-17T16:11:20Z
dc.date.issued2013
dc.description.abstractWe prove convergence and quasi-optimality of a lowest-order adaptive boundary element method for a weakly-singular integral equation in 2D. The adaptive mesh-refinement is driven by the weighted-residual error estimator. By proving that this estimator is not only reliable, but under some regularity assumptions on the given data also efficient on locally refined meshes, we characterize the approximation class in terms of the Galerkin error only. In particular, this yields that no adaptive strategy can do better, and the weighted-residual error estimator is thus an optimal choice to steer the adaptive mesh-refinement. As a side result, we prove a weak form of the saturation assumption.
dc.fechaingreso.objetodigital2023-07-17
dc.fuente.origenORCID
dc.identifier.doi10.1515/cmam-2013-0010
dc.identifier.urihttps://doi.org/10.1515/cmam-2013-0010
dc.identifier.urihttp://www.scopus.com/inward/record.url?eid=2-s2.0-84881592248&partnerID=MN8TOARS
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/74183
dc.information.autorucFacultad de matemáticas; Karkulik, Michael; S/I; 229931
dc.issue.numero3
dc.language.isoen
dc.nota.accesoContenido completo
dc.pagina.final332
dc.pagina.inicio305
dc.revistaComputational Methods in Applied Mathematicses_ES
dc.rightsacceso abierto
dc.subjectA posteriori error estimatees_ES
dc.subjectAdaptive algorithmes_ES
dc.subjectBoundary element methodes_ES
dc.subjectConvergencees_ES
dc.subjectOptimalityes_ES
dc.subjectWeakly-singular integral equationes_ES
dc.subject.ddc510
dc.subject.deweyMatemática física y químicaes_ES
dc.titleEfficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methodses_ES
dc.typeartículo
dc.volumen13
sipa.codpersvinculados229931
sipa.trazabilidadORCID;2023-07-17
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