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2005-03-10Buch DOI: 10.18452/2722
A Posteriori Dual-Mixed Adaptive Finite Element Error Control for Lamé and Stokes Equations
dc.contributor.authorCarstensen, Carsten
dc.contributor.authorCausin, Paola
dc.contributor.authorSacco, Riccardo
dc.date.accessioned2017-06-15T18:05:27Z
dc.date.available2017-06-15T18:05:27Z
dc.date.created2005-11-17
dc.date.issued2005-03-10
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3374
dc.description.abstractA unified and robust mathematical model for compressible and incompressible linear elasticity can be obtained by rephrasing the Herrmann formulation within the Hellinger-Reissner principle. This quasi-optimally converging extension of PEERS (Plane Elasticity Element with Reduced Symmetry) is called Dual-Mixed Hybrid formulation (DMH). Explicit residual-based a posteriori error estimates for DMH are introduced and are mathematically shown to be locking-free, reliable, and efficient. The estimator serves as a refinement indicator in an adaptive algorithm for effective automatic mesh generation. Numerical evidence supports that the adaptive scheme leads to optimal convergence for Lamé and Stokes benchmark problems with singularities.eng
dc.language.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.subjectFinite elementseng
dc.subjectRayleigh-Ritz and Galerkin methodseng
dc.subjectfinite methodseng
dc.subject.ddc510 Mathematik
dc.titleA Posteriori Dual-Mixed Adaptive Finite Element Error Control for Lamé and Stokes Equations
dc.typebook
dc.subtitleA Posteriori Dual-Mixed AFE Error Control
dc.identifier.urnurn:nbn:de:kobv:11-10053961
dc.identifier.doihttp://dx.doi.org/10.18452/2722
local.edoc.container-titlePreprints aus dem Institut für Mathematik
local.edoc.pages28
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-volume2005
local.edoc.container-issue2
local.edoc.container-year2005
local.edoc.container-erstkatid2075199-0

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