Show simple item record

dc.contributor.authorBarrios T.P.
dc.contributor.authorCascón J.M.
dc.contributor.authorGonzalez M.
dc.date.accessioned2016-06-13T13:11:51Z
dc.date.available2016-06-13T13:11:51Z
dc.date.issued2015-12-31
dc.identifier.issn0045-7825
dc.identifier.urihttp://hdl.handle.net/20.500.11824/91
dc.description.abstractWe develop an a posteriori error analysis of residual type of a stabilized mixed finite element method for Darcy flow. The stabilized formulation is obtained by adding to the standard dual-mixed approach suitable residual type terms arising from Darcy's law and the mass conservation equation. We derive sufficient conditions on the stabilization parameters that guarantee that the augmented variational formulation and the corresponding Galerkin scheme are well-posed. Then, we obtain a simple a posteriori error estimator and prove that it is reliable and locally efficient. Finally, we provide several numerical experiments that illustrate the theoretical results and support the use of the corresponding adaptive algorithm in practice.
dc.formatapplication/pdf
dc.languageeng
dc.publisherComputer Methods in Applied Mechanics and Engineering
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectA posteriori error estimator
dc.subjectDarcy flow
dc.subjectMixed finite element
dc.subjectStabilization
dc.titleA posteriori error analysis of an augmented mixed finite element method for Darcy flow
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion
dc.identifier.doi10.1016/j.cma.2014.10.035
dc.relation.publisherversionhttp://www.sciencedirect.com/science/article/pii/S0045782514004058


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

info:eu-repo/semantics/openAccess
Except where otherwise noted, this item's license is described as info:eu-repo/semantics/openAccess