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On stabilized finite element methods based on the Scott-Zhang projector: circumventing the inf-sup condition for the Stokes problem
dc.contributor.author | Badia, Santiago |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria |
dc.date.accessioned | 2012-11-14T17:36:27Z |
dc.date.created | 2012-11 |
dc.date.issued | 2012-11 |
dc.identifier.citation | Badia, S. On stabilized finite element methods based on the Scott-Zhang projector: circumventing the inf-sup condition for the Stokes problem. "Computer methods in applied mechanics and engineering", Novembre 2012, vol. 247-248, p. 65-72. |
dc.identifier.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/16919 |
dc.description.abstract | In this work we propose a stabilized nite element method that permits us to circumvent discrete inf-sup conditions, e.g. allowing equal order interpolation. The type of method we propose belongs to the family of symmetric stabilization techniques, which are based on the introduction of additional terms that penalize the di erence between some quantities, i.e. the pressure gradient in the Stokes problem, and their nite element projections. The key feature of the formulation we propose is the de nition of the projection to be used, a non-standard Scott-Zhang projector that is well-de ned for L1() functions. The resulting method has some appealing features: the projector is local and nested meshes or enriched spaces are not required. |
dc.format.extent | 8 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Stokes equations |
dc.subject.other | stabilized nite elements |
dc.subject.other | Stokes problem |
dc.subject.other | inde nite systems |
dc.title | On stabilized finite element methods based on the Scott-Zhang projector: circumventing the inf-sup condition for the Stokes problem |
dc.type | Article |
dc.subject.lemac | Stokes, Teorema d' |
dc.contributor.group | Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus |
dc.identifier.doi | 10.1016/j.cma.2012.07.020 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 11052443 |
dc.description.version | Postprint (published version) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/258443/EU/Computational Methods for Fusion Technology/COMFUS |
dc.date.lift | 10000-01-01 |
local.citation.author | Badia, S. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 247-248 |
local.citation.startingPage | 65 |
local.citation.endingPage | 72 |
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