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Locking in the incompressible limit: pseudo-divergence-free element free Galerkin
dc.contributor.author | Vidal Seguí, Yolanda |
dc.contributor.author | Villon, Pierre |
dc.contributor.author | Huerta, Antonio |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2010-07-12T10:52:35Z |
dc.date.available | 2015-06-29T11:59:54Z |
dc.date.created | 2002-11 |
dc.date.issued | 2002-11 |
dc.identifier.citation | Vidal, Y.; Pierre, V.; Huerta, A. Locking in the incompressible limit: pseudo-divergence-free element free Galerkin. "Revue européenne des élements finis", Novembre 2002, vol. 11, núm. 7-8, p. 869-892. |
dc.identifier.issn | 1250-6559 |
dc.identifier.uri | http://hdl.handle.net/2117/8129 |
dc.description.abstract | Locking in finite elements has been a major concern since its early developments and has been extensively studied. However, locking in mesh-free methods is still an open topic. Until now the remedies proposed in the literature are extensions of already developed methods for finite elements. Here a new approach is explored and an improved formulation that asymptotically suppresses volumetric locking for the EFG method is proposed. The diffuse divergence converges to the exact divergence. Since the diffuse divergence-free condition can be imposed a priori, new interpolation functions are defined that asymptotically verify the incompressibility condition. Modal analysis and numerical results for classical benchmark tests in solids and fluids corroborate this issue. |
dc.format.extent | 24 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Galerkin methods |
dc.subject.other | Locking |
dc.subject.other | Element Free Galerkin |
dc.subject.other | Diffuse derivatives |
dc.subject.other | Moving Least Squares |
dc.subject.other | Incompressible flow |
dc.subject.other | LBB condition |
dc.title | Locking in the incompressible limit: pseudo-divergence-free element free Galerkin |
dc.type | Article |
dc.subject.lemac | Galerkin, Mètodes de |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.3166/reef.11.869-892 |
dc.description.peerreviewed | Peer Reviewed |
dc.rights.access | Open Access |
local.identifier.drac | 672402 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Vidal, Y.; Pierre, V.; Huerta, A. |
local.citation.publicationName | Revue européenne des élements finis |
local.citation.volume | 11 |
local.citation.number | 7-8 |
local.citation.startingPage | 869 |
local.citation.endingPage | 892 |
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