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dc.contributor.authorRuiz Gironés, Eloi
dc.contributor.authorRoca Navarro, Francisco Javier
dc.contributor.authorSarrate Ramos, Josep
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2017-06-09T08:12:40Z
dc.date.available2017-06-09T08:12:40Z
dc.date.issued2013
dc.identifier.citationRuiz, E., Roca, X., Sarrate, J. Size preserving mesh generation in adaptivity processes. A: Congreso de Métodos Numéricos en Ingeniería. "Proceedings del Congreso de Métodos Numéricos en Ingenieria , CMN 2013, 25-28 de Junio de 2013". Bilbao: Sociedad Española de Métodos Numéricos en Ingeniería (SEMNI), 2013, p. 1-15.
dc.identifier.urihttp://hdl.handle.net/2117/105266
dc.description.abstractIt is well known that the variations of the element size have to be controlled in order to generate a high-quality mesh. Hence, several techniques have been developed to limit the gradient of the element size. Although these methods allow generating high-quality meshes, the obtained discretizations do not always reproduce the prescribed size function. Specifically, small elements may not be generated in a region where small element size is prescribed. This is critical for many practical simulations, where small elements are needed to reduce the error of the numerical simulation. To solve this issue, we present the novel size-preserving technique to control the mesh size function prescribed at the vertices of a background mesh. The result is a new size function that ensures a high-quality mesh with all the elements smaller or equal to the prescribed element size. That is, we ensure that the new mesh handles at least one element of the correct size at each local minima of the size function. In addition, the gradient of the size function is limited to obtain a high-quality mesh. Two direct applications are presented. First, we show that we can reduce the number of iterations to converge an adaptive process, since we do not need additional iterations to generate a valid mesh. Second, the size-preserving approach allows to generate quadri- lateral meshes that correctly preserves the prescribed element size.
dc.format.extent15 p.
dc.language.isoeng
dc.publisherSociedad Española de Métodos Numéricos en Ingeniería (SEMNI)
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització
dc.subject.lcshStrength of materials
dc.subject.lcshElasticity
dc.subject.otherMesh size function
dc.subject.otherbackground mesh
dc.subject.otheradaptive process
dc.subject.otherquadrilateral mesh
dc.subject.othergradient-limiting
dc.titleSize preserving mesh generation in adaptivity processes
dc.typeConference report
dc.subject.lemacResistència de materials
dc.subject.lemacElasticitat
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74P Optimization
dc.subject.amsClassificació AMS::74 Mechanics of deformable solids::74S Numerical methods
dc.relation.publisherversionhttp://congress.cimne.com/cmn_2013/Proceedings/full/p534.pdf
dc.rights.accessOpen Access
local.identifier.drac21080509
dc.description.versionPostprint (published version)
local.citation.authorRuiz, E.; Roca, X.; Sarrate, J.
local.citation.contributorCongreso de Métodos Numéricos en Ingeniería
local.citation.pubplaceBilbao
local.citation.publicationNameProceedings del Congreso de Métodos Numéricos en Ingenieria , CMN 2013, 25-28 de Junio de 2013
local.citation.startingPage1
local.citation.endingPage15


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