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dc.contributor.authorRuiz Gironès, Eloi
dc.contributor.authorGargallo Peiró, Abel
dc.contributor.authorSarrate Ramos, Josep
dc.contributor.authorRoca, Xevi
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.date.accessioned2019-07-05T07:46:04Z
dc.date.available2019-07-05T07:46:04Z
dc.date.issued2019-07
dc.identifier.citationRuiz Gironès , E. [et al.]. Automatically imposing incremental boundary displacements for valid mesh morphing and curving. "Computer-Aided Design", Juliol 2019, vol. 112, p. 47-62.
dc.identifier.issn0010-4485
dc.identifier.urihttp://hdl.handle.net/2117/165657
dc.description.abstractWe present a new incremental mesh morphing method obtained by proposing and discretizing a solution procedure for the continuous morphing problem. Our method seeks a diffeomorphism that transforms an initial domain to a final domain by only prescribing the boundary displacement. To this end, we propose to minimize the distortion of the morphing mapping constrained to satisfy the imposed boundary displacement. To solve this problem, we consider an augmented Lagrangian method in Hilbert spaces that incorporates the boundary condition in the objective function using the Lagrange multipliers and a penalty parameter. The distortion is devised to penalize the appearance of non-invertible mappings and therefore, we do not need to equip our discrete implementation with untangling capabilities. Moreover, we introduce a weight function to improve the quality of the deformation and thus, the robustness of the non-linear solver. The discretization of the continuous augmented Lagrangian method leads to a mesh morphing method suitable for large displacements and rotations of meshes with non-uniform sizing, and mesh curving of highly stretched high-order meshes.
dc.format.extent16 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica
dc.subject.lcshDifference equations, Partial--Numerical solutions
dc.subject.lcshDifferential equations, Partial
dc.subject.otherMesh morphing
dc.subject.otherMesh moving
dc.subject.otherMesh curving
dc.subject.otherSmoothing
dc.subject.otherBoundary displacements
dc.subject.otherAugmented lagrangian
dc.titleAutomatically imposing incremental boundary displacements for valid mesh morphing and curving
dc.typeArticle
dc.subject.lemacEquacions diferencials parcials--solucions numèriques
dc.subject.lemacEquacions en derivades parcials
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.identifier.doi10.1016/j.cad.2019.01.001
dc.identifier.dlElse
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems
dc.subject.amsClassificació AMS::35 Partial differential equations::35R Miscellaneous topics involving partial differential equations
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0010448519300028
dc.rights.accessOpen Access
local.identifier.drac23648167
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//CTM2014-55014-C3-3-R/ES/INTEGRACION DE NUEVAS METODOLOGIAS PARA LA PLANIFICACION Y ANALISIS MEDIOAMBIENTAL DE YACIMIENTOS PETROLIFEROS/
local.citation.authorRuiz Gironès , E.; Gargallo, A.; Sarrate, J.; Roca, X.
local.citation.publicationNameComputer-Aided Design
local.citation.volume112
local.citation.startingPage47
local.citation.endingPage62


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Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain