Mostra el registre d'ítem simple
Automatically imposing incremental boundary displacements for valid mesh morphing and curving
dc.contributor.author | Ruiz Gironès, Eloi |
dc.contributor.author | Gargallo Peiró, Abel |
dc.contributor.author | Sarrate Ramos, Josep |
dc.contributor.author | Roca, Xevi |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental |
dc.date.accessioned | 2019-07-05T07:46:04Z |
dc.date.available | 2019-07-05T07:46:04Z |
dc.date.issued | 2019-07 |
dc.identifier.citation | Ruiz 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.issn | 0010-4485 |
dc.identifier.uri | http://hdl.handle.net/2117/165657 |
dc.description.abstract | We 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.extent | 16 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi matemàtica |
dc.subject.lcsh | Difference equations, Partial--Numerical solutions |
dc.subject.lcsh | Differential equations, Partial |
dc.subject.other | Mesh morphing |
dc.subject.other | Mesh moving |
dc.subject.other | Mesh curving |
dc.subject.other | Smoothing |
dc.subject.other | Boundary displacements |
dc.subject.other | Augmented lagrangian |
dc.title | Automatically imposing incremental boundary displacements for valid mesh morphing and curving |
dc.type | Article |
dc.subject.lemac | Equacions diferencials parcials--solucions numèriques |
dc.subject.lemac | Equacions en derivades parcials |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/j.cad.2019.01.001 |
dc.identifier.dl | Else |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems |
dc.subject.ams | Classificació AMS::35 Partial differential equations::35R Miscellaneous topics involving partial differential equations |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0010448519300028 |
dc.rights.access | Open Access |
local.identifier.drac | 23648167 |
dc.description.version | Postprint (author's final draft) |
dc.relation.projectid | info: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.author | Ruiz Gironès , E.; Gargallo, A.; Sarrate, J.; Roca, X. |
local.citation.publicationName | Computer-Aided Design |
local.citation.volume | 112 |
local.citation.startingPage | 47 |
local.citation.endingPage | 62 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.002]
-
Articles de revista [589]