Mostra el registre d'ítem simple
Cell-based maximum-entropy approximants
dc.contributor.author | Millán, Daniel |
dc.contributor.author | Sukumar, N |
dc.contributor.author | Arroyo Balaguer, Marino |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2015-10-22T11:16:42Z |
dc.date.available | 2017-02-01T01:30:39Z |
dc.date.issued | 2015-02-01 |
dc.identifier.citation | Millán, D., Sukumar, N., Arroyo, M. Cell-based maximum-entropy approximants. "Computer methods in applied mechanics and engineering", 01 Febrer 2015, vol. 284, p. 712-731. |
dc.identifier.issn | 0045-7825 |
dc.identifier.uri | http://hdl.handle.net/2117/78127 |
dc.description.abstract | In this paper, we devise cell-based maximum-entropy (max-ent) basis functions that are used in a Galerkin method for the solution of partial differential equations. The motivation behind this work is the construction of smooth approximants with controllable support on unstructured meshes. In the variational scheme to obtain max-ent basis functions, the nodal prior weight function is constructed from an approximate distance function to a polygonal curve in R-2. More precisely, we take powers of the composition of R-functions via Boolean operations. The basis functions so constructed are nonnegative, smooth, linearly complete, and compactly-supported in a neighbor-ring of segments that enclose each node. The smoothness is controlled by two positive integer parameters: the normalization order of the approximation of the distance function and the power to which it is raised. The properties and mathematical foundations of the new compactly-supported approximants are described, and its use to solve two-dimensional elliptic boundary-value problems (Poisson equation and linear elasticity) is demonstrated. The sound accuracy and the optimal rates of convergence of the method in Sobolev norms are established. (C) 2014 Elsevier B. V. All rights reserved. |
dc.format.extent | 20 p. |
dc.language.iso | eng |
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.lcsh | Numerical analysis |
dc.subject.other | Delaunay mesh |
dc.subject.other | Relative entropy |
dc.subject.other | Smooth and nonnegative basis functions |
dc.subject.other | Compact-support |
dc.subject.other | R-functions |
dc.subject.other | Approximate distance function |
dc.subject.other | ARBITRARY PLANAR POLYGONS |
dc.subject.other | MOVING LEAST-SQUARES |
dc.subject.other | MESHFREE METHOD |
dc.subject.other | FINITE-ELEMENTS |
dc.subject.other | DISTANCE FIELDS |
dc.subject.other | ISOGEOMETRIC ANALYSIS |
dc.subject.other | CONVOLUTION SURFACES |
dc.subject.other | PART I |
dc.subject.other | FORMULATION |
dc.subject.other | CONSTRUCTION |
dc.title | Cell-based maximum-entropy approximants |
dc.type | Article |
dc.subject.lemac | Anàlisi numèrica |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1016/j.cma.2014.10.012 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65K Mathematical programming, optimization and variational techniques |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S004578251400382X |
dc.rights.access | Open Access |
local.identifier.drac | 15572206 |
dc.description.version | Postprint (author’s final draft) |
dc.relation.projectid | info:eu-repo/grantAgreement/EC/FP7/240487/EU/Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach/PREDMODSIM |
local.citation.author | Millán, D.; Sukumar, N.; Arroyo, M. |
local.citation.publicationName | Computer methods in applied mechanics and engineering |
local.citation.volume | 284 |
local.citation.startingPage | 712 |
local.citation.endingPage | 731 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.267]
-
Articles de revista [590]