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dc.contributor.author del Pezzo, Leandro Martin
dc.contributor.author Lombardi, Ariel Luis
dc.contributor.author Martinez, Sandra Rita
dc.date.available 2017-07-10T17:47:41Z
dc.date.issued 2012-09
dc.identifier.citation del Pezzo, Leandro Martin; Lombardi, Ariel Luis; Martinez, Sandra Rita; Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian; Siam Publications; Siam Journal On Numerical Analysis; 50; 5; 9-2012; 2497-2521
dc.identifier.issn 0036-1429
dc.identifier.uri http://hdl.handle.net/11336/19994
dc.description.abstract In this paper we construct an “interior penalty” discontinuous Galerkin method to approximate the minimizer of a variational problem related to the $p(x)$-Laplacian. The function $p:\Omega\to [p_1,p_2]$ is log-Hölder continuous and $1<p_1\leq p_2<\infty$. We prove that the minimizers of the discrete functional converge to the solution. We also make some numerical experiments in dimension one to compare this method with the conforming Galerkin method, in the case where $p_1$ is close to one. This example is motivated by its applications to image processing.
dc.format application/pdf
dc.language.iso eng
dc.publisher Siam Publications
dc.rights info:eu-repo/semantics/openAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject Variable exponent spaces
dc.subject Minimization
dc.subject Discontinuous Galerkin
dc.subject.classification Matemática Pura
dc.subject.classification Matemáticas
dc.subject.classification CIENCIAS NATURALES Y EXACTAS
dc.title Interior penalty discontinuous Galerkin FEM for the $p(x)$-Laplacian
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2017-07-07T14:43:31Z
dc.identifier.eissn 1095-7170
dc.journal.volume 50
dc.journal.number 5
dc.journal.pagination 2497-2521
dc.journal.pais Estados Unidos
dc.description.fil Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil Fil: Lombardi, Ariel Luis. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil Fil: Martinez, Sandra Rita. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title Siam Journal On Numerical Analysis
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1137/110820324
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/http://epubs.siam.org/doi/abs/10.1137/110820324


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    Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"

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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)