Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization

Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization

A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided. Theoretical and numerical results show that th...

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Bibliographic Details
Main Authors: Mauricio Osorio, Donald French
Format: Article
Language:English
Published: Universidad EAFIT 2013-03-01
Series:Ingeniería y Ciencia
Subjects:
Meshfree methods
diffuse derivatives
moving least squares
diffuse element method and error estimates.
Online Access:http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1825
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spelling doaj-a5ac8ee497884f52925d34341051dc932020-11-25T02:34:41ZengUniversidad EAFITIngeniería y Ciencia1794-91652256-43142013-03-0191710.17230/ingciecia.9.17.31825Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilizationMauricio Osorio0Donald French1Universidad Nacional de ColombiaUniversity of Cincinnati A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided. Theoretical and numerical results show that the approximation error and the convergence rate are better than the diffuse element method. MSC: 65N12, 65N15, 65N30 http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1825Meshfree methodsdiffuse derivativesmoving least squaresdiffuse element method and error estimates.
collection DOAJ
language English
format Article
sources DOAJ
author Mauricio Osorio
Donald French
spellingShingle Mauricio Osorio
Donald French
Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
Ingeniería y Ciencia
Meshfree methods
diffuse derivatives
moving least squares
diffuse element method and error estimates.
author_facet Mauricio Osorio
Donald French
author_sort Mauricio Osorio
title Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_short Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_full Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_fullStr Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_full_unstemmed Error estimates for a multidimensional meshfree Galerkin method with diffuse derivatives and stabilization
title_sort error estimates for a multidimensional meshfree galerkin method with diffuse derivatives and stabilization
publisher Universidad EAFIT
series Ingeniería y Ciencia
issn 1794-9165
2256-4314
publishDate 2013-03-01
description A meshfree method with diffuse derivatives and a penalty stabilization is developed. An error analysis for the approximation of the solution of a general elliptic differential equation, in several dimensions, with Neumann boundary conditions is provided. Theoretical and numerical results show that the approximation error and the convergence rate are better than the diffuse element method. MSC: 65N12, 65N15, 65N30
topic Meshfree methods
diffuse derivatives
moving least squares
diffuse element method and error estimates.
url http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/1825
work_keys_str_mv AT mauricioosorio errorestimatesforamultidimensionalmeshfreegalerkinmethodwithdiffusederivativesandstabilization
AT donaldfrench errorestimatesforamultidimensionalmeshfreegalerkinmethodwithdiffusederivativesandstabilization
_version_ 1724807330053226496

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