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
Description
Summary: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
ISSN:1794-9165
2256-4314

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