Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization

Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization

Bibliographic Details
Main Author: Osorio, Mauricio Andres
Language:English
Published: University of Cincinnati / OhioLINK 2010
Subjects:
Mathematics
Meshfree methods
Meshless methods
Error Estimates
Diffuse Derivative
Diffuse Element Method
Moving Least Squares
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=ucin1273521053
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-ucin12735210532021-08-03T06:13:52Z Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization Osorio, Mauricio Andres Mathematics Meshfree methods Meshless methods Error Estimates Diffuse Derivative Diffuse Element Method Moving Least Squares A meshfree method with diffuse derivatives in a Galerkin framework is developed for second order partial differential equation problems. A unified treatment of the diffuse derivative and an error analysis for this new method are provided in the case of elliptic boundary value problems with Neumann boundary conditions in one and multiple dimensions. To our knowledge, this is the first time an error analysis of a diffuse derivative scheme with high order accuracy has been done. Computational results for this new scheme in one and two dimensions are also provided and confirm the theoretical convergence rates. 2010-08-05 English text University of Cincinnati / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ucin1273521053 http://rave.ohiolink.edu/etdc/view?acc_num=ucin1273521053 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mathematics
Meshfree methods
Meshless methods
Error Estimates
Diffuse Derivative
Diffuse Element Method
Moving Least Squares
spellingShingle Mathematics
Meshfree methods
Meshless methods
Error Estimates
Diffuse Derivative
Diffuse Element Method
Moving Least Squares
Osorio, Mauricio Andres
Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization
author Osorio, Mauricio Andres
author_facet Osorio, Mauricio Andres
author_sort Osorio, Mauricio Andres
title Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization
title_short Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization
title_full Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization
title_fullStr Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization
title_full_unstemmed Error Estimates for a Meshfree Method with Diffuse Derivatives and Penalty Stabilization
title_sort error estimates for a meshfree method with diffuse derivatives and penalty stabilization
publisher University of Cincinnati / OhioLINK
publishDate 2010
url http://rave.ohiolink.edu/etdc/view?acc_num=ucin1273521053
work_keys_str_mv AT osoriomauricioandres errorestimatesforameshfreemethodwithdiffusederivativesandpenaltystabilization
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