Error analysis of a least squares pseudo-derivative moving least squares method

Abstract Meshfree methods offer the potential to relieve the scientist from the time consuming grid generation process especially in cases where localized mesh refinement is desired. Moving least squares (MLS) methods are considered such a meshfree technique. The pseudo-derivative (PD) approach has...

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Autores principales:	Clack,Jhules, French,Donald A., Osorio,Mauricio
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2017
Materias:	Pseudo-derivatives moving least square methods and error estimates.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000300435
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spelling	oai:scielo:S0716-091720170003004352017-10-31Error analysis of a least squares pseudo-derivative moving least squares methodClack,JhulesFrench,Donald A.Osorio,Mauricio Pseudo-derivatives moving least square methods and error estimates. Abstract Meshfree methods offer the potential to relieve the scientist from the time consuming grid generation process especially in cases where localized mesh refinement is desired. Moving least squares (MLS) methods are considered such a meshfree technique. The pseudo-derivative (PD) approach has been used in many papers to simplify the manipulations involved in MLS schemes. In this paper, we provide theoretical error estimates for a least squares implementation of an MLS/PD method with a stabilization mechanism. Some beginning computations suggest this stabilization leads to good matrix conditioning.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.3 20172017-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000300435en10.4067/S0716-09172017000300435
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Pseudo-derivatives moving least square methods and error estimates.
spellingShingle	Pseudo-derivatives moving least square methods and error estimates. Clack,Jhules French,Donald A. Osorio,Mauricio Error analysis of a least squares pseudo-derivative moving least squares method
description	Abstract Meshfree methods offer the potential to relieve the scientist from the time consuming grid generation process especially in cases where localized mesh refinement is desired. Moving least squares (MLS) methods are considered such a meshfree technique. The pseudo-derivative (PD) approach has been used in many papers to simplify the manipulations involved in MLS schemes. In this paper, we provide theoretical error estimates for a least squares implementation of an MLS/PD method with a stabilization mechanism. Some beginning computations suggest this stabilization leads to good matrix conditioning.
author	Clack,Jhules French,Donald A. Osorio,Mauricio
author_facet	Clack,Jhules French,Donald A. Osorio,Mauricio
author_sort	Clack,Jhules
title	Error analysis of a least squares pseudo-derivative moving least squares method
title_short	Error analysis of a least squares pseudo-derivative moving least squares method
title_full	Error analysis of a least squares pseudo-derivative moving least squares method
title_fullStr	Error analysis of a least squares pseudo-derivative moving least squares method
title_full_unstemmed	Error analysis of a least squares pseudo-derivative moving least squares method
title_sort	error analysis of a least squares pseudo-derivative moving least squares method
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2017
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000300435
work_keys_str_mv	AT clackjhules erroranalysisofaleastsquarespseudoderivativemovingleastsquaresmethod AT frenchdonalda erroranalysisofaleastsquarespseudoderivativemovingleastsquaresmethod AT osoriomauricio erroranalysisofaleastsquarespseudoderivativemovingleastsquaresmethod
_version_	1718439825317560320

Error analysis of a least squares pseudo-derivative moving least squares method

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