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

dc.creatorClack, Jhules
dc.creatorFrench, Donald A.
dc.creatorOsorio, Mauricio
dc.date2017-10-20
dc.identifierhttp://www.revistaproyecciones.cl/article/view/2389
dc.descriptionMeshfree 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 manipu- lations 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.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttp://www.revistaproyecciones.cl/article/view/2389/1978
dc.rightsDerechos de autor 2017 Proyecciones. Journal of Mathematicses-ES
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 36 No 3 (2017); 435-448en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 36 Núm. 3 (2017); 435-448es-ES
dc.source0717-6279
dc.source0716-0917
dc.titleError analysis of a least squares pseudo-derivative moving least squares method.en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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