A Moving Least Squares Approach to the Construction of Discontinuous Enrichment Functions

Marc Alexander Schweitzer () and Sa Wu ()
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Marc Alexander Schweitzer: Universität Stuttgart, Institut für Parallele und Verteilte Systeme
Sa Wu: Universität Stuttgart, Institut für Parallele und Verteilte Systeme

A chapter in Singular Phenomena and Scaling in Mathematical Models, 2014, pp 347-360 from Springer

Abstract: Abstract In this paper we are concerned with the construction of a piecewise smooth field from scattered data by a moving least squares approach. This approximation problem arises when so-called enrichment functions for a generalized finite element method are computed by a particle scheme on a finer scale. The presented approach is similar in spirit to the so-called visibility criterion but avoids the explicit reconstruction of the location of the discontinuity.

Keywords: Enrichment Functions; Moving Least Squares; Generalized Finite Element Method (GFEM); Piecewise Smooth fields; Adjacency Information (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-00786-1_15

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DOI: 10.1007/978-3-319-00786-1_15

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