Elliptic Problems in Curved Domains Using Cubature Points Based Triangular Spectral Elements and Isoparametric Mappings
Year: 2020
Author: Richard Pasquetti
Journal of Mathematical Study, Vol. 53 (2020), Iss. 3 : pp. 237–246
Abstract
Using the cubature points based triangular spectral element method and isoparametric mappings, we provide accuracy results for elliptic problems in non polygonal domains. Two regimes of convergence, associated to the bulk and to the boundary of the computational domain are clearly discerned and an efficient way to define the isoparametric mapping is proposed.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v53n3.20.01
Journal of Mathematical Study, Vol. 53 (2020), Iss. 3 : pp. 237–246
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Spectral element method triangular elements curved domains isoparametric mappings cubature points diagonal mass matrix.