Convergence Analysis of Morley Element on Anisotropic Meshes

Convergence Analysis of Morley Element on Anisotropic Meshes

Year:    2006

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 2 : pp. 169–180

Abstract

The main aim of this paper is to study the convergence of a nonconforming triangular plate element-Morley element under anisotropic meshes. By a novel approach, an explicit bound for the interpolation error is derived for arbitrary triangular meshes (which even need not satisfy the maximal angle condition and the coordinate system condition ), the optimal consistency error is obtained for a family of anisotropically graded finite element meshes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JCM-8743

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 2 : pp. 169–180

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Anisotropic meshes Interpolation error Consistency error Morley element.