Polynomial Preserving Recovery for Anisotropic and Irregular Grids

Polynomial Preserving Recovery for Anisotropic and Irregular Grids

Year:    2004

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 2 : pp. 331–340

Abstract

Some properties of a newly developed polynomial preserving gradient recovery technique are discussed. Both practical and theoretical issues are addressed. Boundedness property is considered especially under anisotropic grids. For even-order finite element space, an ultra-convergence property is established under translation invariant meshes; for linear element, a superconvergence result is proven for unstructured grids generated by the Delaunay triangulation.  

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-JCM-10332

Journal of Computational Mathematics, Vol. 22 (2004), Iss. 2 : pp. 331–340

Published online:    2004-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Finite element Superconvergence Gradient recovery A posteriori error estimate.