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Volume 22, Issue 2
Polynomial Preserving Recovery for Anisotropic and Irregular Grids

Zhimin Zhang

J. Comp. Math., 22 (2004), pp. 331-340.

Published online: 2004-04

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  • 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.  

  • Keywords

Finite element, Superconvergence, Gradient recovery, A posteriori error estimate.

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COPYRIGHT: © Global Science Press

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@Article{JCM-22-331, author = {Zhimin Zhang}, title = {Polynomial Preserving Recovery for Anisotropic and Irregular Grids}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {2}, pages = {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.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10332.html} }
TY - JOUR T1 - Polynomial Preserving Recovery for Anisotropic and Irregular Grids AU - Zhimin Zhang JO - Journal of Computational Mathematics VL - 2 SP - 331 EP - 340 PY - 2004 DA - 2004/04 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10332.html KW - Finite element, Superconvergence, Gradient recovery, A posteriori error estimate. AB -

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.  

Zhimin Zhang. (2004). Polynomial Preserving Recovery for Anisotropic and Irregular Grids. Journal of Computational Mathematics. 22 (2). 331-340. doi:
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