Polynomial preserving recovery for quadratic elements on anisotropic meshes |
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Authors: | Can Huang Zhimin Zhang |
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Affiliation: | 1. Department of Mathematics, Wayne State University, Detroit, MI 48202, USA;2. College of Mathematics and Computational Science, Sun‐Yat‐Sen University, Guangzhou, Guangdong 510275,China |
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Abstract: | Polynomial preserving gradient recovery technique under anisotropic meshes is further studied for quadratic elements. The analysis is performed for highly anisotropic meshes where the aspect ratios of element sides are unbounded. When the mesh is adapted to the solution that has significant changes in one direction but very little, if any, in another direction, the recovered gradient can be superconvergent. The results further explain why recovery type error estimator is robust even under nonstandard and highly distorted meshes. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2011 |
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Keywords: | anisotropic mesh finite element recovery superconvergence |
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