✦ LIBER ✦
Convergence and superconvergence analysis of an anisotropic nonconforming finite element methods for semisingularly perturbed reaction–diffusion problems
✍ Scribed by Guoqing Zhu; Shaochun Chen
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 339 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.978
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✦ Synopsis
Abstract
The numerical approximation by a lower‐order anisotropic nonconforming finite element on appropriately graded meshes are considered for solving semisingular perturbation problems. The quasi‐optimal‐order error estimates are proved in the ε‐weighted H^1^‐norm valid uniformly, up to a logarithmic factor, in the singular perturbation parameter. By using the interpolation postprocessing technique, the global superconvergent error estimates in ε‐weighted H^1^‐norm are obtained. Numerical experiments are given to demonstrate validity of our theoretical analysis. Copyright © 2007 John Wiley & Sons, Ltd.