An Anisotropic Nonconforming Finite Element Method for Approximating a Class of Nonlinear Sobolev Equations
Year: 2009
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 2-3 : pp. 299–314
Abstract
An anisotropic nonconforming finite element method is presented for a class of nonlinear Sobolev equations. The optimal error estimates and supercloseness are obtained for both semi-discrete and fully-discrete approximate schemes, which are the same as the traditional finite element methods. In addition, the global superconvergence is derived through the postprocessing technique. Numerical experiments are included to illustrate the feasibility of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-JCM-8574
Journal of Computational Mathematics, Vol. 27 (2009), Iss. 2-3 : pp. 299–314
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Nonlinear Sobolev equations Anisotropic Nonconforming finite element Supercloseness Global superconvergence.