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Nonconforming <i>H</i><sup>1</sup>-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
School of Mathematics and Statistics, Xuchang University, Xuchang, China
School of Mathematics and Statistics, Xuchang University, Xuchang, China
Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China
- 1 School of Mathematics and Statistics, Xuchang University, Xuchang, China
- 2 School of Mathematics and Statistics, Xuchang University, Xuchang, China
- 3 Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China
American Journal of Computational Mathematics·Volume 02 (2012)·Pages 269–273·Published 18 December 2012·DOI10.4236/ajcm.2012.24036
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Abstract
Based on H 1 -Galerkin mixed finite element method with nonconforming quasi-Wilson element, a numerical approximate scheme is established for pseudo-hyperbolic equations under arbitrary quadrilateral meshes. The corresponding optimal order error estimate is derived by the interpolation technique instead of the generalized elliptic projection which is necessary for classical error estimates of finite element analysis.
KeywordsPseudo-Hyperbolic EquationNonconformingH1-Galerkin Mixed Finite ElementError Estimate
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