Nonconforming H¹-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations

Yadong Zhang, Yuqi Niu, Dongwei Shi

Department of Mathematics, Henan Institute of Science and Technology, Xinxiang, China.
School of Mathematics and Statistics, Xuchang University, Xuchang, China.

DOI: 10.4236/ajcm.2012.24036                

Abstract

Based on H¹-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.

Keywords

Pseudo-Hyperbolic Equation; Nonconforming; H1-Galerkin Mixed Finite Element; Error Estimate

Conflicts of Interest

The authors declare no conflicts of interest.

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