Author(s)

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.

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.

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

Y. Zhang, Y. Niu and D. Shi, "Nonconforming H¹-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations," American Journal of Computational Mathematics, Vol. 2 No. 4, 2012, pp. 269-273. doi: 10.4236/ajcm.2012.24036.