TITLE:
Nonconforming H1-Galerkin Mixed Finite Element Method for Pseudo-Hyperbolic Equations
AUTHORS:
Yadong Zhang, Yuqi Niu, Dongwei Shi
KEYWORDS:
Pseudo-Hyperbolic Equation; Nonconforming; H1-Galerkin Mixed Finite Element; Error Estimate
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.2 No.4,
December
18,
2012
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.