TITLE:
Nonconforming Mixed Finite Element Method for Nonlinear Hyperbolic Equations
AUTHORS:
Haihong Wang, Cheng Guo
KEYWORDS:
Nonconforming Mixed Finite Element; Hyperbolic Equations; Semi-Discrete Scheme; Error Estimates
JOURNAL NAME:
Applied Mathematics,
Vol.3 No.3,
March
27,
2012
ABSTRACT: A nonconforming mixed finite element method for nonlinear hyperbolic equations is discussed. Existence and uniqueness of the solution to the discrete problem are proved. Priori estimates of optimal order are derived for both the displacement and the stress.