Nonconforming Mixed Finite Element Method for Nonlinear Hyperbolic Equations

Haihong Wang, Cheng Guo

Department of Mathematical and Information Scientific, Henan University of Economics and Low, Zhengzhou, China.
Department of Mathematics, Zhengzhou Normal University, Zhengzhou, China.

DOI: 10.4236/am.2012.33037                

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.

Keywords

Nonconforming Mixed Finite Element; Hyperbolic Equations; Semi-Discrete Scheme; Error Estimates

Conflicts of Interest

The authors declare no conflicts of interest.

References

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