The research of nonlinear degenerate wave equations and its application on high accurarcy analysis

Zhiyan Li, Linghui Liu, Chungu

Abstract

The convergence analysis of the bilinear finite element method to a class of non-linear degenerate wave equation on anisotropic meshes is considered in this paper. Moreover, the global superconvergence for semidiscrete scheme is proposed through interpolation instead of the Ritz Volterra projection of the exact solution.