Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition

摘要

This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition.The superclose property is derived through interpolation instead of the nonlinear H1 projection and integral identity technique.Meanwhile,the global superconvergence is obtained based on the interpolated postprocessing techniques.