Error estimates of H~1-Galerkin mixed finite element methods for nonlinear Parabolic problem

摘要

In this paper, H~1-Galerkin mixed element method is proposed to simulate the nonlinear Parabolic problem. The problem is considered in one dimensional space. L~2 and H~1 optimal error estimates are also established, In particular, our methods can simultaneously approximate the scalar unknown and the vector flux effectively, without requiring the LBB consistency condition .