Error Estimates of H1-Galerkin Mixed Finite Element Methods for Nonlinear Parabolic Problem
In this paper, H1-Galerkin mixed element method is proposed to simulate the nonlinear Parabolic problem. The problem is considered in one dimensional space. and 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.
H. T. Che "Error Estimates of H1-Galerkin Mixed Finite Element Methods for Nonlinear Parabolic Problem", Advanced Materials Research, Vol. 267, pp. 504-509, 2011