摘要
In this paper, we study the mixed element method for Sobolev equations. A time-discretization procedure is presented and analysed and the optimal order error estimates are derived.For convenience in practical computation, an alternating-direction iterative scheme of the mixed fi-nite element method is formulated and its stability and converbence are proved for the linear prob-lem. A numerical example is provided at the end of this paper.
In this paper, we study the mixed finite element method for Sobolev equations. A time-discretization procedure is presented and analysed and the optimal order error estimates are derived. For convenience in practical computation, an alternating-direction iterative scheme of the mixed finite element method is formulated and its stability and convergence are proved for the linear problem. A numerical example is provided at the end of this paper.
基金
the National Natural Science Foundation of China and China State Key Project for Basic Researches
