BDM MIXED METHODS FOR A NONLINEAR ELLIPTIC PROBLEM

[摘要] A new mixed formulation is introduced to approximate the solution of a nonlinear elliptic problem based on the Brezzi-Douglas-Marini mixed finite elements. The existence and uniqueness of solutions of the mixed formulation and its discretization are demonstrated. Optimal error estimates in L2(OMEGA), L(infinity)(OMEGA) and H(-s)(OMEGA) are derived. Numerical results are presented to compare the present approach with the standard one and to justify the theoretical results obtained here.

[发布日期] 1994-08-19

[关键词] MIXED METHOD;ERROR ESTIMATE;NONLINEAR ELLIPTIC PROBLEM;BDM ELEMENT