带有对流项的拟线性Sobolev方程的差分-流线扩散法  

FINITE DIFFERENCE-STREAMLINE DIFFUSION METHOD FOR QUASI-LINEAR SOBOLEV EQUATIONS

作　　者：孙同军[1] 马克颖[1] 

机构地区：[1]山东大学数学学院科学计算与软件研究所,济南250100

出　　处：《高等学校计算数学学报》2001年第4期340-356,共17页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金 (19972 0 3 9和 10 0 710 4 4)

摘　　要：In this paper, we give a finite difference streamline diffusion (FDSD) scheme for solving quasi-linear Sobolev equations. We prove the solvability of the given scheme and derive a quasi-optimal error estimate in L ∞(L 2)-norm, which has 1-order accuracy in time direction and quasi-optimal order in space variables.In this paper, we give a finite difference streamline diffusion (FDSD) scheme for solving quasi-linear Sobolev equations. We prove the solvability of the given scheme and derive a quasi-optimal error estimate in L ∞(L 2)-norm, which has 1-order accuracy in time direction and quasi-optimal order in space variables.

关 键 词：对流项 拟线性Sobolev方程 差分-流线扩散法 数值方法 有限元 

分 类 号：O241.82[理学—计算数学]