一类非线性双曲-抛物耦合问题的A.D.I.Galerkin方法  

A. D. I. GALERKIN METHOD FOR SOME NONLINEAR COUPLED PROBLEMS OF HYPERBOLIC AND PARABOLIC EQUATIONS

作　　者：崔霞[1] 

机构地区：[1]北京应用物理与计算数学研究所计算物理实验室,北京100088

出　　处：《高等学校计算数学学报》2001年第3期237-246,共10页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家教委博士点基金资助项目

摘　　要：Some nonlinear coupled problems of hyperbolic and parabolic equations are considered, the finite element scheme and A. D. I. finite element scheme are studied. The existence and uniqueness of the approximational schemes are obtained, together with the optimal H 1-norm and L 2-norm convergence results.Some nonlinear coupled problems of hyperbolic and parabolic equations are considered, the finite element scheme and A. D. I. finite element scheme are studied. The existence and uniqueness of the approximational schemes are obtained, together with the optimal H 1-norm and L 2-norm convergence results.

关 键 词：非线性 双曲-抛物耦合问题 GALERKIN方法 初边值问题 有限元 数值分析 

分 类 号：O241.82[理学—计算数学]