非线性双曲型方程的混合元方法  

MIXED FINITE ELEMENT METHOD FOR NONLINEAR HYPERBOLIC EQUATIONS

作　　者：陈艳萍[1,2] 黄云清[3] 

机构地区：[1]南京大学数学系 [2]湘潭大学计算与应用数学研究所,湘潭411105 [3]湘潭大学计算与应用数学研究所

出　　处：《高等学校计算数学学报》2000年第1期63-69,共7页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家大规模科学与工程计算攀登项目资助

摘　　要：This paper treats the mixed finite element methods for second order nonlinear hyperbolic equations. Existence and uniqueness of the solution of the discrete problem are proved. A priori error estimates for optimal order L ∞ in space are derived for both displacement and stress. Results are given for the continuous time case.This paper treats the mixed finite element methods for second order nonlinear hyperbolic equations. Existence and uniqueness of the solution of the discrete problem are proved. A priori error estimates for optimal order L ∞ in space are derived for both displacement and stress. Results are given for the continuous time case.

关 键 词：非线性双曲型方程 混合元 混合有限元格式 

分 类 号：O241.82[理学—计算数学]