关于一类二阶非线性双曲型方程全离散有限元方法的稳定性和收敛性估计  

ON THE ESTIMATION OF STABILITY AND CONVERGENCE OF THE FULL-DISCRETE FINITE ELEMENT METHOD FOR A CLASS OF SECOND ORDER NONLINEAR HYPERBOLIC EQUATIONS

作　　者：刘小华[1] 

机构地区：[1]西南石油学院计算机科学系,南充637001

出　　处：《高等学校计算数学学报》2002年第1期15-22,共8页Numerical Mathematics A Journal of Chinese Universities

基　　金：国家自然科学基金;国家教育部博士点基金资助课题

摘　　要：Stability and error estimates are established for the finite element method to solve a class of second order hyperbolic equations.Meanwhile,optimal rates of convergence in H 1 and L 2 norm are obtained.Stability and error estimates are established for the finite element method to solve a class of second order hyperbolic equations.Meanwhile,optimal rates of convergence in H 1 and L 2 norm are obtained.

关 键 词：二阶 非线性 双曲型方程 离散 有限元方法 稳定性 收敛性 

分 类 号：O241.82[理学—计算数学]