一类具有吸收边界条件的二阶非线性双曲方程的混合元法分析  

ANALYSIS OF MIXED FINITE ELEMENT METHOD FOR A KIND OF SECOND-ORDER NONLINEAR HYPERBOLIC EQUATIONS WITH ABSORBING BOUNDARY CONDITIONS

作　　者：杜宁[1] 

机构地区：[1]山东大学数学与系统科学学院,济南250100

出　　处：《高等学校计算数学学报》2001年第3期202-213,共12页Numerical Mathematics A Journal of Chinese Universities

摘　　要：Mixed finite element method is used to treat a kind of second-order nonlinear hyperbolic equations with absorbing boundary conditions. explicit-in-time procedures are formulated and analyzed. Optimal L 2-in-space error estimates are derived.Mixed finite element method is used to treat a kind of second-order nonlinear hyperbolic equations with absorbing boundary conditions. explicit-in-time procedures are formulated and analyzed. Optimal L 2-in-space error estimates are derived.

关 键 词：混合有限元法 二阶双曲型方程 收敛性 吸收边界 非线性 L^2误差估计 

分 类 号：O241.82[理学—计算数学]