On the application of mixed finite element method for a strongly nonlinear second-order hyperbolic equation

被引：0
|
作者：
Ziwen Jiang [1 ]
Huanzhen Chen [1 ]
机构：
[1] Shandong Normal University,Department of Mathematics
来源：
Korean Journal of Computational & Applied Mathematics | 1998年 / 5卷 / 1期
关键词：
65M12; 65M15; Mixed finite element; second-order hyperbolic equation; strongly nonlinear;
D O I：
10.1007/BF03008933
中图分类号：
学科分类号：
摘要：
Mixed finite element method is developed to approximate the solution of the initial-boundary value problem for a strongly nonlinear second-order hyperbolic equation in divergence form. Existence and uniqueness of the approximation are proved, and optimal-orderL∞-in-time,L2-in-space a priori error estimates are derived for both the scalar and vector functions approximated by the method.
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收藏
页码：23 / 39
页数：16
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