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.

引用

页码：23 / 39

页数：16

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