A priori error estimates of finite volume element method for hyperbolic optimal control problems

被引：0

作者：

XianBing Luo

YanPing Chen

YunQing Huang

机构：

[1] Xiangtan University,School of Mathematics and Computational Science

[2] Guizhou University,School of Science

[3] South China Normal University,School of Mathematical Sciences

来源：

Science China Mathematics | 2013年 / 56卷

关键词：

second order hyperbolic equation; optimal control problems; finite volume element method; distributed control; variational discretization; 65N15; 65N08; 49M05; 35L20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, optimize-then-discretize, variational discretization and the finite volume method are applied to solve the distributed optimal control problems governed by a second order hyperbolic equation. A semi-discrete optimal system is obtained. We prove the existence and uniqueness of the solution to the semidiscrete optimal system and obtain the optimal order error estimates in L∞(J;L2)- and L∞(J;H1)-norm. Numerical experiments are presented to test these theoretical results.

引用

页码：901 / 914

页数：13

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