论文标题
第二阶的混合有限元方法DIRICHLET边界控制问题
Mixed finite element method for a second order Dirichlet boundary control problem
论文作者
论文摘要
本文的主要目的是分析二阶Dirichlet边界控制问题的混合有限元方法。在其中，我们使用基于能量空间的方法进行了先验和后验错误分析。在辅助问题的帮助下，我们获得了能量规范的最佳订单和$ l^2 $ norm的先验错误估计。使用Helmholtz分解讨论了提议的后验误差估计器的可靠性和效率。提出了数值实验以确认理论发现。
The main aim of this article is to analyze mixed finite element method for the second order Dirichlet boundary control problem. Therein, we develop both a priori and a posteriori error analysis using the energy space based approach. We obtain optimal order a priori error estimates in the energy norm and $L^2$-norm with the help of auxiliary problems. The reliability and the efficiency of proposed a posteriori error estimator is discussed using the Helmholtz decomposition. Numerical experiments are presented to confirm the theoretical findings.
