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arXiv · 2207.10139

Mixed finite element method for a second order Dirichlet boundary control problem

Divay Garg·Kamana Porwal
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Abstract

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.

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Divay Garg, Kamana Porwal. 2022-07-20. Mixed finite element method for a second order Dirichlet boundary control problem. https://arxiv.org/abs/2207.10139

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