Mixed finite element method for a second order Dirichlet boundary control problem
Numerical Analysis
2022-07-22 v1 Numerical Analysis
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 -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.
Cite
@article{arxiv.2207.10139,
title = {Mixed finite element method for a second order Dirichlet boundary control problem},
author = {Divay Garg and Kamana Porwal},
journal= {arXiv preprint arXiv:2207.10139},
year = {2022}
}