Work

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

Year: 2022

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2207.10139

Authors: Garg, Divay, Porwal, Kamana

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: Department of Science and Technology, Ministry of Science and Technology, India

OpenAlex ID: W4286750837

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