Solution of the Optimal Control Problem for the Cahn-Hilliard Equation Using Finite Difference Approximation

Solution of the Optimal Control Problem for the Cahn-Hilliard Equation Using Finite Difference Approximation

This paper is concerned with the designing, analyzing and implementing linear and nonlinear discretization scheme for the distributed optimal control problem (OCP) with the Cahn-Hilliard (CH) equation as constrained. We propose three difference schemes to approximate and investigate the solution beh...

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Hauptverfasser: Garai, Gobinda, Mandal, Bankim C
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Computer Science - Numerical Analysis
Mathematics - Numerical Analysis
Mathematics - Optimization and Control
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description This paper is concerned with the designing, analyzing and implementing linear and nonlinear discretization scheme for the distributed optimal control problem (OCP) with the Cahn-Hilliard (CH) equation as constrained. We propose three difference schemes to approximate and investigate the solution behaviour of the OCP for the CH equation. We present the convergence analysis of the proposed discretization. We verify our findings by presenting numerical experiments.
doi_str_mv 10.48550/arxiv.2307.09016
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Mathematics - Optimization and Control
title Solution of the Optimal Control Problem for the Cahn-Hilliard Equation Using Finite Difference Approximation
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