Discretization of optimal control problems governed by \(p\)-Laplacian elliptic equations

DOI10.1155/2019/2852815zbMath1442.49038OpenAlexW2997645121MaRDI QIDQ2294129

Shu Luan

Publication date: 10 February 2020

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/2852815

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Discrete approximations in optimal control (49M25)

Cites Work

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• A remark on the regularity of the solutions of the \(p\)-Laplacian and its application to their finite element approximation
• Discretization of nonlinear elliptic optimal control problems
• Numerical analysis of some optimal control problems governed by a class of quasilinear elliptic equations
• Approximations of Elliptic Optimal Control Problems with Controls Acting on a Lower Dimensional Manifold
• Finite Element Approximation of Dirichlet Boundary Control for Elliptic PDEs on Two- and Three-Dimensional Curved Domains
• Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
• Maximum Principle of Optimal Control for Degenerate Quasi-Linear Elliptic Equations
• A discontinuous interpolated finite volume approximation of semilinear elliptic optimal control problems

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