A finite element method for Dirichlet boundary control of elliptic partial differential equations

DOI10.4310/CMS.2022.v20.n4.a6zbMath1486.49032OpenAlexW2937397221WikidataQ114020857 ScholiaQ114020857MaRDI QIDQ2129677

Shaohong Du, Zhi-qiang Cai

Publication date: 22 April 2022

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/cms.2022.v20.n4.a6

zbMATH Keywords

finite element method\textit{a priori} error estimatesDirichlet boundary control problemnew variational formulation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates, Adaptive finite element method for Dirichlet boundary control of elliptic partial differential equations