Finite element approximation to optimal Dirichlet boundary control problem: a priori and a posteriori error estimates

DOI10.1016/j.camwa.2022.11.022OpenAlexW4310723539MaRDI QIDQ2679365

Xiaoxia He, Shaohong Du

Publication date: 19 January 2023

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2022.11.022

zbMATH Keywords

reliability and efficiencyDirichlet boundary control problema priori and a posteriori error analysisfourth order formulation for adjoint state

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25)

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