A new finite element method for elliptic optimal control problems with pointwise state constraints in energy spaces

DOI10.1007/s10915-024-02747-3MaRDI QIDQ6655881

Zhiyu Tan, Wei Gong

Publication date: 27 December 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

boundary controlvariational inequalitiesfinite element methoddistributed controlpointwise state constraintsoptimal control problemsenergy space method

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)

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