Galerkin spectral methods for an elliptic optimal control problem with \(L^2\)-norm state constraint

DOI10.4310/CMS.2021.v19.n5.a4zbMath1475.65044OpenAlexW3179656672MaRDI QIDQ2057091

Xiuxiu Lin, Yanping Chen, Yunqing Huang

Publication date: 8 December 2021

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

Full work available at URL: https://doi.org/10.4310/cms.2021.v19.n5.a4

zbMATH Keywords

optimal control problems\textit{a priori} error estimates\textit{a posteriori} error estimates\(L^2\)-norm state constraintGalerkin spectral methods

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Existence theories for optimal control problems involving partial differential equations (49J20) PDE constrained optimization (numerical aspects) (49M41)

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