Convergence and quasi-optimality of an adaptive finite element method for optimal control problems on \(L^{2}\) errors

DOI10.1007/s10915-017-0425-8zbMath1396.65101OpenAlexW2604969511MaRDI QIDQ1685520

Haitao Leng, Yanping Chen

Publication date: 14 December 2017

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

Full work available at URL: https://doi.org/10.1007/s10915-017-0425-8

zbMATH Keywords

adaptive finite element methodoptimal control problems\(L^2\)-norm error, convergence and quasi-optimality

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)

Related Items (8)

Convergence and quasi-optimality of an adaptive finite element method for semilinear elliptic problems on L² errors ⋮ Convergence of adaptive nonconforming finite element method for Stokes optimal control problems ⋮ Adaptive FEM for Parameter-Errors in Elliptic Linear-Quadratic Parameter Estimation Problems ⋮ Convergence and quasi-optimality of an adaptive finite element method for nonmonotone quasi-linear elliptic problems on \(L^2\) errors ⋮ Mixed finite element method for a second order Dirichlet boundary control problem ⋮ Convergence and quasi-optimality of \(L^2\)-norms based an adaptive finite element method for nonlinear optimal control problems ⋮ An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem ⋮ A posteriori error estimates of \(hp\) spectral element methods for optimal control problems with \(L^2\)-norm state constraint

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