Least-Squares Finite Element Methods for Optimality Systems Arising in Optimization and Control Problems

DOI10.1137/040607848zbMath1112.65062OpenAlexW2087987788MaRDI QIDQ5470935

Max D. Gunzburger, Pavel B. Bochev

Publication date: 2 June 2006

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/040607848

zbMATH Keywords

Lagrange multipliersHilbert spacesStokes equationsquadratic optimal control

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

Pressure-Robustness in the Context of Optimal Control ⋮ Uzawa algorithms for coupled Stokes equations from the optimal control problem ⋮ Finite element preconditioning on spectral element discretizations for coupled elliptic equations ⋮ Least-squares finite elements for distributed optimal control problems ⋮ Superconvergence of least-squares methods for a coupled system of elliptic equations ⋮ Some error estimates of finite volume element method for parabolic optimal control problems ⋮ A least-squares/penalty method for distributed optimal control problems for Stokes equations ⋮ Analysis of a hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

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