Optimal Control of Partial Differential Equations

DOI10.1007/978-3-030-77226-0zbMath1483.49001OpenAlexW4206565284MaRDI QIDQ5003191

Sandro Salsa, Andrea Manzoni, Alfio M. Quarteroni

Publication date: 20 July 2021

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

Full work available at URL: https://doi.org/10.1007/978-3-030-77226-0

zbMATH Keywords

optimality conditionsoptimal control problemsnonlinear optimal control problemsquadratic cost functionalsshape optimization problemsalgebraic optimal control problemsalgorithms for numerical approximationcontrol problems governed by ODEs or PDEsunconstrained (free) or constrained optimization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Quadratic programming (90C20) Optimal feedback synthesis (49N35) Linear-quadratic optimal control problems (49N10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to fluid mechanics (76-01) Optimization of shapes other than minimal surfaces (49Q10) Existence theories for optimal control problems involving partial differential equations (49J20) Variational principles of physics (49S05) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

Related Items (3)

An unfitted HDG method for a distributed optimal control problem ⋮ Maximum load potential of hinged plates with non-homogeneous thickness ⋮ Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics

Uses Software

• FreeFem++
• HSL_MI20
• MATLAB ODE suite

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