Approximation of Sparse Controls in Semilinear Elliptic Equations

DOI10.1007/978-3-642-29843-1_2zbMath1310.49004OpenAlexW2176429778MaRDI QIDQ2896398

Gerd Wachsmuth, Eduardo Casas, Roland Griesse

Publication date: 16 July 2012

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-29843-1_2

zbMATH Keywords

finite element discretizationsemilinear equationsa priori error estimatessparse controlsoptimal control of partial differential equationsnon-differentiable objective

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Discrete approximations in optimal control (49M25)

Related Items (4)

CLOT norm minimization for continuous hands-off control ⋮ AONN: An Adjoint-Oriented Neural Network Method for All-At-Once Solutions of Parametric Optimal Control Problems ⋮ An a posteriori error analysis of an elliptic optimal control problem in measure space ⋮ A review on sparse solutions in optimal control of partial differential equations

Uses Software

• CGAL
• DOLFIN
• FEniCS

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