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Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. (English) Zbl 1191.49036

MSC:
49M25 Discrete approximations in optimal control
49M37 Numerical methods based on nonlinear programming
65K05 Numerical mathematical programming methods
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
49N60 Regularity of solutions in optimal control
35J25 Boundary value problems for second-order elliptic equations
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