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\(P_1\) finite element methods for an elliptic optimal control problem with pointwise state constraints. (English) Zbl 1464.65061

Summary: We present theoretical and numerical results for two \(P_1\) finite element methods for an elliptic distributed optimal control problem on general polygonal/polyhedral domains with pointwise state constraints.

MSC:

65K10 Numerical optimization and variational techniques
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
49M41 PDE constrained optimization (numerical aspects)
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