Error estimates for Neumann boundary control problems with energy regularization
作者： Thomas Apel , Olaf Steinbach , Max Winkler
关键词: Mathematics 、 Regularization perspectives on support vector machines 、 Neumann boundary condition 、 Control variable 、 Von Neumann stability analysis 、 Boundary (topology) 、 Piecewise linear function 、 Mathematical analysis 、 Optimal control 、 Piecewise
摘要: A Neumann boundary control problem for a second order elliptic state equation is considered. The problem is regularized by an energy term which is equivalent to the H–1/2 (Γ)-norm of the control. Both the unconstrained and the control constrained cases are investigated. The regularity of the state, control, and co-state variables is studied with particular focus on the singularities due to the corners of the two-dimensional domain. The state and co-state are approximated by piecewise linear finite elements. For the …
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