A Posteriori Error Estimation in PDE-constrained Optimization with Pointwise Inequality Constraints
作者： Rolf Rannacher , Boris Vexler , Winnifried Wollner
DOI: 10.1007/978-3-0348-0133-1_19
关键词: Pointwise 、 Optimization problem 、 Inequality 、 State variable 、 Constrained optimization 、 A priori and a posteriori 、 Regularization (mathematics) 、 Mathematical optimization 、 Computer science 、 Discretization error
摘要: This article summarizes several recent results on goal-oriented error estimation and mesh adaptation for the solution of elliptic PDE-constrained optimization problems with additional inequality constraints. The first part is devoted to control constrained case. Then some emphasis given pointwise constraints state variable its gradient. In last regularization techniques are considered question addressed, how parameter can adaptively be linked discretization error.
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