Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space

Abstract:

The finite element approximation of optimal control problems for semilinear elliptic partial differential equation is considered, where the control belongs to a finite-dimensional set and state constraints are given in finitely many points of the domain. Under the standard linear independency condition on the active gradients and a strong second-order sufficient optimality condition, optimal error estimates are derived for locally optimal controls. © EDP Sciences, SMAI 2009.

Año de publicación:

2010

Keywords:

• Finite element approximation
• Optimal control problem
• Finitely many pointwise state constraints

Fuente:

scopus

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