Author(s) :
Christian Meyer
,
Fredi Tröltzsch
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 39-2004
MSC 2000
- 49K20 Problems involving partial differential equations
-
49M15 Methods of Newton-Raphson, Galerkin and Ritz types
Abstract :
A nonlinear elliptic control problem with pointwise control-state constraints is considered. Existence of regular Lagrange multipliers, first-order necessary and and second-order sufficient optimality conditions are derived. The theory is verified by numerical examples.
Keywords :
Semilinear elliptic equation, pointwise state-constraints, necessary conditions, sufficient conditions, SQP method