Preprint 35-2003

Second order Lagrange multiplier approximation for constrained shape optimization problems

Author(s) : Karsten Eppler , Helmut Harbrecht

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 35-2003

MSC 2000

49Q10 Optimization of shapes other than minimal surfaces

65N38 Boundary element methods

90C90 Applications of mathematical programming

Abstract :
The present paper is dedicated to the solution of constrained shape optimization problems by second order algorithms with respect to both, the primal and {\em dual} variables. This goal is realized by combining a Newton scheme for the primal variables with M\aa{}rtensson's concept of Lagrange multiplier functions for augmented Lagrangians.

Keywords : Shape optimization, boundary element method, multiscale methods, augmented Lagrangian approach, Newton method, M\aa{}rtensson's approach