2005•Lecture notes in pure and applied mathematicsRequires access
Second Order Lagrange Multiplier Approximation for Constrained Shape Optimization Problems
Karsten Eppler, Helmut Harbrecht
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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 dual variables.This goal is realized by combining a Newton scheme for the primal variables with Mårtensson's concept of Lagrange multiplier functions for augmented Lagrangians.