caa a22 4500 378860224 CHVBK 20180305123344.0 cr unu---uuuuu 161128s2003 xx s 000 0 eng 10.2478/cmam-2003-0011 doi (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0011 Applications of Primal-dual Interior Methods in Structural Optimization [Elektronische Daten] We are concerned with structural optimization problems for technological processes in material science that are described by partial differential equations. In particular, we consider the topology optimization of conductive media in high-power electronic devices described by Maxwell equations and the optimal design of composite ceramic materials by homogenization modeling. All these tasks lead to constrained nonconvex minimization problems with both equality and inequality constraints on the state variables and design parameters. After discretization by finite elements, we solve the discretized optimization problems by a primal-dual Newton interior-point method. Within a line-search approach, transforming iterations are applied with respect to the null space decomposition of the condensed primal-dual system to find the search direction. Some numerical experiments for the two applications are presented. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. structural optimization nationallicence nonlinear programming nationallicence primal-dual interiorpoint methods nationallicence eddy current equations nationallicence elasticity equations nationallicence Hoppe Ronald H. W. Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany. Petrova Svetozara I. Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany. Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 159-176 1609-4840 3:1<159 2003 3 cmam https://doi.org/10.2478/cmam-2003-0011 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2478/cmam-2003-0011 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hoppe Ronald H. W. Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany NATIONALLICENCE 700 1- Petrova Svetozara I. Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany NATIONALLICENCE 773 0- Computational Methods in Applied Mathematics De Gruyter 3/1(2003), 159-176 1609-4840 3:1<159 2003 3 cmam CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter