Applications of Primal-dual Interior Methods in Structural Optimization
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 378860224 | ||
| 003 | CHVBK | ||
| 005 | 20180305123344.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 161128s2003 xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.2478/cmam-2003-0011 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2003-0011 | ||
| 245 | 0 | 0 | |a Applications of Primal-dual Interior Methods in Structural Optimization |h [Elektronische Daten] |
| 520 | 3 | |a 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. | |
| 540 | |a 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. | ||
| 690 | 7 | |a structural optimization |2 nationallicence | |
| 690 | 7 | |a nonlinear programming |2 nationallicence | |
| 690 | 7 | |a primal-dual interiorpoint methods |2 nationallicence | |
| 690 | 7 | |a eddy current equations |2 nationallicence | |
| 690 | 7 | |a elasticity equations |2 nationallicence | |
| 700 | 1 | |a Hoppe |D Ronald H. W. |u Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany. | |
| 700 | 1 | |a Petrova |D Svetozara I. |u Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 159-176 |x 1609-4840 |q 3:1<159 |1 2003 |2 3 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2003-0011 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2003-0011 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Hoppe |D Ronald H. W. |u Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Petrova |D Svetozara I. |u Institute of Mathematics, University of Augsburg, University Str. 14, D-86159 Augsburg, Germany | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 3/1(2003), 159-176 |x 1609-4840 |q 3:1<159 |1 2003 |2 3 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||