Preconditioning of One‐Shot Pseudo‐Timestepping Methods for Shape Optimization
Identifieur interne : 000634 ( Istex/Corpus ); précédent : 000633; suivant : 000635Preconditioning of One‐Shot Pseudo‐Timestepping Methods for Shape Optimization
Auteurs : Ilia Gherman ; Volker SchulzSource :
- PAMM [ 1617-7061 ] ; 2005-12.
Abstract
One‐shot pseudo‐timestepping [1, 2] has proven to be a powerful approach for the solution of optimal design problems in engineering applications. It blends well in within pre‐existing pseudo‐timestepping simulation solvers. The goal of this approach is to transform the equations for the necessary optimality conditions of the optimal design problem into an ordinary differential equation (ODE) and then solve the pseudo‐time embedded state, co‐state and design equations all at once. Similar approaches have been considered in [4, 5]. An application of this method to a real‐world example within the MEGADESIGN‐Project has been presented in [3]. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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DOI: 10.1002/pamm.200510345
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Hazra</name></json:item></author><host><volume>4628</volume><author></author><title>AIAA‐paper</title></host><title>An efficient method for aerodynamic shape optimization</title></json:item><json:item><author><json:item><name>S. B. Hazra</name></json:item><json:item><name>V. Schulz</name></json:item></author><host><volume>44</volume><pages><last>472</last><first>457</first></pages><issue>3</issue><author></author><title>BIT</title></host><title>Simultaneous pseudo‐timestepping for PDE‐model based optimization problems</title></json:item><json:item><host><author></author><title>Aerodynamic shape optimization using simultaneous pseudotimestepping, Forschungsbericht Nr.04‐2, Fachbereich Mathematik, Universitt Trier (2004) (to appear in JCP).</title></host></json:item><json:item><host><author></author><title>Projected Hessians for Preconditioning in One‐Step One‐Shot Design Optimization, Large Scale Nonlinear Optimization (Kluwer Academic Publishers, 2005) (to appear).</title></host></json:item><json:item><host><author></author><title>Pseudo‐Time Method for Optimal Shape Design Using the Euler Equations, NASA CR‐198205 ICASE Report No. 95‐59 (August 1995).</title></host></json:item></refBibs><genre><json:string>article</json:string></genre><host><volume>5</volume><publisherId><json:string>PAMM</json:string></publisherId><pages><total>2</total><last>742</last><first>741</first></pages><issn><json:string>1617-7061</json:string></issn><issue>1</issue><subject><json:item><value>Section 21</value></json:item></subject><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><eissn><json:string>1617-7061</json:string></eissn><title>PAMM</title><doi><json:string>10.1002/(ISSN)1617-7061</json:string></doi></host><publicationDate>2005</publicationDate><copyrightDate>2005</copyrightDate><doi><json:string>10.1002/pamm.200510345</json:string></doi><id>FD47CB051AA902004CFF568C85F2597A4EBA8B84</id><score>2.1686592</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/document/FD47CB051AA902004CFF568C85F2597A4EBA8B84/fulltext/pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/document/FD47CB051AA902004CFF568C85F2597A4EBA8B84/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/FD47CB051AA902004CFF568C85F2597A4EBA8B84/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Preconditioning of One‐Shot Pseudo‐Timestepping Methods for Shape Optimization</title></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>WILEY‐VCH Verlag</publisher><pubPlace>Berlin</pubPlace><availability><p>Copyright © 2005 WILEY‐VCH Verlag GmbH & Co. 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