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Computation of generalized solution spaces
Third-party funded project
Project title Computation of generalized solution spaces
Principal Investigator(s) Harbrecht, Helmut
Project Members Tröndle, Dennis Thassilo
Organisation / Research unit Departement Mathematik und Informatik / Computational Mathematics (Harbrecht)
Project start 01.04.2015
Probable end 31.03.2018
Status Completed
Abstract

This project is concerned with the computation of generalized solution spaces for arbitrary nonlinear, high-dimensional and noisy problems. The sought solution space should be of maximal volume and should contain only designs whose cost are below a given threshold. The solution space can thus be used to assess robustness or to identify relevant parameters for the improvement of an insufficient design.

Keywords solution space, high dimensions, noisy system, uncertainty
Financed by Private Sector / Industry

Published results ()

  ID Autor(en) Titel ISSN / ISBN Erschienen in Art der Publikation
3643732  Graff, Lavinia; Harbrecht, Helmut; Zimmermann, Markus  On the computation of solution spaces in high dimensions  1615-1488 ; 1615-147X  Structural and Multidisciplinary Optimization  Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) 
2168455  Graff, Lavinia  A stochastic algorithm for the identification of solution spaces in high-dimensional design spaces      Publication: Thesis (Dissertationen, Habilitationen) 
2397417  Fender, Johannes; Graff, L.; Harbrecht, H.; Zimmermann, Markus  Identifying key parameters for design improvement in high-dimensional systems with uncertainty  1050-0472  Journal of mechanical design  Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) 
4491678  Vogt, Marc Eric; Duddeck, Fabian; Harbrecht, Helmut; Stutz, Florian; Wahle, Martin; Zimmermann, Markus  Computing solution-compensation spaces using an enhanced Fourier-Motzkin algorithm  1617-7061  Proceedings in applied mathematics and mechanics  Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) 
4509277  Harbrecht, Helmut; Tröndle, Dennis; Zimmermann, Markus  A sampling-based optimization algorithm for solution spaces with pair-wise-coupled design variables  1615-147X ; 1615-1488  Structural and multidisciplinary optimization  Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) 
4641681  Tröndle, Dennis  Computation of generalized solution spaces      Publication: Thesis (Dissertationen, Habilitationen) 
4626755  Harbrecht, Helmut; Tröndle, Dennis; Zimmermann, Markus  Approximating solution spaces as a product of polygons  1615-147X  Structural and multidisciplinary optimization  Publication: JournalArticle (Originalarbeit in einer wissenschaftlichen Zeitschrift) 
   

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23/04/2024