Probst, M. ; Lülfesmann, M. ; Nicolai, M. ; Bücker, H. M. ; Behr, M. ; Bischof, Christian
Hrsg.: Leugering, G. ; Engell, S. ; Griewank, A. ; Hinze, M. ; Rannacher, R. ; Schulz, V. ; Ulbrich, M. ; Ulbrich, S. (2012)
On the Influence of Constitutive Models on Shape Optimization for Artificial Blood Pumps.
In: Constrained Optimization and Optimal Control for Partial Differential Equations
Buchkapitel, Bibliographie
Kurzbeschreibung (Abstract)
We report on a shape optimization framework that couples a highly-parallel finite element solver with a geometric kernel and different optimization algorithms. The entire optimization framework is transformed with automatic differentiation techniques, and the derivative code is employed to compute derivatives of the optimal shapes with respect to viscosity. This methodology provides a powerful tool to investigate the necessity of intricate constitutive models by taking derivatives with respect to model parameters.
| Typ des Eintrags: | Buchkapitel |
|---|---|
| Erschienen: | 2012 |
| Herausgeber: | Leugering, G. ; Engell, S. ; Griewank, A. ; Hinze, M. ; Rannacher, R. ; Schulz, V. ; Ulbrich, M. ; Ulbrich, S. |
| Autor(en): | Probst, M. ; Lülfesmann, M. ; Nicolai, M. ; Bücker, H. M. ; Behr, M. ; Bischof, Christian |
| Art des Eintrags: | Bibliographie |
| Titel: | On the Influence of Constitutive Models on Shape Optimization for Artificial Blood Pumps |
| Sprache: | Englisch |
| Publikationsjahr: | 2012 |
| Ort: | Basel |
| Verlag: | Birkhäuser |
| (Heft-)Nummer: | 160 |
| Buchtitel: | Constrained Optimization and Optimal Control for Partial Differential Equations |
| Reihe: | International Series of Numerical Mathematics |
| Kurzbeschreibung (Abstract): | We report on a shape optimization framework that couples a highly-parallel finite element solver with a geometric kernel and different optimization algorithms. The entire optimization framework is transformed with automatic differentiation techniques, and the derivative code is employed to compute derivatives of the optimal shapes with respect to viscosity. This methodology provides a powerful tool to investigate the necessity of intricate constitutive models by taking derivatives with respect to model parameters. |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Scientific Computing |
| Hinterlegungsdatum: | 10 Jul 2012 12:00 |
| Letzte Änderung: | 07 Jan 2021 09:50 |
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