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On the Influence of Constitutive Models on Shape Optimization for Artificial Blood Pumps

Probst, M. and Lülfesmann, M. and Nicolai, M. and Bücker, H. M. and Behr, M. and Bischof, C. H.
Leugering, G. and Engell, S. and Griewank, A. and Hinze, M. and Rannacher, R. and Schulz, V. and Ulbrich, M. and Ulbrich, S. (eds.) (2012):
On the Influence of Constitutive Models on Shape Optimization for Artificial Blood Pumps.
In: Constrained Optimization and Optimal Control for Partial Differential Equations, Basel, Birkhäuser, pp. 611-622, [Book Section]

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.

Item Type: Book Section
Erschienen: 2012
Editors: Leugering, G. and Engell, S. and Griewank, A. and Hinze, M. and Rannacher, R. and Schulz, V. and Ulbrich, M. and Ulbrich, S.
Creators: Probst, M. and Lülfesmann, M. and Nicolai, M. and Bücker, H. M. and Behr, M. and Bischof, C. H.
Title: On the Influence of Constitutive Models on Shape Optimization for Artificial Blood Pumps
Language: English
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.

Title of Book: Constrained Optimization and Optimal Control for Partial Differential Equations
Series Name: International Series of Numerical Mathematics
Number: 160
Place of Publication: Basel
Publisher: Birkhäuser
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Scientific Computing
Date Deposited: 10 Jul 2012 12:00
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