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

- incollection -
 

Area
Biomedicine, Shape optimization

Author(s)
M. Probst , M. Lülfesmann , M. Nicolai , H. M. Bücker , M. Behr , C. H. Bischof

Published in
Constrained Optimization and Optimal Control for Partial Differential Equations

Editor(s)
G. Leugering, S. Engell, A. Griewank, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich, S. Ulbrich

Year
2012

Publisher
Birkhäuser

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.

AD Tools
ADIFOR, TAPENADE

BibTeX
@INCOLLECTION{
         Probst2012OtI,
       author = "M. Probst and M. L{\"u}lfesmann and M. Nicolai and H. M.
         B{\"u}cker and M. Behr and C. H. Bischof",
       title = "On the Influence of Constitutive Models on Shape Optimization for Artificial Blood
         Pumps",
       pages = "611--622",
       doi = "10.1007/978-3-0348-0133-1_32",
       booktitle = "Constrained Optimization and Optimal Control for Partial Differential Equations",
       isbn = "978-3-0348-0132-4",
       address = "Basel",
       publisher = "Birkh{\"a}user",
       editor = "G. Leugering and S. Engell and A. Griewank and M. Hinze and R. Rannacher and V.
         Schulz and M. Ulbrich and S. Ulbrich",
       series = "International Series of Numerical Mathematics",
       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.",
       year = "2012",
       number = "160",
       ad_area = "Biomedicine, Shape optimization",
       ad_tools = "ADIFOR, TAPENADE"
}


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