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

DOI10.1007/978-3-0348-0133-1_32zbMath1356.49075OpenAlexW1892552562MaRDI QIDQ2961091

M. Nicolai, Christian H. Bischof, H. Martin Bücker, M. Lülfesmann, Marek Behr, Markus Probst

Publication date: 17 February 2017

Published in: International Series of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0133-1_32

zbMATH Keywords

sensitivity analysisautomatic differentiationshape optimizationconstitutive models

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Medical applications (general) (92C50) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible viscous fluids (76D55)

Cites Work

• Sensitivity of optimal shapes of artificial grafts with respect to flow parameters
• An SQP method for general nonlinear programs using only equality constrained subproblems
• A new technique for inconsistent QP problems in the SQP method
• Finite element solution strategies for large-scale flow simulations
• Numerical modelling of shear‐thinning non‐Newtonian flows in compliant vessels
• Parametric sensitivities for optimal control problems using automatic differentiation

This page was built for publication: On the Influence of Constitutive Models on Shape Optimization for Artificial Blood Pumps