Sensitivity of optimal shapes of artificial grafts with respect to flow parameters
From MaRDI portal
Publication:649204
DOI10.1016/j.cma.2009.11.013zbMath1227.76018OpenAlexW1965420796MaRDI QIDQ649204
M. Nicolai, M. Lülfesmann, H. Martin Bücker, Markus Probst, Christian H. Bischof, Marek Behr
Publication date: 30 November 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2009.11.013
sensitivity analysisautomatic differentiationblood flowNURBS parametrizationPDE-constrained shape optimizationsensitivity of optimal shapes
Navier-Stokes equations for incompressible viscous fluids (76D05) Flow control and optimization for incompressible viscous fluids (76D55)
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Cites Work
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- Review of formulations for structural and mechanical system optimization
- A computational framework for derivative-free optimization of cardiovascular geometries
- Aerodynamic design via control theory
- Automatic differentiation: techniques and applications
- An SQP method for general nonlinear programs using only equality constrained subproblems
- A new technique for inconsistent QP problems in the SQP method
- Recent progress in unconstrained nonlinear optimization without derivatives
- A taxonomy of global optimization methods based on response surfaces
- Finite element solution strategies for large-scale flow simulations
- Mesh update strategies in parallel finite element computations of flow problems with moving boundaries and interfaces
- POD and CVT-based reduced-order modeling of Navier-Stokes flows
- Reduced Basis Method for Optimal Control of Unsteady Viscous Flows
- On the Convergence of Pattern Search Algorithms
- Evaluating Derivatives
- Numerical solution of parametrized Navier–Stokes equations by reduced basis methods
- Structure of the set of stationary solutions of the navier‐stokes equations
- Algorithm 799: revolve
- Trust Region Methods
- Flows in Stenotic Vessels
- On optimization, control and shape design of an arterial bypass
- Introduction to Shape Optimization
- Numerical modelling of shear‐thinning non‐Newtonian flows in compliant vessels
- Parametric sensitivities for optimal control problems using automatic differentiation
- An introduction to the adjoint approach to design
