Analysis of shape optimization problems for unsteady fluid-structure interaction
From MaRDI portal
Publication:5220296
DOI10.1088/1361-6420/ab5a11zbMath1440.49044OpenAlexW2990359503MaRDI QIDQ5220296
Johannes Haubner, Michael Ulbrich, Stefan Ulbrich
Publication date: 16 March 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/ab5a11
Fréchet differentiabilityNavier-Stokes equationsshape optimizationfluid-structure interactionshape identificationLamé systemmethod of mappings
Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Optimization of shapes other than minimal surfaces (49Q10)
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Cites Work
- Unnamed Item
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- A fluid-structure model coupling the Navier-Stokes equations and the Lamé system
- Shape optimization of pulsatile ventricular assist devices using FSI to minimize thrombotic risk
- Moreau-Yosida regularization in shape optimization with geometric constraints
- Solution of parabolic pseudo-differential initial-boundary value problems
- Solutions to a fluid-structure interaction free boundary problem
- The interaction between quasilinear elastodynamics and the Navier-Stokes equations
- Representation and control of infinite dimensional systems
- Computation of high order derivatives in optimal shape design
- Adjoint shape optimization for fluid-structure interaction of ducted flows
- Motion of an elastic solid inside an incompressible viscous fluid
- Analysis of a linear fluid-structure interaction problem
- A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
- Existence of strong solutions for the motion of an elastic structure in an incompressible viscous fluid
- On the differentiability of fluid-structure interaction problems with respect to the problem data
- Geometric and transformational properties of Lipschitz domains, Semmes-Kenig-Toro domains, and other classes of finite perimeter domains
- Sensitivity and approximation of coupled fluid-structure equations by virtual control method
- Preconditioning Landweber iteration in Hilbert scales
- Traces of anisotropic Besov--Lizorkin--Triebel spaces---a complete treatment of the borderline cases
- Small data global existence for a fluid-structure model
- Shapes and Geometries
- Fluid-Structure Interaction in the Context of Shape Optimization and Computational Wind Engineering
- Smoothness of weak solutions to a nonlinear fluid-structure interaction model
- Analytical and numerical methods in shape optimization
- Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces
- Differentiation with Respect to the Domain in Boundary Value Problems
- Boundary value problems for the nonstationary Navier-Stokes equations treated by pseudo-differential methods.
- The Differentiability of the Drag with Respect to the Variations of a Lipschitz Domain in a Navier--Stokes Flow
- Some Newton-type methods for the regularization of nonlinear ill-posed problems
- Fréchet Differentiability of Unsteady Incompressible Navier--Stokes Flow with Respect to Domain Variations of Low Regularity by Using a General Analytical Framework
- On the regularity of the composition of diffeomorphisms
- A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid–structure interaction problem
- INTERPOLATION OF HILBERT AND SOBOLEV SPACES: QUANTITATIVE ESTIMATES AND COUNTEREXAMPLES
- Intermediate spaces and interpolation, the complex method
