Displaying similar documents to “A new approach for simultaneous shape and topology optimization based on dynamic implicit surface function”

Shape optimization for Stokes problem with threshold slip

Jaroslav Haslinger, Jan Stebel, Taoufik Sassi (2014)

Applications of Mathematics

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We study the Stokes problems in a bounded planar domain Ω with a friction type boundary condition that switches between a slip and no-slip stage. Our main goal is to determine under which conditions concerning the smoothness of Ω solutions to the Stokes system with the slip boundary conditions depend continuously on variations of Ω . Having this result at our disposal, we easily prove the existence of a solution to optimal shape design problems for a large class of cost functionals. In...

On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities

Martin Lanzendörfer, Jan Stebel (2011)

Applications of Mathematics

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We consider a class of incompressible fluids whose viscosities depend on the pressure and the shear rate. Suitable boundary conditions on the traction at the inflow/outflow part of boundary are given. As an advantage of this, the mean value of the pressure over the domain is no more a free parameter which would have to be prescribed otherwise. We prove the existence and uniqueness of weak solutions (the latter for small data) and discuss particular applications of the results. ...

Variational approach to shape derivatives

Kazufumi Ito, Karl Kunisch, Gunther H. Peichl (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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A general framework for calculating shape derivatives for optimization problems with partial differential equations as constraints is presented. The proposed technique allows to obtain the shape derivative of the cost without the necessity to involve the shape derivative of the state variable. In fact, the state variable is only required to be Lipschitz continuous with respect to the geometry perturbations. Applications to inverse interface problems, and shape optimization for elliptic...