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- Thomas Franke, Ronald H. W. Hoppe, Christopher Linsenmann, Lothar Schmid, Carina Willbold, Achim Wixforth
- Computat. and Visualiz. in Science
- 2011

We study the mathematical modeling and numerical simulation of the motion of red blood cells (RBC) and vesicles subject to an external incompressible flow in a microchannel. RBC and vesicles are… (More)

Path-following primal-dual interior-point methods for shape optimization of stationary flow problems

- Harbir Antil, Ronald H. W. Hoppe, Christopher Linsenmann
- J. Num. Math.
- 2007

We consider shape optimization of Stokes flow in channels where the objective is to design the lateral walls of the channel in such a way that a desired velocity profile is achieved. This amounts to… (More)

We are concerned with structural optimization problems in CFD where the state variables are supposed to satisfy a linear or nonlinear Stokes system and the design variables are subject to bilateral… (More)

We consider the numerical solution of structural optimization problems in CFD where the state variables are supposed to satisfy a linear or nonlinear Stokes system and the design variables are… (More)

We are concerned with structural optimization problems where the state variables are supposed to satisfy a PDE or a system of PDEs and the design variables are subject to inequality constraints.… (More)

- Ronald H. W. Hoppe, Christopher Linsenmann
- J. Comput. Physics
- 2012

The immersed boundary method (IB) is known as a powerful technique for the numerical solution of fluid-structure interaction problems as, for instance, the motion and deformation of viscoelastic… (More)

- Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Christopher Linsenmann, Achim Wixforth
- Mathematics and Computers in Simulation
- 2012

AbstractBiochips are physically and/or electronically controllable miniaturized labs. They are used for combinatorial chemical and biological analysis in environmental and medical studies. The… (More)

We will be concerned with the mathematical modeling, numerical simulation, and shape optimization of micro∞uidic biochips that are used for various biomedical applications. A particular feature is… (More)

We consider the numerical solution of optimization problems for systems of partial differential equations with constraints on the state and design variables as they arise in the optimal design of the… (More)

We consider the mathematical modeling and numerical simulation of high throughput sorting of two different types of biological cells (type I and type II) by a biomedical micro-electro-mechanical… (More)