Research activities of the workgroup
Prof. Dr. D. Kröner

Numerical Analysis


Further information about research activities can be found on the homepages of the fellow scientists.

Fluid Dynamics

Incompressible Navier-Stokes equations:

Contactangle problems

Compressible Navier-Stokes and Euler equations

Timedependent problems in 2 and 3 space dimensions
Currents with high Reynolds numbers
Optimisation of a two-stroke engine
Coating processes

Compressible flows with chemical reactions

Magnetohydrodynamics and Radiation Hydrodynamics

Flow in porous media

Density driven groundwater flow
Two phase flow in porous media
Transport of contaminants in porous media flow

Fuel cells

Convection-diffusion problems with dominant convection

Elasticity

Arterial flows (together with E.Bänsch, Berlin)

Artificial muscle - ionic polymer gels

Deformation of an Elastic Ring under Pointwise Radial Loads

Analysis & Numerical Analysis

A priori error estimates and convergence

Finite Elemente schemes
Finite Volumen schemes

A posteriori error estimates and adaptivity

Selfadaptive Finite Elemente methods

Qualitative behaviour of solutions of partial differential equations

Numerical Tools/ Software

DUNE: An object oriented package for scientific computing

GFLOW: Toolbox for flow problems in porous media

ALUGrid - Adaptiv, Load-balanced Grid Library

Grid generation and data structures

Adaptive methods

Efficient solvers for Sparse Systems of Linear Equations

Software developement for parallel computing

Parallelization with dynamic load balancing ( MPEG Video, 5818 Kb)

Visualization

Research topics

Visualization of timedependent vector fields with texture transport

GRAPE - Graphics Programming Environment


German Version