|Project title:||Numerical methods for discontinuities in continuum mechanics|
|Research field:||Extended finite element method (XFEM)|
The extended finite element method (XFEM) is a numerical method for the approximation of solutions that involve jumps, kinks, singularities, or general high gradients in some parts of the domain. Typical applications are found in the simulation of cracks, shear bands, dislocations, multi-phase problems, two-fluid flows and fluid-structure interaction. In these cases, the classical finite element method (FEM) relies on carefully constructed and maintained meshes. In the XFEM, however, jumps and kinks within elements can be considered with optimal accuracy and mesh manipulations are thus avoided. This is achieved by enriching the approximation space of the classical FEM. Recently, the XFEM has gained an enormous attention in research and industry and has been realized in commercial software packages.
Method-oriented research topics:
Application-oriented research topics:
General information on the XFEM is found here.
Please see the section Members for further information.
Chair for Computional Analysis of Technical Systems
RWTH Aachen University
|Phone:||+49 (0)241 80 99930|
|Fax:||+49 (0)241 80 92910|
Thomas-Peter Fries (firstname.lastname@example.org)