| Speaker: | Andreas L. Wiegmann, Fraunhofer Institut Techno- und Wirtschaftsmathematik, Kaiserslautern, Germany |
| Title: | Explicit Jump solvers and virtual material design |
| Time: | 3:00-4:00 pm |
| Place: | Blocker 612 (ISC Conference Room) |
In an effort to characterize porous and composite materials based on their micro scale geometry, first order accurate fast iterative elliptic solvers for Stokes flow, diffusion and heat conduction were developed. They all have in common that they are based on two-dimensional Schur-complements on surfaces and use FFT-based fast solvers for the three-dimensional Cartesian grid problem to work extremely efficiently on three-dimensional geometries up to 600^3 voxels on current single-CPU Opteron hardware with 16 GB of memory. With these solvers, partial differential equations can be solved on Representative Elementary Volumes for the design of filtration properties, acoustic properties, and heat conduction of foams, fibrous or sintered materials. The development of this class of methods is significantly simplified by the recurring use of conjugate gradient methods, professional FFT software (FFTW), Schur-complements and last but not least the great simplicity of uniform Cartesian grids.
Last revised: 09/26/06 By: christov@math