|
|
 |
|
Development of a robust multigrid solver for a finite element software in engineering
Supervision:
Background:
Z88 is a fast, powerful, and free
finite element program for PCs and large computers. Z88 contains 20 different
finite element types for computing plain and axisymmetric stress
conditions. The program contains an intuitive user interface and comes with a
powerful mesh generator and two plotting programs.
For solving the systems of equations arising from the finite element
discretizations, a Cholesky solver and an iterative solver are are currently
available. For the solution of very large finite element simulations, however,
multigrid
algorithms are more efficient. Therefore, the plan is to add a multigrid
solver to Z88. Further potential for speed-up is offered by parallelizing Z88
— with the advent of the new multi-core processors this will even become
inevitable.
Tasks:
- Implementation of an efficient algorithm, e.g. multigrid, to solve the
systems of equations occuring in Z88.
- Parallelization of the solver for shared and/or distributed memory
computers
- Application of the new solver in a concrete simulation, e.g. in the
computation of aircraft hull deformations during welding.
- Performance evaluation: comparison with the standard solvers, and tests on
large parallel computers
(e.g. HLRB II).
Requirements:
- Basic knowledge in numerical simulation, e.g. from the lectures given at this chair about scientific computing.
Good programming skills.
Type:
Master Thesis or Diploma Thesis in computer science or computational engineering
Status:
Free
References:
|
|
|
|
