We consider a coupled finite element (fe)-boundary element (be) approach for three-dimensional magnetic field problems. The formulation is based on a vector potential in a bounded domain (fe) and a scalar potential in an unbounded domain (be). We describe a coupled variational problem yielding a unique solution where the constraints in the trial spaces are replaced by appropriate side conditions. Then we discuss a Galerkin discretization of the coupled problem and prove a quasi-optimal error estimate. Finally we discuss an efficient preconditioned iterative solution strategy for the resulting linear system.
| Original language | English |
|---|
| Number of pages | 16 |
|---|
| Publication status | Published - May 2001 |
|---|
| Name | Bericht des SFB 404 Mehrfeldprobleme in der Kontinuumsmechanik der Universität Stuttgart |
|---|
| No. | 05 |
|---|
| ISSN (Print) | 0949-2046 |
|---|
- 101 Mathematics
- 101014 Numerical mathematics
- 101016 Optimisation
- 101020 Technical mathematics
- 102009 Computer simulation
- 102022 Software development
- 102023 Supercomputing