In this paper, we consider solving potential equations by the boundary integral equation approach. The equations so derived are Fredholm integral equations of the ÿrst kind and are known to be ill-conditioned. Their discretized matrices are dense and have condition numbers growing like O(n) where n
Multigrid solvers and preconditioners for first kind integral equations
✍ Scribed by T. Von Petersdorff; E. P. Stephan
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 399 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0749-159X
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📜 SIMILAR VOLUMES
A multigrid scheme naturally contained in wa¨elet expansion methods is presented. Careful examination of the wa¨elet matrix re¨eals matrix representations of an integral operator at ¨arious coarse le¨els that can be identified as nested submatrices of the original wa¨elet matrix at the finest le¨el.
## Abstract Starting from the time‐harmonic Maxwell equations at low‐frequency eddy current approximation the H–__ϕ__ formulation is presented. An equivalent system of boundary integral equations of the second kind on the conductor surface (resp. the conductor/dielectric) is derived. Discretizing t
## Abstract This paper presents a numerical study of the 3D flow around a cylinder which was defined as a benchmark problem for the steady state Navier–Stokes equations within the DFG high‐priority research program __flow simulation with high‐performance computers__ by Schafer and Turek (Vol. 52, V