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The BPX preconditioner for the single layer potential operator

✍ Scribed by Funken, Stefan A.; Stephan, Ernst P.

Book ID
111923271
Publisher
Taylor and Francis Group
Year
1997
Tongue
English
Weight
374 KB
Volume
67
Category
Article
ISSN
0003-6811

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πŸ“œ SIMILAR VOLUMES

Schauder Estimates for the Single Layer
Schauder Estimates for the Single Layer Potential in Hydrodynamics
✍ Paul Deuring; Werner Varnhorn πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 544 KB

## Abstract Let Ξ© be an open set in ℝ^__N__^(__N__ β©Ύ 3), with compact boundary ϑΩ of type __C__^1,Ξ±^(Ο΅(0,1)). We show that the single layer potential __Ef__, related to the stationary Stokes system on Ξ©, belongs to __C__^1,Ξ±^(ϑΩ)^__N__^, provided the source density __f__ belongs to __C__^Ξ±^(ϑΩ)^__N

Finite Section Method for the Double Lay
Finite Section Method for the Double Layer Potential Operator over Polyhedral Boundaries
✍ A. Rathsfeld πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 382 KB

## Abstract In this paper we consider the finite section method for the solution of the double layer potential equation corresponding to Laplace's equation in a three‐dimensional polyhedron. We prove the stability of our method in case of special polyhedrons.