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20th GAMM-Seminar Leipzig on
Numerical Methods for Non-Local Operators

Max-Planck-Institute for Mathematics in the Sciences
Inselstr. 22-26, D-04103 [O->]Leipzig
Phone: +49.341.9959.752, Fax: +49.341.9959.999


     
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  20th GAMM-Seminar
January, 22th-24th, 2004
 
     
  Winterschool on hierarchical matrices  
     
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  Abstract Stefan Sauter, Fri, 08.30-09.00 Previous Contents Next  
  Stabilisation of acoustic single layer potential on non-smooth domains
Stefan Sauter (University Zürich)

In our paper, we will propose a general approach for stabilising the single layer potential for the Helmholtz boundary integral equation and prove its stability. We will consider Galerkin boundary element discretisations and analyse their convergence in qualitative way.

Furthemore, we will derive quantitative error bounds for the Galerkin discretisation which are explicit with respect to the mesh width and the wave number for the special case that the surface is the unit sphere in R3. This analysis allows us to choose the stabilisation such that the (negative) influence of the wave number in the stability and convergence estimates are minimal.

This talk comprises joint work with A. Buffa, Pavia.
 

 
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Last updated:
30.11.2004 Impressum
 
Concept, Design and Realisation
[O->]Jens Burmeister (Uni Kiel), Kai Helms (MPI Leipzig)
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