Analysis of Iterative Sub-structuring Techniques for Boundary Element Approximation of the Hypersingular Operator in Three Dimensions

@inproceedings{Ainsworth2002AnalysisOI,
  title={Analysis of Iterative Sub-structuring Techniques for Boundary Element Approximation of the Hypersingular Operator in Three Dimensions},
  author={Mark Ainsworth and Benqi Guo},
  year={2002}
}
The article deals with the analysis of Additive Schwarz preconditioners for the h-version of the boundary element method for the hypersingular integral equation on surfaces in three dimensions. The first preconditioner consists of decomposing into local spaces associated with the subdomain interiors, supplemented with a wirebasket space associated with the subdomain interfaces. The wirebasket correction only involves the inversion of a diagonal matrix, while the interior correction consists of… CONTINUE READING