On a Class of Preconditioning Methods for Dense Linear Systems from Boundary Elements

  • Authors:
  • Ke Chen

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Scientific Computing
  • Year:
  • 1998

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Abstract

In this paper we discuss several sparse-matrix-based preconditioners suitable for preconditioning dense linear systems of boundary element equations. All preconditioners involve only O(n) nonzeros. We provide a framework for constructing operator-splitting-based preconditioners and use it to analyze a class of sparse preconditioners. For singular integral equations, a more efficient preconditioner is proposed that has a band-2 structure.