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A comparison of splittings and integral equation solvers for a nonseparable elliptic equation

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Author

Summary, in English

Iterative numerical schemes for solving the electrostatic partial differential equation with variable conductivity, using fast and high-order accurate direct methods for preconditioning, are compared. Two integral method schemes of this type, based on previously suggested splittings of the equation, are proposed, analyzed, and implemented. The schemes are tested for large problems on a square. Particular emphasis is paid to convergence as a function of geometric complexity in the conductivity. Differences in performance of the schemes are predicted and observed in a striking manner.

Department/s

Publishing year

2004

Language

English

Pages

675-697

Publication/Series

BIT Numerical Mathematics

Volume

44

Issue

4

Document type

Journal article

Publisher

Springer

Topic

  • Mathematics

Keywords

  • fast multipole method
  • equation
  • Fredholm integral
  • nonseparable elliptic PDE
  • variable coefficients

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Other

  • ISSN: 0006-3835