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

In English

Författare

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.

Avdelning/ar

Publiceringsår

2004

Språk

Engelska

Sidor

675-697

Publikation/Tidskrift/Serie

BIT Numerical Mathematics

Volym

44

Issue

4

Dokumenttyp

Artikel i tidskrift

Förlag

Springer

Ämne

  • Mathematics

Nyckelord

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

Status

Published

Forskningsgrupp

  • Harmonic Analysis and Applications
  • Harmonic Analysis and Applications

ISBN/ISSN/Övrigt

  • ISSN: 0006-3835