On a fast direct elliptic solver by a modified Fourier method

A. Averbuch, L. Vozovoi, M. Israeli

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We describe high order numerical algorithms for the solution of second order elliptic equations in rectangular domains. These algorithms are based on the Fourier method in combination with a subtraction procedure. The singularities at the corner points, arising due to non-smoothness of the boundaries, are treated explicitly using properly constructed singular corner functions. The present algorithm is a generalization of the Fast Poisson Solver developed in our previous paper.

Original languageEnglish
Pages (from-to)287-313
Number of pages27
JournalNumerical Algorithms
Issue number3-4
StatePublished - 1997
Externally publishedYes


  • Corner singularities
  • Fast solver
  • Fourier method
  • Helmholtz equation
  • Subtraction technique


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