On a fast direct elliptic solver by a modified Fourier method

A. Averbuch; L. Vozovoi; M. Israeli

doi:10.1023/a:1019106223154

On a fast direct elliptic solver by a modified Fourier method

A. Averbuch
, L. Vozovoi
, M. Israeli

Tel Aviv University
Technion-Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

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 language	English
Pages (from-to)	287-313
Number of pages	27
Journal	Numerical Algorithms
Volume	15
Issue number	3-4
DOIs	https://doi.org/10.1023/a:1019106223154
State	Published - 1997
Externally published	Yes

Keywords

Corner singularities
Fast solver
Fourier method
Helmholtz equation
Subtraction technique

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10.1023/a:1019106223154

Cite this

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AU - Israeli, M.

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AB - 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.

KW - Corner singularities

KW - Fast solver

KW - Fourier method

KW - Helmholtz equation

KW - Subtraction technique

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On a fast direct elliptic solver by a modified Fourier method

Abstract

Keywords

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