An iterative method for the Helmholtz equation

An iterative method for the Helmholtz equation

An iterative algorithm for the solution of the Helmholtz equation is developed. The algorithm is based on a preconditioned conjugate gradient iteration for the normal equations. The preconditioning is based on an SSOR sweep for the discrete Laplacian. Numerical results are presented for a wide varie...

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Veröffentlicht in:J. Comput. Phys.; (United States) 1983-03, Vol.49 (3), p.443-457
Hauptverfasser: Bayliss, Alvin, Goldstein, Charles I, Turkel, Eli
Format: Artikel
Sprache:eng
Schlagworte:
658000 - Mathematical Physics- (-1987)
ALGORITHMS
BOUNDARY-VALUE PROBLEMS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
EQUATIONS
ITERATIVE METHODS
LAPLACIAN
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
Numerical Analysis
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Beschreibung
Zusammenfassung:An iterative algorithm for the solution of the Helmholtz equation is developed. The algorithm is based on a preconditioned conjugate gradient iteration for the normal equations. The preconditioning is based on an SSOR sweep for the discrete Laplacian. Numerical results are presented for a wide variety of problems of physical interest and demonstrate the effectiveness of the algorithm.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(83)90139-0