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NASA NTRS · 19830047879

An iterative method for the Helmholtz equation

Abstract

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.

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BibTeXRIS

Bayliss, A., Goldstein, C. I., Turkel, E.. 1983-03-01. An iterative method for the Helmholtz equation. https://ntrs.nasa.gov/citations/19830047879

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