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Mathematics of Computation

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Coupled harmonic equations, SOR, and Chebyshev acceleration


Author: L. W. Ehrlich
Journal: Math. Comp. 26 (1972), 335-343
MSC: Primary 65N10
MathSciNet review: 0311128
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Abstract: A coupled pair of harmonic equations is solved by the application of Chebyshev acceleration to the Jacobi, Gauss-Seidel, and related iterative methods, where the Jacobi iteration matrix has purely imaginary (or zero) eigenvalues. Comparison is made with a block SOR method used to solve the same problem.


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DOI: https://doi.org/10.1090/S0025-5718-1972-0311128-X
Keywords: Chebyshev acceleration, successive overrelaxation, biharmonic equation, coupled harmonic equations, harmonic equations, finite differences, iterative solutions of linear systems
Article copyright: © Copyright 1972 American Mathematical Society