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Delayed Over-Relaxation for iterative methods
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DOI：10.1016/j.jcp.2016.06.016.png)
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摘要
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We propose a variant of the relaxation step used in the most widespread iterative methods (e.g. Jacobi Over-Relaxation, Successive Over-Relaxation) which combines the iteration at the predicted step, namely (n + 1), with the iteration at step (n - 1). We provide a theoretical analysis of the proposed algorithm by applying such a delayed relaxation step to a generic (convergent) iterative scheme. We prove that, under proper assumptions, this significantly improves the convergence rate of the initial iterative method. As a relevant example, we apply the proposed algorithm to the solution of the Poisson equation, highlighting the advantages in comparison with classical iterative models. (C) 2016 Elsevier Inc. All rights reserved.
Keyword:
Iterative methods
Over relaxation
Stability
Elliptic partial differential equations
Poisson equation
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3.8
论文数:
1.6W
被引数:
7.4W
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Acceleration of the Jacobi iterative method by factors exceeding 100 using scheduled relaxation
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