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2019 A geometric full multigrid method and fourth-order compact scheme for the 3D Helmholtz equation on nonuniform grid discretization
Zhenwei Yang, Xiaobin Li, Lei Feng, Xinxin Hou
Rocky Mountain J. Math. 49(3): 1029-1047 (2019). DOI: 10.1216/RMJ-2019-49-3-1029

Abstract

A full multigrid method and fourth-order compact difference scheme is designed to solve the 3D Helmholtz equation on unequal mesh size. Three dimensional restriction and prolongation operators of the multigrid method on unequal grids could be constructed based on volume law. Two numerical experiments are implemented, and the results show the computational efficiency and accuracy of the full multigrid method. The study also illustrates that the full multigrid method with fourth-order compact difference scheme has great advantages in computation, which has been time consuming, and in iterative convergence efficiency.

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Zhenwei Yang. Xiaobin Li. Lei Feng. Xinxin Hou. "A geometric full multigrid method and fourth-order compact scheme for the 3D Helmholtz equation on nonuniform grid discretization." Rocky Mountain J. Math. 49 (3) 1029 - 1047, 2019. https://doi.org/10.1216/RMJ-2019-49-3-1029

Information

Published: 2019
First available in Project Euclid: 23 July 2019

zbMATH: 07088349
MathSciNet: MR3983313
Digital Object Identifier: 10.1216/RMJ-2019-49-3-1029

Subjects:
Primary: 65F10
Secondary: 65N06, 65N55

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 3 • 2019
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