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Multigrid methods for cell-centered discretizations on triangular meshes

Authors

  • P. Salinas,

    Corresponding author
    • Instituto Universitario de Matemáticas y Aplicaciones IUMA, Applied Mathematics Department, University of Zaragoza, Zaragoza, Spain
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  • C. Rodrigo,

    1. Instituto Universitario de Matemáticas y Aplicaciones IUMA, Applied Mathematics Department, University of Zaragoza, Zaragoza, Spain
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  • F. J. Gaspar,

    1. Instituto Universitario de Matemáticas y Aplicaciones IUMA, Applied Mathematics Department, University of Zaragoza, Zaragoza, Spain
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  • F. J. Lisbona

    1. Instituto Universitario de Matemáticas y Aplicaciones IUMA, Applied Mathematics Department, University of Zaragoza, Zaragoza, Spain
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Correspondence to: P. Salinas, Instituto Universitario de Matemáticas y Aplicaciones IUMA, Applied Mathematics Department, University of Zaragoza, Zaragoza, Spain.

E-mail: salinascortes86@gmail.com

SUMMARY

This paper deals with the design of efficient multigrid methods for cell-centered finite volume schemes on semi-structured triangular grids. Appropriate novel smoothers are proposed for this type of discretizations, depending on the geometry of the grid. Because of the semi-structured character of the mesh, on each structured patch, different smoothers can be considered. In this way, the multigrid method is constructed in a block-wise form, and its global behavior will rely on the components on each block. Numerical experiments are presented to illustrate the good behavior of the proposed multigrid method. Copyright © 2012 John Wiley & Sons, Ltd.

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