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An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation
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Year:    2015

Communications in Computational Physics, Vol. 17 (2015), Iss. 1 : pp. 127–145

Abstract

A two-grid method for solving the Cahn-Hilliard equation is proposed in this paper. This two-grid method consists of two steps. First, solve the Cahn-Hilliard equation with an implicit mixed finite element method on a coarse grid. Second, solve two Poisson equations using multigrid methods on a fine grid. This two-grid method can also be combined with local mesh refinement to further improve the efficiency. Numerical results including two and three dimensional cases with linear or quadratic elements show that this two-grid method can speed up the existing mixed finite method while keeping the same convergence rate.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.231213.100714a

Communications in Computational Physics, Vol. 17 (2015), Iss. 1 : pp. 127–145

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:   

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