Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 212, Issue 1, Pages 288-304Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2005.07.004
Keywords
Cahn-Hilliard equation; finite element; non-linear multigrid method
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A multigrid finite element solver for the Cahn-Hilliard equation is presented that has mesh-independent convergence rates for any time-step size, including in the important limit epsilon -> 0 which is examined via numerical examples. Numerics are performed for a number of test problems which show that the features of the Cahn-Hilliard equation (minimising interface measure, Lyapunov energy functional etc.) are preserved. We also explore the use of this solver in conjunction with adaptive time-stepping and adaptive mesh strategies. (c) 2005 Elsevier Inc. All rights reserved.
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