Document Type
Article
Publication Date
11-1-2018
Abstract
We develop a robust solver for a mixed finite element convex splitting scheme for the Cahn–Hilliard equation. The key ingredient of the solver is a preconditioned minimal residual algorithm (with a multigrid preconditioner) whose performance is independent of the spacial mesh size and the time step size for a given interfacial width parameter. The dependence on the interfacial width parameter is also mild.
Publication Source (Journal or Book title)
Journal of Scientific Computing
First Page
1234
Last Page
1249
Recommended Citation
Brenner, S., Diegel, A., & Sung, L. (2018). A Robust Solver for a Mixed Finite Element Method for the Cahn–Hilliard Equation. Journal of Scientific Computing, 77 (2), 1234-1249. https://doi.org/10.1007/s10915-018-0753-3