Document Type
Article
Publication Date
1-15-2020
Abstract
We develop a robust solver for a second order mixed finite element splitting scheme for the Cahn–Hilliard equation. This work is an extension of our previous work in which we developed a robust solver for a first order mixed finite element 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 spatial 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 Computational and Applied Mathematics
Recommended Citation
Brenner, S., Diegel, A., & Sung, L. (2020). A robust solver for a second order mixed finite element method for the Cahn–Hilliard equation. Journal of Computational and Applied Mathematics, 364 https://doi.org/10.1016/j.cam.2019.06.038
