A Robust Solver for a Mixed Finite Element Method for the Cahn-Hilliard Equation
Numerical Analysis
2017-09-14 v1
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.
Cite
@article{arxiv.1709.04003,
title = {A Robust Solver for a Mixed Finite Element Method for the Cahn-Hilliard Equation},
author = {Susanne C. Brenner and Amanda E. Diegel and Li-Yeng Sung},
journal= {arXiv preprint arXiv:1709.04003},
year = {2017}
}
Comments
16 pages, 8 figures, 4 tables