A Robust Solver for a Second Order Mixed Finite Element Method for the Cahn-Hilliard Equation
Numerical Analysis
2018-11-09 v1
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 equaion. 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.1811.03430,
title = {A Robust Solver for a Second Order 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:1811.03430},
year = {2018}
}
Comments
17 pages, 3 figures, 4 tables. arXiv admin note: substantial text overlap with arXiv:1709.04003