A Robust Solver for a Mixed Finite Element Method for the Cahn–Hilliard Equation

被引：0
作者：
Susanne C. Brenner
Amanda E. Diegel
Li-Yeng Sung
机构：
[1] Louisiana State University,Department of Mathematics and Center for Computation and Technology
来源：
Journal of Scientific Computing | 2018年 / 77卷
关键词：
Cahn–Hilliard equation; Convex splitting; Mixed finite element methods; MINRES; Block diagonal preconditioner; Multigrid;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：1234 / 1249
页数：15
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