A robust solver for a second order mixed finite element method for the Cahn-Hilliard equation

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:364

Article

Brenner, Susanne C.^1,2  Diegel, Amanda E.^1,2  Sung, Li-Yeng^1,2 

[1] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

[2] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

关键词: Cahn-Hilliard equation;    Convex Splitting;    Mixed finite element methods;    MINRES;    Block diagonal preconditioner;    Multigrid;   

DOI  :  10.1016/j.cam.2019.06.038

来源: Elsevier

【 摘 要 】

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. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free