An approximate factorization/least squares solution method for a mixed finite element approximation of the Cahn-Hilliard equation.

Autor: Dean, E., Glowinski, R., Trevas, D.
Zdroj: Japan Journal of Industrial & Applied Mathematics; 1996, Vol. 13 Issue 3, p495-517, 23p
Abstrakt: We discuss in this article the numerical solution of the Cahn-Hilliard equation modelling the spinodal decomposition of binary alloys. The numerical methodology combines a second-order finite difference time discretization with a mixed finite element space approximation and a least squares formulation based on an approximate factorization of a fourth-order elliptic operator which appears in the numerical model. The least squares problem-which is linear-is solved by a preconditioned conjugate gradient algorithm. The results of numerical experiments illustrate the possibilities of the methods discussed in this article. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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