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

Autor:	Roland Glowinski, D. A. Trevas, Edward J. Dean
Rok vydání:	1996
Předmět:	Factorization Discretization Applied Mathematics Non-linear least squares Conjugate gradient method Mathematical analysis General Engineering Finite difference Mixed finite element method Least squares Finite element method Mathematics
Zdroj:	Japan Journal of Industrial and Applied Mathematics. 13:495-517
ISSN:	1868-937X 0916-7005
DOI:	10.1007/bf03167260
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5c5c9b140d8a3363ab3162a6cc1a3eb8 https://doi.org/10.1007/bf03167260 Zobrazit plný text záznamu Full text from SpringerLink