Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
type: Item
instance of: scholarly article
title: Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy
zbMATH Open document ID: 0882.65129
author: John W. Barrett
author: James F. Blowey
published in: Numerische Mathematik
publication date: 1997-07-28T00:00:00Z
review text: This is a long and yet compactly written paper with many nice features. The authors consider a partial differential equation model for the isothermal phase separation of a multicomponent mixture, when quenched into an unstable state. A piecewise linear finite element approximation is used and combined with a backward Euler time discretization; the resulting nonlinear equations are solved iteratively. The authors analyze the computations and provide error bounds. Numerical experiments are performed in one and two space dimensions. In the one-dimensional case some computed steady states are compared with explicitly constructed solutions to the stationary equations.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 80A22
zbMATH DE Number: 1040501
zbMATH Keywords: multicomponent alloy
zbMATH Keywords: Cahn-Hilliard equation
zbMATH Keywords: numerical experiments
zbMATH Keywords: phase separation
zbMATH Keywords: finite element
zbMATH Keywords: error bounds
reviewed by: Willy J. F. Govaerts
MaRDI profile type: Publication
full work available at URL: s002110050276
OpenAlex ID: W2011723842
DOI: 10.1007/S002110050276
description: scientific article; zbMATH DE number 1040501