FINITE ELEMENT APPROXIMATION OF A MODEL FOR PHASE SEPARATION OF A MULTI-COMPONENT ALLOY WITH NONSMOOTH FREE ENERGY AND A CONCENTRATION DEPENDENT MOBILITY MATRIX-Reference-Cited by-同舟云学术

FINITE ELEMENT APPROXIMATION OF A MODEL FOR PHASE SEPARATION OF A MULTI-COMPONENT ALLOY WITH NONSMOOTH FREE ENERGY AND A CONCENTRATION DEPENDENT MOBILITY MATRIX

Published:1999-07 Issue:05 Volume:09 Page:627-663
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BARRETT JOHN W.¹,BLOWEY JAMES F.²

Affiliation:

1. Department of Mathematics, Imperial College, London SW7 2BZ, UK

2. Department of Mathematical Sciences, University of Durham, DH1, UK

Abstract

We consider a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix. In particular we prove that there exists a unique solution for sufficiently smooth initial data. Further, we prove an error bound for a fully practical piecewise linear finite element approximation in one and two space dimensions. Finally numerical experiments with three components in one space dimension are presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202599000336

Reference12 articles.

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4. Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix

5. Numerical analysis of a model for phase separation of a multi-component alloy

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