Journal of applied mathematics & informatics
- Volume 19 Issue 1_2
- /
- Pages.385-395
- /
- 2005
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
FINITE ELEMENT SCHEME FOR THE VISCOUS CAHN-HILLIARD EQUATION WITH A NONCONSTANT GRADIENT ENERGY COEFFICIENT
- CHOO S. M. (School of Electrical Engineering, University of Ulsan) ;
- KIM Y. H. (Division of General Education, Kwangwoon University)
- Published : 2005.09.01
Abstract
A finite element scheme is considered for the viscous Cahn-Hilliard equation with the nonconstant gradient energy coefficient. The scheme inherits energy decay property and mass conservation as for the classical solution. We obtain the corresponding error estimate using the extended Lax-Richtmyer equivalence theorem.
Keywords
- Viscous Cahn-Hilliard equation;
- dissipation property;
- conservation of mass;
- Lax-Richtmyer equivalence theorem;
- nonlinear finite element scheme