Accession Number:

ADA464873

Title:

Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations

Descriptive Note:

Corporate Author:

UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA HEFEI

Personal Author(s):

Report Date:

2007-01-01

Pagination or Media Count:

29.0

Abstract:

In this paper we develop local discontinuous Galerkin LDG methods for the fourth-order nonlinear Cahn-Hilliard equation and system. The energy stability of the LDG methods is proved for the general nonlinear case. Numerical examples for the Cahn-Hilliard equation and the Cahn-Hilliard system in one and two dimensions are presented and the numerical results illustrate the accuracy and capability of the methods.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE