Unconditionally gradient stable time marching the Cahn-Hilliard equation
Abstract
Numerical methods for time stepping the Cahn-Hilliard equation are given and discussed. The methods are unconditionally gradient stable, and are uniquely solvable for all time steps. The schemes require the solution of ill-conditioned linear equations, and numerical methods to accurately solve these equations are also discussed.
- Authors:
-
- Univ. of Utah, Salt Lake City, UT (United States). Dept. of Mathematics
- Publication Date:
- OSTI Identifier:
- 305575
- Report Number(s):
- CONF-980405-
Journal ID: ISSN 0272-9172; TRN: IM9906%%255
- Resource Type:
- Conference
- Resource Relation:
- Conference: Spring meeting of the Materials Research Society, San Francisco, CA (United States), 13-17 Apr 1998; Other Information: PBD: 1998; Related Information: Is Part Of Computational and mathematical models of microstructural evolution; Bullard, J.W. [ed.] [Univ. of Illinois, Urbana, IL (United States)]; Chen, L.Q. [ed.] [Pennsylvania State Univ., University Park, PA (United States)]; Kalia, R.K. [ed.] [Louisiana State Univ., Baton Rouge, LA (United States)]; Stoneham, A.M. [ed.] [University College London (United Kingdom)]; PB: 194 p.; Materials Research Society symposium proceedings, Volume 529
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; 99 MATHEMATICS, COMPUTERS, INFORMATION SCIENCE, MANAGEMENT, LAW, MISCELLANEOUS; NUMERICAL SOLUTION; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; NONLINEAR PROBLEMS; MICROSTRUCTURE; MATERIALS
Citation Formats
Eyre, D J. Unconditionally gradient stable time marching the Cahn-Hilliard equation. United States: N. p., 1998.
Web.
Eyre, D J. Unconditionally gradient stable time marching the Cahn-Hilliard equation. United States.
Eyre, D J. 1998.
"Unconditionally gradient stable time marching the Cahn-Hilliard equation". United States.
@article{osti_305575,
title = {Unconditionally gradient stable time marching the Cahn-Hilliard equation},
author = {Eyre, D J},
abstractNote = {Numerical methods for time stepping the Cahn-Hilliard equation are given and discussed. The methods are unconditionally gradient stable, and are uniquely solvable for all time steps. The schemes require the solution of ill-conditioned linear equations, and numerical methods to accurately solve these equations are also discussed.},
doi = {},
url = {https://www.osti.gov/biblio/305575},
journal = {},
issn = {0272-9172},
number = ,
volume = ,
place = {United States},
year = {Thu Dec 31 00:00:00 EST 1998},
month = {Thu Dec 31 00:00:00 EST 1998}
}
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