Adaptive finite element methods for Cahn–Hilliard equations

Banas L, Nürnberg R (2008)
Journal of Computational and Applied Mathematics 218(1): 2-11.

Download
No fulltext has been uploaded. References only!
Journal Article | Published | English

No fulltext has been uploaded

Author
;
Abstract
We develop a method for adaptive mesh refinement for steady state problems that arise in the numerical solution of Cahn–Hilliard equations with an obstacle free energy. The problem is discretized in time by the backward-Euler method and in space by linear finite elements. The adaptive mesh refinement is performed using residual based a posteriori estimates; the time step is adapted using a heuristic criterion. We describe the space–time adaptive algorithm and present numerical experiments in two and three space dimensions that demonstrate the usefulness of our approach.
Publishing Year
ISSN
PUB-ID

Cite this

Banas L, Nürnberg R. Adaptive finite element methods for Cahn–Hilliard equations. Journal of Computational and Applied Mathematics. 2008;218(1):2-11.
Banas, L., & Nürnberg, R. (2008). Adaptive finite element methods for Cahn–Hilliard equations. Journal of Computational and Applied Mathematics, 218(1), 2-11. doi:10.1016/j.cam.2007.04.030
Banas, L., and Nürnberg, R. (2008). Adaptive finite element methods for Cahn–Hilliard equations. Journal of Computational and Applied Mathematics 218, 2-11.
Banas, L., & Nürnberg, R., 2008. Adaptive finite element methods for Cahn–Hilliard equations. Journal of Computational and Applied Mathematics, 218(1), p 2-11.
L. Banas and R. Nürnberg, “Adaptive finite element methods for Cahn–Hilliard equations”, Journal of Computational and Applied Mathematics, vol. 218, 2008, pp. 2-11.
Banas, L., Nürnberg, R.: Adaptive finite element methods for Cahn–Hilliard equations. Journal of Computational and Applied Mathematics. 218, 2-11 (2008).
Banas, Lubomir, and Nürnberg, Robert. “Adaptive finite element methods for Cahn–Hilliard equations”. Journal of Computational and Applied Mathematics 218.1 (2008): 2-11.
This data publication is cited in the following publications:
This publication cites the following data publications:

Export

0 Marked Publications

Open Data PUB

Web of Science

View record in Web of Science®

Search this title in

Google Scholar