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International Journal of Numerical Methods and Applications

International Journal of Numerical Methods and Applications
Volume 15, Issue 4, Pages 333 - 363 (December 2016)
http://dx.doi.org/10.17654/NM015040333

STABILITY, UNIQUE EXISTENCE AND CONVERGENCE OF ENERGY PRESERVING FINITE ELEMENT SCHEME FOR ALLEN-CAHN EQUATION BY MEANS OF THE DISCRETE VARIATIONAL DERIVATIVE METHOD

Takanori Ide

Abstract:

The conditions of stability, unique existence and convergence of energy preserving finite element scheme for Allen-Cahn equation by means of the discrete variational derivative method are presented.

Keywords and phrases:

discrete variational derivative method, Allen-Cahn equation, energy preserving, finite element method.

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