A Minimization Method for The Double-Well Energy Functional
Numerical Analysis
2018-11-19 v2
Abstract
In this paper an iterative minimization method is proposed to approximate the minimizer to the double-well energy functional arising in the phase-field theory. The method is based on a quadratic functional posed over a nonempty closed convex set and is shown to be unconditionally energy stable. By the minimization approach, we also derive an variant of the first-order scheme for the Allen-Cahn equation, which has been constructed in the context of Invariant Energy Quadratization, and prove its unconditional energy stability.
Cite
@article{arxiv.1809.01839,
title = {A Minimization Method for The Double-Well Energy Functional},
author = {Qian Zhang and Long Chen and Yifeng Xu},
journal= {arXiv preprint arXiv:1809.01839},
year = {2018}
}