Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation
Numerical Analysis
2020-04-10 v1 Numerical Analysis
Abstract
In this paper, we construct efficient schemes based on the scalar auxiliary variable (SAV) block-centered finite difference method for the modified phase field crystal (MPFC) equation, which is a sixth-order nonlinear damped wave equation. The schemes are linear, conserve mass and unconditionally dissipate a pseudo energy. We prove rigorously second-order error estimates in both time and space for the phase field variable in discrete norms. We also present some numerical experiments to verify our theoretical results and demonstrate the robustness and accuracy.
Keywords
Cite
@article{arxiv.2004.04319,
title = {Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation},
author = {Xiaoli Li and Jie Shen},
journal= {arXiv preprint arXiv:2004.04319},
year = {2020}
}