论文标题
改进相位场晶体方程的有效线性和无条件的能量稳定方案
Efficient Linear and Unconditionally Energy Stable Schemes for the Modified Phase Field Crystal Equation
论文作者
论文摘要
在本文中，我们基于定位相位场晶体（MPFC）方程的标量辅助变量（SAV）中心的有限差方法构建有效方案，该方法是第六阶非线性抑制波方程。这些方案是线性的，保存质量，无条件地耗散伪能。我们证明，在离散规范中，相位场变量的时间和空间中，我们都严格估算了二阶误差估计。我们还提出了一些数值实验，以验证我们的理论结果并证明鲁棒性和准确性。
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.
