[PDF][PDF] Allen-Cahn 方程的虚拟元方法

王培珍, 田旭 - 数学季刊, 2023 - sxjk.magtechjournal.com
… , the virtual element method of the Allen-Cahn equation on a … -order implicit-explicit scheme
by the virtual element method for … Nonlinear stability of the implicit-explicit methods for the …

[HTML][HTML] 求解一维Allen-Cahn 方程的保能量耗散Du Fort-Frankel 格式

梁雨欣 - Pure Mathematics, 2023 - hanspub.org
… 摘要: Allen-Cahn方程的保结构算法常常是全隐线性格式或全隐非线性格式.为提高计算效率,…
for the Allen-Cahn equation are often fully implicit linear schemes or fully implicit nonlinear

[HTML][HTML] 一维Allen-Cahn 方程Du Fort-Frankel 格式的离散最大化原则和能量稳定性研究

林树华 - Pure Mathematics, 2022 - hanspub.org
… 摘要: 本文研究一维非线性Allen-Cahn方程的保结构Du Fort-Frankel差分法.该格式是显式的且
nonlinear Allen-Cahn equation. The scheme is explicit and unconditionally energy stable. …

[PDF][PDF] 求解一维Allen-Cahn 方程的保能量耗散

D Fort-Frankel - 2023 - pdf.hanspub.org
… The structure-preserving algorithms for the Allen-Cahn equation are often fully implicit linear
schemes or fully implicit nonlinear schemes. To improve computational efficiency, a class of …

相场方程的高效数值算法

T Tang, Z Qiao - 中国科学. 数学(Scientia sinica. Mathematica), 2020 - ira.lib.polyu.edu.hk
… 事实上, Allen-Cahn 方程本身满足所谓的最大模上界原理(maximum … Allen-Cahn 方程满足
MBP, 即如果初值条件满足∥u0∥L∞ ⩽ 1, 那么在任一时刻t, 都 有∥u(t)∥L∞ ⩽ 1. 对于Allen-Cahn

[HTML][HTML] 粘性Cahn-Hilliard 方程Crank-Nicolson/Adams-Bashforth 格式的混合有限元方法

卫钱瑞, 牛丽芳 - Advances in Applied Mathematics, 2020 - hanspub.org
… is proposed to solve the viscous Cahn-Hilliard equation. In this algorithm, the nonlinear
bulk force is treated explicitly with linear stabilization term. This treatment leads to solve linear …