An error estimate for a finite-volume scheme for the Cahn–Hilliard equation with dynamic boundary conditions
An error estimate for a finite-volume scheme for the Cahn–Hilliard equation with dynamic boundary conditions
复制标题
具有动态边界条件的 Cahn-Hilliard 方程的有限体积格式的误差估计
DOI：
10.1007/s00211-021-01230-7
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发表时间：
2018
影响因子：
2.1
通讯作者：
Flore Nabet
中科院分区：
文献类型：
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作者：
Flore Nabet
本文考虑具有动态边界条件的Cahn-Hilliard方程的有限体积近似。Nabet（IMA J Numer Anal 36（4）：1898-1942，2016）证明了该格式的收敛性，我们在这里证明了全离散格式的误差估计。数值模拟结果验证了理论分析的正确性。
In this paper we consider a finite-volume approximation for the Cahn–Hilliard equation with dynamic boundary conditions. The convergence of the scheme is proved in Nabet (IMA J Numer Anal 36(4): 1898–1942, 2016), we prove here an error estimate for the fully-discrete scheme. We also give numerical simulations which validate the theoretical result.