Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions
نویسندگان
چکیده
Abstract A proof of convergence is given for a bulk–surface finite element semidiscretisation the Cahn–Hilliard equation with Cahn–Hilliard-type dynamic boundary conditions in smooth domain. The studied an abstract weak formulation as second-order system. Optimal-order uniform-in-time error estimates are shown $L^2$- and $H^1$-norms. based on consistency stability analysis. performed framework, energy exploiting anti-symmetric structure Numerical experiments illustrate theoretical results.
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ژورنال
عنوان ژورنال: Ima Journal of Numerical Analysis
سال: 2021
ISSN: ['1464-3642', '0272-4979']
DOI: https://doi.org/10.1093/imanum/drab045