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27 September 2022 Newton iteration finite volume element approximation for the Cahn-Hilliard equation
Wenhan Xu, Jianwei Zhou, Wanfang Shen, Liang Ge
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Proceedings Volume 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022); 123450K (2022) https://doi.org/10.1117/12.2648662
Event: 2022 International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 2022, Qingdao, China
Abstract
In this paper, we consider the phase field model by solving the nonlinear Cahn-Hilliard equation using a finite volume element method. A fully discrete approximation scheme is given and we obtain an algorithm for solving the discrete scheme based on the Newton-Raphson method. Numerical examples are provided to verify the theoretical results.
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Wenhan Xu, Jianwei Zhou, Wanfang Shen, and Liang Ge "Newton iteration finite volume element approximation for the Cahn-Hilliard equation", Proc. SPIE 12345, International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2022), 123450K (27 September 2022); https://doi.org/10.1117/12.2648662
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KEYWORDS
Mathematics
Numerical analysis
Partial differential equations
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