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An evolving surface finite element method for the Cahn-Hilliard equation with a logarithmic potential by Elliott, Charles M.; Sales, Thomas is a scholarly article available to read on EtoBox.

What is An evolving surface finite element method for the Cahn-Hilliard equation with a logarithmic potential about?

In this paper we study semi-discrete and fully discrete evolving surface finite element schemes for the Cahn-Hilliard equation with a logarithmic potential. Specifically we consider linear finite elements discretising space and backward Euler time discretisation. Our analysis relies on a specific geometric assumption on the evolution of the surface. Our main results are $L^2_{H^1}$ error bounds for both the semi-discrete and fully discrete schemes, and we provide some numerical results.

Author

Elliott, Charles M.; Sales, Thomas

Published

2024

Language

EN