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- Title
The Second-Order Numerical Approximation for a Modified Ericksen–Leslie Model.
- Authors
Liao, Cheng; Wang, Danxia; Zhang, Haifeng
- Abstract
In this study, two numerical schemes with second-order accuracy in time for a modified Ericksen–Leslie model are constructed. The highlight is based on a novel convex splitting method for dealing with the nonlinear potentials, which is integrated with the second-order backward differentiation formula (BDF2) and leap frog method for temporal discretization and the finite element method for spatial discretization. The unconditional energy stability of both schemes is further demonstrated. Finally, several numerical examples are presented to demonstrate the efficiency and accuracy of the proposed schemes.
- Subjects
FINITE element method; DISCRETIZATION methods; CRANK-nicolson method
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 5, p672
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12050672