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Second-Order Unconditionally Stable Direct Methods for Allen–Cahn and Conservative Allen–Cahn Equations on Surfaces.
- Source :
-
Mathematics (2227-7390) . Sep2020, Vol. 8 Issue 9, p1486. 1p. - Publication Year :
- 2020
-
Abstract
- This paper describes temporally second-order unconditionally stable direct methods for Allen–Cahn and conservative Allen–Cahn equations on surfaces. The discretization is performed via a surface mesh consisting of piecewise triangles and its dual-surface polygonal tessellation. We prove that the proposed schemes, which combine a linearly stabilized splitting scheme, are unconditionally energy-stable. The resulting system of discrete equations is linear and is simple to implement. Several numerical experiments are performed to demonstrate the performance of our proposed algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- *LINEAR equations
*EQUATIONS
*ALGORITHMS
*DISCRETE systems
*TRIANGLES
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 8
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 146538128
- Full Text :
- https://doi.org/10.3390/math8091486