Found 33 Documents (Results 1–33)
Unconditionally maximum principle-preserving linear method for a mass-conserved Allen-Cahn model with local Lagrange multiplier. (English) Zbl 07912603
Multiphase lattice Boltzmann flux solver with conservative model for modeling high-density-ratio flows. (English) Zbl 07882716
Arbitrarily high-order accurate and energy-stable schemes for solving the conservative Allen-Cahn equation. (English) Zbl 1533.65194
A convexity-preserving and perimeter-decreasing parametric finite element method for the area-preserving curve shortening flow. (English) Zbl 1522.65174
Highly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid system. (English) Zbl 1538.65280
Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation. (English) Zbl 1521.65072
The existence of a weak solution to volume preserving mean curvature flow in higher dimensions. (English) Zbl 07687726
On the mass-conserving Allen-Cahn approximation for incompressible binary fluids. (English) Zbl 1504.35225
Qualitative and numerical aspects of a motion of a family of interacting curves in space. (English) Zbl 1539.53102
Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations. (English) Zbl 07435301
J. Sci. Comput. 90, No. 1, Paper No. 8, 29 p. (2022); correction ibid. 91, No. 1, Paper No. 13, 2 p. (2022).
Metastable dynamics for a hyperbolic variant of the mass conserving Allen-Cahn equation in one space dimension. (English) Zbl 1456.35011
Novel mass-conserving Allen-Cahn equation for the boundedness of an order parameter. (English) Zbl 1450.35133
A stable and structure-preserving scheme for a non-local Allen-Cahn equation. (English) Zbl 1403.65043
MSC:
65M06
Convergence of the Allen-Cahn equation to multiphase mean curvature flow. (English) Zbl 1393.35122
MSC:
35K93
A positivity preserving and conservative variational scheme for phase-field modeling of two-phase flows. (English) Zbl 1391.76651
Area preserving geodesic curvature driven flow of closed curves on a surface. (English) Zbl 1516.35230
Numerical approximation of the conservative Allen-Cahn equation by operator splitting method. (English) Zbl 1373.65076
Reviewer: Wilhelm Heinrichs (Essen)
Comparison study of the conservative Allen-Cahn and the Cahn-Hilliard equations. (English) Zbl 1540.82010
High-order and mass conservative methods for the conservative Allen-Cahn equation. (English) Zbl 1359.65216
Second-order \(\Gamma\)-limit for the Cahn-Hilliard functional. (English) Zbl 1356.49016
Reviewer: Jafar Zafarani (Isfahan)
MSC:
49J45
A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier. (English) Zbl 1425.65089
Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints. (English) Zbl 1272.65060
Reviewer: Jan Lovíšek (Bratislava)
A modified phase field approximation for mean curvature flow with conservation of the volume. (English) Zbl 1235.49082
Modified mean curvatue flow with conic obstacle. (Flot de courbure moyenne modifiée avec obstacle conique.) (French) Zbl 1063.35096
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