Unconditionally maximum principle preserving finite element schemes for the surface Allen–Cahn type equations
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Publication:6071655
DOI10.1002/num.22435OpenAlexW2981674547WikidataQ126975926 ScholiaQ126975926MaRDI QIDQ6071655
Xinlong Feng, Ruijian He, Xufeng Xiao
Publication date: 28 November 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22435
convex splitting schemeoperator splitting approachstabilized semi-implicit schememaximum principle preservationlumped mass finite element methodsurface Allen-Cahn type equation
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Cites Work
- A hybrid FEM for solving the Allen-Cahn equation
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation
- Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method
- An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation
- Finite element approximation of the Cahn-Hilliard equation on surfaces
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Galerkin finite element methods for parabolic problems
- Unconditionally stable schemes for equations of thin film epitaxy
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- A marching method for the triangulation of surfaces
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Motion by mean curvature of curves on surfaces using the Allen-Cahn Equation
- A conservative Allen-Cahn equation with a space-time dependent Lagrange multiplier
- Lumped finite elements for reaction-cross-diffusion systems on stationary surfaces
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- A finite difference method for a conservative Allen-Cahn equation on non-flat surfaces
- The lumped mass finite element method for surface parabolic problems: error estimates and maximum principle
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model
- Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model
- The stabilized semi-implicit finite element method for the surface Allen-Cahn equation
- Spectral Methods
- Iterative Splitting Methods for Differential Equations
- Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- The lumped mass finite element method for a parabolic problem
- A Lumped Mass Finite-element Method with Quadrature for a Non-linear Parabolic Problem
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- Stabilized Crank-Nicolson/Adams-Bashforth Schemes for Phase Field Models
- Finite element methods for surface PDEs
