Finite element analysis of a new phase field model with \(p\)-Laplacian operator
From MaRDI portal
Publication:2661393
DOI10.1016/j.matcom.2020.12.027OpenAlexW3119802399MaRDI QIDQ2661393
Xue Wang, Guang-an Zou, Tony Wen-Hann Sheu
Publication date: 7 April 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2020.12.027
Related Items
Numerical solutions of the Allen-Cahn equation with the \(p\)-Laplacian ⋮ Numerical solution for a class of evolution differential equations with \(p\)-Laplacian and memory
Cites Work
- A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection
- Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Galerkin finite element methods for parabolic problems
- A minimum principle for the problem of torsional creep
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms
- A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis
- Resonance problems for the \(p\)-Laplacian
- Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach
- Efficient and accurate numerical scheme for a magnetic-coupled phase-field-crystal model for ferromagnetic solid materials
- Efficient numerical scheme for a penalized Allen-Cahn type Ohta-Kawasaki phase-field model for diblock copolymers
- Numerical approximations of a hydro-dynamically coupled phase-field model for binary mixture of passive/active nematic liquid crystals and viscous fluids
- Decoupled energy stable schemes for phase-field vesicle membrane model
- Preconditioned descent algorithms for \(p\)-Laplacian
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- Modeling and simulations of drop pinch-off from liquid crystal filaments and the leaky liquid crystal faucet immersed in viscous fluids
- Variational and non-variational eigenvalues of the \(p\)-Laplacian
- Error estimates for a mixed finite volume method for the \(p\)-Laplacian problem
- Eigenvalue problems for the \(p\)-Laplacian
- A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow
- Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions
- Quasi-Norm Local Error Estimators forp-Laplacian
- A Hybridizable Discontinuous Galerkin Method for the $p$-Laplacian
- Steiner symmetry in the minimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- Optimality of an adaptive finite element method for the p-Laplacian equation
- Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise
- On Eigenvalue Problems of the p-Laplacian with Neumann Boundary Conditions
- The phase field method for geometric moving interfaces and their numerical approximations
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- Linear Convergence of an Adaptive Finite Element Method for the p-Laplacian Equation
- Optimization of the first eigenvalue in problems involving the 𝑝-Laplacian
- SOME BOUNDARY-VALUE PROBLEMS FOR THE EQUATION 〈.(|〈φ|N〈φ)=0
- Finite Element Approximation of the p-Laplacian
- Approximation of a nonlinear elliptic problem arising in a non-Newtonian fluid flow model in glaciology
- Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- Asymptotic behaviour of nonlinear eigenvalue problems involving $p$-Laplacian-type operators
- n-Diffusion
- Existence results for the \(p\)-Laplacian with nonlinear boundary conditions
