Multiscale model reduction for the Allen-Cahn problem in perforated domains
From MaRDI portal
Publication:2195896
DOI10.1016/j.cam.2020.113010zbMath1486.65180OpenAlexW3035498537MaRDI QIDQ2195896
Yaoyao Chen, Maria Vasilyeva, Eric T. Chung, Aleksei Tyrylgin
Publication date: 28 August 2020
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113010
multiscale methodperforated domainsGMsFEMAllen-Cahn problemonline local correctiononline multiscale basis functions
Numerical computation of solutions to systems of equations (65H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (3)
Mixed generalized multiscale finite element method for flow problem in thin domains ⋮ Weak and strong averaging principle for a stochastic coupled fast-slow atmosphere-ocean model with non-Lipschitz Lévy noise ⋮ An online generalized multiscale finite element method for heat and mass transfer problem with artificial ground freezing
Cites Work
- Unnamed Item
- Mixed GMsFEM for second order elliptic problem in perforated domains
- On the maximum principle preserving schemes for the generalized Allen-Cahn equation
- Generalized multiscale finite element methods (GMsFEM)
- 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
- Multiscale finite element methods for high-contrast problems using local spectral basis functions
- Multiphase image segmentation using a phase-field model
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Adaptive multiscale model reduction with generalized multiscale finite element methods
- Modeling and computation of two phase geometric biomembranes using surface finite elements
- Error analysis of stabilized semi-implicit method of Allen-Cahn equation
- The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- A continuum model of grain boundaries
- A second order operator splitting method for Allen-Cahn type equations with nonlinear source terms
- Multiscale model reduction for transport and flow problems in perforated domains
- The scalar auxiliary variable (SAV) approach for gradient flows
- Modeling and numerical simulations of dendritic crystal growth
- Geometrical image segmentation by the Allen-Cahn equation
- A phase field concept for multiphase systems
- On the stability and accuracy of partially and fully implicit schemes for phase field modeling
- A SCR-based error estimation and adaptive finite element method for the Allen-Cahn equation
- Fast explicit operator splitting method and time-step adaptivity for fractional non-local Allen-Cahn model
- A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains
- Residual-driven online generalized multiscale finite element methods
- Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models
- An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation
- Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using non-local multi-continuum method (NLMC)
- A generalized multiscale finite element method (GMsFEM) for perforated domain flows with Robin boundary conditions
- Threshold dynamics for the piecewise constant Mumford-Shah functional
- A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow
- Generalized multiscale finite element methods for problems in perforated heterogeneous domains
- Robust A Priori and A Posteriori Error Analysis for the Approximation of Allen–Cahn and Ginzburg–Landau Equations Past Topological Changes
- Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow
- Long Time Numerical Simulations for Phase-Field Problems Using $p$-Adaptive Spectral Deferred Correction Methods
- Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment
- Numerical Studies of Discrete Approximations to the Allen–Cahn Equation in the Sharp Interface Limit
- Numerical Analysis of a Continuum Model of Phase Transition
- Phase-Field Models for Multi-Component Fluid Flows
- Quantitative phase-field modeling of dendritic growth in two and three dimensions
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- An MsFEM Type Approach for Perforated Domains
- Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle
- A Multiscale Method for Porous Microstructures
- A posteriorierror control for the Allen–Cahn problem: circumventing Gronwall's inequality
- Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains
- Color Image Segmentation by the Vector-Valued Allen–Cahn Phase-Field Model: A Multigrid Solution
- Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights
- A Multiscale Finite Element Method for Numerical Homogenization
This page was built for publication: Multiscale model reduction for the Allen-Cahn problem in perforated domains
