Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes (Q6202805)

scientific article; zbMATH DE number 7824757

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English	Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes	scientific article; zbMATH DE number 7824757

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instance of

scholarly article

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title

Adaptive discontinuous Galerkin finite element methods for the Allen-Cahn equation on polygonal meshes (English)

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26 March 2024

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zbMATH Keywords

Allen-Cahn equation

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discontinuous Galerkin finite element methods

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polygonal mesh adaptation

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fully implicit scheme

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discrete energy dissipation

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s11075-023-01635-5

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cites work

A phase-field method for the direct simulation of two-phase flows in pore-scale media using a non-equilibrium wetting boundary condition

0 references

A high-order discontinuous Galerkin approach to the elasto-acoustic problem

0 references

A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids

0 references

Machine learning based refinement strategies for polyhedral grids with applications to virtual element and polyhedral discontinuous Galerkin methods

0 references

High–order Discontinuous Galerkin Methods on Polyhedral Grids for Geophysical Applications: Seismic Wave Propagation and Fractured Reservoir Simulations

0 references

Discontinuous Galerkin Approximation of Flows in Fractured Porous Media on Polytopic Grids

0 references

Unified analysis of discontinuous Galerkin approximations of flows in fractured porous media on polygonal and polyhedral grids

0 references

Polytopic discontinuous Galerkin methods for the numerical modelling of flow in porous media with networks of intersecting fractures

0 references

$hp$-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains

0 references

Q3618399

0 references

Multigrid algorithms for $hp$-version interior penalty discontinuous Galerkin methods on polygonal and polyhedral meshes

0 references

Fast numerical integration on polytopic meshes with applications to discontinuous Galerkin finite element methods

0 references

An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids

0 references

Refinement of polygonal grids using convolutional neural networks with applications to polygonal discontinuous Galerkin and virtual element methods

0 references

Stability analysis of polytopic discontinuous Galerkin approximations of the Stokes problem with applications to fluid-structure interaction problems

0 references

High-order discontinuous Galerkin methods for the elastodynamics equation on polygonal and polyhedral meshes

0 references

A discontinuous Galerkin time integration scheme for second order differential equations with applications to seismic wave propagation problems

0 references

A high-order discontinuous Galerkin method for nonlinear sound waves

0 references

Algebraic Multigrid Schemes for High-Order Nodal Discontinuous Galerkin Methods

0 references

$V$-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes

0 references

A mixed discontinuous Galerkin, convex splitting scheme for a modified Cahn-Hilliard equation and an efficient nonlinear multigrid solver

0 references

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

0 references

Finite Element Approximation of the Cahn--Hilliard Equation with Degenerate Mobility

0 references

Finite Element Approximations of the Ericksen–Leslie Model for Nematic Liquid Crystal Flow

0 references

Geometrical image segmentation by the Allen-Cahn equation

0 references

Free Energy of a Nonuniform System. I. Interfacial Free Energy

0 references

On the stability of continuous-discontinuous Galerkin methods for advection-diffusion-reaction problems

0 references

$hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes

0 references

ℎ𝑝-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements

0 references

<i>hp</i>-Version discontinuous Galerkin methods for advection-diffusion-reaction problems on polytopic meshes

0 references

hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes

0 references

$hp$-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems

0 references

hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes

0 references

Discontinuous Galerkin Methods for Mass Transfer through Semipermeable Membranes

0 references

Discontinuous Galerkin methods for fast reactive mass transfer through semi-permeable membranes

0 references

Adaptive discontinuous Galerkin methods for nonstationary convection-diffusion problems

0 references

A posteriori error estimates for the virtual element method

0 references

A posteriori error analysis for implicit-explicit \textit{hp}-discontinuous Galerkin timestepping methods for semilinear parabolic problems

0 references

Adaptive discontinuous Galerkin methods for elliptic interface problems

0 references

Convergence of an adaptive discontinuous Galerkin method for elliptic interface problems

0 references

Adaptive non-hierarchical Galerkin methods for parabolic problems with application to moving mesh and virtual element methods

0 references

Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models

0 references

Mathematical Models for Local Nontexture Inpaintings

0 references

Optimal error estimates for the scalar auxiliary variable finite-element schemes for gradient flows

0 references

A numerical method for a model of two-phase flow in a coupled free flow and porous media system

0 references

Multiple Scalar Auxiliary Variable (MSAV) Approach and its Application to the Phase-Field Vesicle Membrane Model

0 references

Adaptive refinement for $hp$-version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem

0 references

Q5441469

0 references

Discontinuous Galerkin Methods for the Biharmonic Problem on Polygonal and Polyhedral Meshes

0 references

Robust interior penalty discontinuous Galerkin methods

0 references

GPU-Accelerated Discontinuous Galerkin Methods on Polytopic Meshes

0 references

Recovered finite element methods on polygonal and polyhedral meshes

0 references

Residual-Based A Posteriori Error Estimates for $hp$-Discontinuous Galerkin Discretizations of the Biharmonic Problem

0 references

Threshold dynamics for the piecewise constant Mumford-Shah functional

0 references

Phase transitions and generalized motion by mean curvature

0 references

Analysis of finite element approximations of a phase field model for two-phase fluids

0 references

Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition

0 references

Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow

0 references

Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

0 references

Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation

0 references

A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow

0 references

An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods

0 references

Discontinuous Galerkin Discretization and $hp$-Refinement for the Resolution of the Neutron Transport Equation

0 references

A finite volume/discontinuous Galerkin method for the advective Cahn-Hilliard equation with degenerate mobility on porous domains stemming from micro-CT imaging

0 references

A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow

0 references

Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn--Hilliard--Navier--Stokes--Darcy Phase Field Model

0 references

A second-order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system

0 references

Time discretizations of anisotropic Allen-Cahn equations

0 references

High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

0 references

Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

0 references

$hp$-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems

0 references

An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system

0 references

Numerical analysis of fully discretized Crank-Nicolson scheme for fractional-in-space Allen-Cahn equations

0 references

An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

0 references

A Highly Efficient and Accurate New Scalar Auxiliary Variable Approach for Gradient Flows

0 references

Energy Stable Discontinuous Galerkin Finite Element Method for the Allen–Cahn Equation

0 references

Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection

0 references

Phase-Field Models for Multi-Component Fluid Flows

0 references

Numerical analysis of a second-order IPDGFE method for the Allen-Cahn equation and the curvature-driven geometric flow

0 references

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model

0 references

An arbitrary-order discontinuous Galerkin method with one unknown per element

0 references

Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation

0 references

Energy stability and convergence of SAV block-centered finite difference method for gradient flows

0 references

Multiphase image segmentation using a phase-field model

0 references

An unconditionally stable hybrid method for image segmentation

0 references

On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation

0 references

A binary level set model and some applications to Mumford-Shah image segmentation

0 references

An energy law preserving $C^0$ finite element scheme for simulating the kinematic effects in liquid crystal dynamics

0 references

Numerical error analysis for nonsymmetric interior penalty discontinuous Galerkin method of Cahn–Hilliard equation

0 references

An efficient numerical algorithm for solving viscosity contrast Cahn-Hilliard-Navier-Stokes system in porous media

0 references

Stabilized semi-implicit spectral deferred correction methods for Allen-Cahn and Cahn-Hilliard equations

0 references

Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation

0 references

Interior penalty discontinuous Galerkin method on very general polygonal and polyhedral meshes

0 references

Shape regularity conditions for polygonal/polyhedral meshes, exemplified in a discontinuous Galerkin discretization

0 references

On the hyperbolicity of the two-fluid model for gas-liquid bubbly flows

0 references

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

0 references

On the maximum principle preserving schemes for the generalized Allen-Cahn equation

0 references

Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows

0 references

The scalar auxiliary variable (SAV) approach for gradient flows

0 references

A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows

0 references

Numerical approximations of Allen-Cahn and Cahn-Hilliard equations

0 references

Symmetric interior penalty Galerkin method for fractional-in-space phase-field equations

0 references

A diffuse interface method for the Navier-Stokes/Darcy equations: perfusion profile for a patient-specific human liver based on MRI scans

0 references

\texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab

0 references

Efficient numerical methods for phase-field equations

0 references

Implicit-Explicit Scheme for the Allen-Cahn Equation Preserves the Maximum Principle

0 references

An $h-$ adaptive local discontinuous Galerkin method for simulating wormhole propagation with Darcy-Forcheiner model

0 references

An $h$-adaptive local discontinuous Galerkin method for the Navier-Stokes-Korteweg equations

0 references

Adaptive discontinuous Galerkin finite elements for advective Allen-Cahn equation

0 references

Translation of J. D. van der Waals' ``The thermodynamic theory of capillarity under the hypothesis of a continuous variation of density''

0 references

A modified fixed-point iterative algorithm for image restoration using fourth-order PDE model

0 references

Local discontinuous Galerkin methods for the Cahn-Hilliard type equations

0 references

Q5268603

0 references

On the stability and accuracy of partially and fully implicit schemes for phase field modeling

0 references

Efficient and linear schemes for anisotropic Cahn-Hilliard model using the stabilized-invariant energy quadratization (S-IEQ) approach

0 references

Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation

0 references

A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows

0 references

Error analysis of stabilized semi-implicit method of Allen-Cahn equation

0 references

Convergence analysis for the invariant energy quadratization (IEQ) schemes for solving the Cahn-Hilliard and Allen-Cahn equations with general nonlinear potential

0 references

Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

0 references

On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

0 references

Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method

0 references

A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity

0 references

The Concave-Convex Procedure

0 references

Interior Penalty Discontinuous Galerkin Based Isogeometric Analysis for Allen-Cahn Equations on Surfaces

0 references

Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

0 references

Decoupled, energy stable schemes for a phase-field surfactant model

0 references

A Polygonal Discontinuous Galerkin Formulation for Contact Mechanics in Fluid-Structure Interaction Problems

0 references

Identifiers

Mathematics Subject Classification ID

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10.1007/S11075-023-01635-5

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Mathematics(1 entry)

mardi Publication:6202805