Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

Finite element methods applied to problems in solid mechanics (74S05) Dynamics of phase boundaries in solids (74N20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

$C^0$ interior penalty methods for fourth order elliptic boundary value problems on polygonal domains
A sixth order Cahn-Hilliard type equation arising in oil-water-surfactant mixtures
Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem
Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity
Analysis of an interior penalty method for fourth order problems on polygonal domains
Continuous data assimilation and long-time accuracy in a $C^0$ interior penalty method for the Cahn-Hilliard equation
Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
Post-processing procedures for an elliptic distributed optimal control problem with pointwise state constraints
Two-level additive Schwarz preconditioners for $C^0$ interior penalty methods
C 0 Interior Penalty Methods
Analysis of a Mixed Finite Element Method for a Cahn--Hilliard--Darcy--Stokes System
A $\mathcal{C}^0$ Interior Penalty Method for a Fourth Order Elliptic Singular Perturbation Problem
A Quadratic $C^0$ Interior Penalty Method for Linear Fourth Order Boundary Value Problems with Boundary Conditions of the Cahn--Hilliard Type
Firedrake
Local Discontinuous Galerkin Method and High Order Semi-Implicit Scheme for the Phase Field Crystal Equation
An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
Poincaré–Friedrichs Inequalities for PiecewiseH²Functions
A Quadratic $C^0$ Interior Penalty Method for the Displacement Obstacle Problem of Clamped Kirchhoff Plates
On a Class of Cahn--Hilliard Models with Nonlinear Diffusion
A Quadratic C 0 Interior Penalty Method for an Elliptic Optimal Control Problem with State Constraints
Maximum-Norm Stability, Smoothing and Resolvent Estimates for Parabolic Finite Element Equations
Multigrid Algorithms for C0 Interior Penalty Methods

This page was built for publication: Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions