C $$^0$$ -Interior Penalty Discontinuous Galerkin Approximation of a Sixth-Order Cahn-Hilliard Equation Modeling Microemulsification Processes
DOI10.1007/978-3-319-78325-3_16zbMath1418.65131OpenAlexW2883966372MaRDI QIDQ5223293
Ronald H. W. Hoppe, Christopher Linsenmann
Publication date: 17 July 2019
Published in: Computational Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-78325-3_16
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical methods for differential-algebraic equations (65L80)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An adaptive Newton continuation strategy for the fully implicit finite element immersed boundary method
- \(C^0\) 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
- An introduction to Sobolev spaces and interpolation spaces
- High order approximations in space and time of a sixth order Cahn-Hilliard equation
- Convergence analysis of an adaptive interior penalty discontinuous Galerkin method for the biharmonic problem
- On the constants in \(hp\)-finite element trace inverse inequalities.
- 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
- On a class of sixth order viscous Cahn-Hilliard type equations
- An a posteriori error indicator for discontinuous Galerkin approximations of fourth-order elliptic problems
- An a posteriori error estimator for a quadratic C0-interior penalty method for the biharmonic problem
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Poincaré–Friedrichs Inequalities for PiecewiseH2Functions
- On a Class of Cahn--Hilliard Models with Nonlinear Diffusion
- Discontinuous Galerkin methods for the biharmonic problem
- The Mathematical Theory of Finite Element Methods
- A discontinuous Galerkin method for the Cahn-Hilliard equation
- Numerical Methods for Ordinary Differential Equations
This page was built for publication: C $$^0$$ -Interior Penalty Discontinuous Galerkin Approximation of a Sixth-Order Cahn-Hilliard Equation Modeling Microemulsification Processes