skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Unconditional Energy Stability Analysis of a Second Order Implicit–Explicit Local Discontinuous Galerkin Method for the Cahn–Hilliard Equation

Journal Article · · Journal of Scientific Computing
;

Not provided.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
FG02-08ER25863
OSTI ID:
1537762
Journal Information:
Journal of Scientific Computing, Vol. 73, Issue 2-3; ISSN 0885-7474
Publisher:
Springer
Country of Publication:
United States
Language:
English

References (24)

Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems journal January 2002
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations journal November 1997
Implicit-Explicit Methods for Time-Dependent Partial Differential Equations journal June 1995
A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations journal March 1997
Nonlinear Schrödinger evolution equations journal January 1980
Free Energy of a Nonuniform System. I. Interfacial Free Energy journal February 1958
Conservative nonlinear difference scheme for the Cahn-Hilliard equation—II journal January 2000
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems journal December 1998
A stable and conservative finite difference scheme for the Cahn-Hilliard equation journal February 2001
Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems journal January 2009
A Nonconforming Finite-Element Method for the Two-Dimensional Cahn–Hilliard Equation journal August 1989
Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation journal May 1992
Computation of Two-Phase Biomembranes with Phase DependentMaterial Parameters Using Surface Finite Elements journal February 2013
Unconditionally Gradient Stable Time Marching the Cahn-Hilliard Equation journal January 1998
Nonlinear stability of the implicit-explicit methods for the Allen-Cahn equation journal August 2013
Efficient Solvers of Discontinuous Galerkin Discretization for the Cahn–Hilliard Equations journal June 2013
On large time-stepping methods for the Cahn–Hilliard equation journal May 2007
On Second Order Semi-implicit Fourier Spectral Methods for 2D Cahn–Hilliard Equations journal August 2016
An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models journal January 2011
Numerical approximations of Allen-Cahn and Cahn-Hilliard equations journal June 2010
Energy stable and large time-stepping methods for the Cahn–Hilliard equation journal October 2014
Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models journal January 2006
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems journal July 2016
An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation journal April 2012

Similar Records

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs
Journal Article · Fri Sep 01 00:00:00 EDT 2017 · Mathematical Modelling and Numerical Analysis · OSTI ID:1537762
Stability analysis and error estimates of local discontinuous Galerkin methods with implicit–explicit time-marching for nonlinear convection–diffusion problems
Journal Article · Fri Jan 01 00:00:00 EST 2016 · Applied Mathematics and Computation · OSTI ID:1537762
Local discontinuous Galerkin methods with implicit-explicit time-marching for time-dependent incompressible fluid flow
Journal Article · Fri Mar 16 00:00:00 EDT 2018 · Mathematics of Computation · OSTI ID:1537762
+1 more

Related Subjects

Mathematics