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Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs

Journal Article · · Mathematical Modelling and Numerical Analysis
DOI:https://doi.org/10.1051/m2an/2017017· OSTI ID:1540113
 [1]; ;
  1. DOE/OSTI
+ Show Author Affiliations

Not provided.

Research Organization:
Brown Univ., Providence, RI (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
FG02-08ER25863
OSTI ID:
1540113
Journal Information:
Mathematical Modelling and Numerical Analysis, Journal Name: Mathematical Modelling and Numerical Analysis Journal Issue: 5 Vol. 51; ISSN 0764-583X
Publisher:
EDP Sciences
Country of Publication:
United States
Language:
English

References (18)

Local discontinuous Galerkin methods for nonlinear dispersive equations journal May 2004
Efficient time discretization for local discontinuous Galerkin methods journal July 2007
The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems journal December 1998
A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier–Stokes Equations journal March 1997
Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices journal July 2015
A Fully-Discrete Local Discontinuous Galerkin Method for Convection-Dominated Sobolev Equation journal May 2011
Local discontinuous Galerkin methods for the Kuramoto–Sivashinsky equations and the Ito-type coupled KdV equations journal May 2006
Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems journal September 2001
Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit-Explicit Time-Marching for Advection-Diffusion Problems journal January 2015
Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems journal January 2009
A Local Discontinuous Galerkin Method for KdV Type Equations journal January 2002
An Interior Penalty Finite Element Method with Discontinuous Elements journal August 1982
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems journal July 2016
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems journal January 2000
On the boundary value problem of the biharmonic operator on domains with angular corners journal January 1980
Local discontinuous Galerkin methods for the Cahn–Hilliard type equations journal November 2007
Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations journal November 1997
Efficient High Order Semi-implicit Time Discretization and Local Discontinuous Galerkin Methods for Highly Nonlinear PDEs journal February 2016

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Related Subjects

Mathematics