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SIAMNUM
2010
115views more  SIAMNUM 2010»
13 years 5 months ago
Superconvergence of Discontinuous Galerkin and Local Discontinuous Galerkin Schemes for Linear Hyperbolic and Convection-Diffusi
In this paper, we study the superconvergence property for the discontinuous Galerkin (DG) and the local discontinuous Galerkin (LDG) methods, for solving one-dimensional time depe...
Yingda Cheng, Chi-Wang Shu
JSCIC
2007
132views more  JSCIC 2007»
13 years 10 months ago
Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems
We consider a discontinuous Galerkin finite element method for the advection–reaction equation in two space–dimensions. For polynomial approximation spaces of degree greater t...
E. Burman, B. Stamm
JSCIC
2010
150views more  JSCIC 2010»
13 years 5 months ago
A Central Discontinuous Galerkin Method for Hamilton-Jacobi Equations
In this paper, a central discontinuous Galerkin method is proposed to solve for the viscosity solutions of Hamilton-Jacobi equations. Central discontinuous Galerkin methods were or...
Fengyan Li, Sergey Yakovlev
SIAMNUM
2010
137views more  SIAMNUM 2010»
13 years 5 months ago
A Residual-Based A Posteriori Error Estimator for the Stokes-Darcy Coupled Problem
In this paper we develop an a posteriori error analysis of a new conforming mixed finite element method for the coupling of fluid flow with porous media flow. The flows are govern...
Ivo Babuska, Gabriel N. Gatica