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» A Multiscale Discontinuous Galerkin Method
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MOC
1998
90views more  MOC 1998»
13 years 7 months ago
Numerical solution of parabolic integro-differential equations by the discontinuous Galerkin method
The numerical solution of a parabolic equation with memory is considered. The equation is first discretized in time by means of the discontinuous Galerkin method with piecewise co...
Stig Larsson, Vidar Thomée, Lars B. Wahlbin
MOC
2002
81views more  MOC 2002»
13 years 7 months ago
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problem
We study the convergence properties of the hp-version of the local discontinuous Galerkin finite element method for convection-diffusion problems; we consider a model problem in a ...
Paul Castillo, Bernardo Cockburn, Dominik Schö...
MOC
2010
13 years 2 months ago
hp-Optimal discontinuous Galerkin methods for linear elliptic problems
Abstract. The aim of this paper is to present and analyze a class of hpversion discontinuous Galerkin (DG) discretizations for the numerical approximation of linear elliptic proble...
Benjamin Stamm, Thomas P. Wihler
SIAMSC
2008
108views more  SIAMSC 2008»
13 years 7 months ago
Automated Code Generation for Discontinuous Galerkin Methods
A compiler approach for generating low-level computer code from high-level input for discontinuous Galerkin finite element forms is presented. The input language mirrors convention...
Kristian B. Ølgaard, Anders Logg, Garth N. ...
SIAMSC
2008
206views more  SIAMSC 2008»
13 years 7 months ago
The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems
We present a compact discontinuous Galerkin (CDG) method for an elliptic model problem. The problem is first cast as a system of first order equations by introducing the gradient o...
Jaime Peraire, Per-Olof Persson