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SIAMSC
2008
206views more  SIAMSC 2008»
13 years 4 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
SIAMNUM
2010
118views more  SIAMNUM 2010»
12 years 11 months ago
Discontinuous Galerkin Methods for Solving Elliptic Variational Inequalities
Abstract. We study discontinuous Galerkin methods for solving elliptic variational inequalities, of both the first and second kinds. Analysis of numerous discontinuous Galerkin sch...
Fei Wang, Weimin Han, Xiao-Liang Cheng
SIAMNUM
2011
110views more  SIAMNUM 2011»
12 years 12 months ago
A Posteriori Error Control for Discontinuous Galerkin Methods for Parabolic Problems
We derive energy-norm a posteriori error bounds for an Euler timestepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For acc...
Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virta...
MOC
2010
12 years 11 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
JC
2007
160views more  JC 2007»
13 years 4 months ago
BDDC methods for discontinuous Galerkin discretization of elliptic problems
A discontinuous Galerkin (DG) discretization of Dirichlet problem for second-order elliptic equations with discontinuous coefficients in 2-D is considered. For this discretization...
Maksymilian Dryja, Juan Galvis, Marcus Sarkis