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JC
2007
160views more  JC 2007»
13 years 7 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
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
SIAMNUM
2011
110views more  SIAMNUM 2011»
13 years 2 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...
SIAMNUM
2010
118views more  SIAMNUM 2010»
13 years 2 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
MOC
2002
127views more  MOC 2002»
13 years 7 months ago
The dynamical behavior of the discontinuous Galerkin method and related difference schemes
We study the dynamical behavior of the discontinuous Galerkin finite element method for initial value problems in ordinary differential equations. We make two different assumptions...
Donald J. Estep, Andrew M. Stuart