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JSCIC
2010
62views more  JSCIC 2010»
13 years 3 days ago
On the Suboptimality of the p-Version Interior Penalty Discontinuous Galerkin Method
Emmanuil H. Georgoulis, Edward J. C. Hall, Jens Ma...
JSCIC
2010
145views more  JSCIC 2010»
13 years 3 days ago
Interior Penalty Continuous and Discontinuous Finite Element Approximations of Hyperbolic Equations
In this paper we present the continuous and discontinuous Galerkin methods in a unified setting for the numerical approximation of the transport dominated advection-reaction equati...
Erik Burman, Alfio Quarteroni, Benjamin Stamm
JSCIC
2007
132views more  JSCIC 2007»
13 years 5 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
APPML
2005
101views more  APPML 2005»
13 years 5 months ago
A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
A posteriori error estimates are derived for unsteady convection-diffusion equations discretized with the non-symmetric interior penalty and the local discontinuous Galerkin metho...
Alexandre Ern, Jennifer Proft
SIAMNUM
2011
110views more  SIAMNUM 2011»
13 years 8 days 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...