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» A Multiscale Discontinuous Galerkin Method
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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...
APPML
2010
103views more  APPML 2010»
13 years 7 months ago
A smoothness/shock indicator for the RKDG methods
A smoothness/shock indicator is proposed for the RKDG methods solving nonlinear conservation laws. A few numerical experiments are presented as evidence that the indicator helps in...
David Rumsey, Tong Sun
JSCIC
2007
131views more  JSCIC 2007»
13 years 7 months ago
An Analysis of the Minimal Dissipation Local Discontinuous Galerkin Method for Convection-Diffusion Problems
Abstract. We analyze the so-called the minimal dissipation local discontinuous Galerkin method for convection-diffusion or diffusion problems. The distinctive feature of this met...
Bernardo Cockburn, Bo Dong
COMPGEOM
2004
ACM
13 years 11 months ago
Spacetime meshing with adaptive refinement and coarsening
We propose a new algorithm for constructing finite-element meshes suitable for spacetime discontinuous Galerkin solutions of linear hyperbolic PDEs. Given a triangular mesh of som...
Reza Abedi, Shuo-Heng Chung, Jeff Erickson, Yong F...
ICCS
2009
Springer
14 years 2 months ago
Time Acceleration Methods for Advection on the Cubed Sphere
Climate simulation will not grow to the ultrascale without new algorithms to overcome the scalability barriers blocking existing implementations. Until recently, climate simulation...
R. K. Archibald, Katherine J. Evans, J. B. Drake, ...