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» Spacetime Meshing for Discontinuous Galerkin Methods
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SIAMSC
2010
192views more  SIAMSC 2010»
13 years 4 months ago
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows
In this article we consider the a posteriori error estimation and adaptive mesh refinement of discontinuous Galerkin finite element approximations of the hydrodynamic stability p...
K. Andrew Cliffe, Edward J. C. Hall, Paul Houston
JCAM
2010
116views more  JCAM 2010»
13 years 17 days ago
A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods
A new approach to slope limiting for discontinuous Galerkin methods on arbitrary meshes is introduced. A local Taylor basis is employed to express the approximate solution in term...
Dmitri Kuzmin
JSCIC
2007
89views more  JSCIC 2007»
13 years 5 months ago
Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations
Different time-stepping methods for a nodal high-order discontinuous Galerkin discretisation of the Maxwell equations are discussed. A comparison between the most popular choices o...
D. Sármány, M. A. Botchev, Jaap J. W...
JC
2007
160views more  JC 2007»
13 years 5 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
SIAMSC
2011
105views more  SIAMSC 2011»
13 years 21 days ago
Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Improving Discontinuous Galerkin Solutions
Position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering is a promising technique not only in improving the order of the numerical solution obtained by a disc...
Paulien van Slingerland, Jennifer K. Ryan, C. Vuik