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ICCS
2009
Springer
14 years 2 months ago
A Parallel High-Order Discontinuous Galerkin Shallow Water Model
The depth-integrated shallow water equations are frequently used for simulating geophysical flows, such as storm-surges, tsunamis and river flooding. In this paper a parallel sha...
Claes Eskilsson, Yaakoub El Khamra, David Rideout,...
SIAMNUM
2010
114views more  SIAMNUM 2010»
13 years 2 months ago
A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
We derive a posteriori error estimates for the discretization of the heat equation in a unified and fully discrete setting comprising the discontinuous Galerkin, finite volume, mix...
Alexandre Ern, Martin Vohralík
JSCIC
2008
134views more  JSCIC 2008»
13 years 7 months ago
Discontinuous Hamiltonian Finite Element Method for Linear Hyperbolic Systems
Abstract We develop a Hamiltonian discontinuous finite element discretization of a generalized Hamiltonian system for linear hyperbolic systems, which include the rotating shallow ...
Yan Xu, Jaap J. W. van der Vegt, Onno Bokhove
SIAMSC
2011
105views more  SIAMSC 2011»
13 years 2 months 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
NHM
2010
73views more  NHM 2010»
13 years 2 months ago
The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and la
Abstract. This contribution is concerned with the formulation of a heterogeneous multiscale finite elements method (HMM) for solving linear advectiondiffusion problems with rapidly...
Patrick Henning, Mario Ohlberger