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TAPIA
2005
ACM
13 years 10 months ago
Computation of nonclassical shocks using a spacetime discontinuous Galerkin method
We present a numerical study for two systems of conservation laws using a spacetime discontinuous Galerkin (SDG) method with causal spacetime triangulations and the piecewise cons...
Katarina Jegdic
JSCIC
2010
145views more  JSCIC 2010»
13 years 1 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
SIAMSC
2011
85views more  SIAMSC 2011»
12 years 8 months ago
Refinement and Connectivity Algorithms for Adaptive Discontinuous Galerkin Methods
Abstract. Adaptive multiscale methods are among the many effective techniques for the numerical solution of partial differential equations. Efficient grid management is an import...
Kolja Brix, Ralf Massjung, Alexander Voss
SIAMSC
2010
192views more  SIAMSC 2010»
13 years 3 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
SIAMSC
2010
157views more  SIAMSC 2010»
13 years 3 months ago
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations
We propose certified reduced basis methods for the efficient and reliable evaluation of a general output that is implicitly connected to a given parameterized input through the ha...
Yanlai Chen, Jan S. Hesthaven, Yvon Maday, Jer&oac...