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» A Multiscale Discontinuous Galerkin Method
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JSCIC
2007
89views more  JSCIC 2007»
13 years 7 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...
JSCIC
2007
377views more  JSCIC 2007»
13 years 7 months ago
A Note on Discontinuous Galerkin Divergence-free Solutions of the Navier-Stokes Equations
We present a class of discontinuous Galerkin methods for the incompressible Navier-Stokes equations yielding exactly divergence-free solutions. Exact incompressibility is achieved...
Bernardo Cockburn, Guido Kanschat, Dominik Sch&oum...
APPML
2005
101views more  APPML 2005»
13 years 7 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
2010
169views more  SIAMNUM 2010»
13 years 2 months ago
A Convergent Nonconforming Finite Element Method for Compressible Stokes Flow
We propose a nonconforming finite element method for isentropic viscous gas flow in situations where convective effects may be neglected. We approximate the continuity equation by ...
Kenneth H. Karlsen, Trygve K. Karper
MOC
2011
13 years 2 months ago
Analysis of HDG methods for Stokes flow
Abstract. In this paper, we analyze a hybridizable discontinuous Galerkin method for numerically solving the Stokes equations. The method uses polynomials of degree k for all the c...
Bernardo Cockburn, Jayadeep Gopalakrishnan, Ngoc C...