An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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A two-level enriched finite element method for a mixed problem [PDF]
, 2011 The simplest pair of spaces is made inf-sup stable for the mixed form of the Darcy equation. The key ingredient is to enhance the finite element spaces inside a Petrov-Galerkin framework with functions satisfying element-wise local Darcy problems with ...
Barrenechea, Gabriel +3 more
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An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations [PDF]
, 2008 In this article we propose a new symmetric version of the interior penalty discontinuous Galerkin finite element method for the numerical approximation of the compressible Navier-Stokes equations.
Houston, Paul, Hartmann, Ralf
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Compact and stable discontinuous Galerkin methods for convection-diffusion problems [PDF]
, 2012 We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear convection-diffusion problems together with a detailed comparison to other well-accepted DG methods.
Dedner, A. +3 more
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Discontinuous Galerkin finite element approximation of nonlinear second-order elliptic and hyperbolic systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Christoph Ortner +3 more
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Consistent local projection stabilized finite element methods [PDF]
, 2010 This work establishes a formal derivation of local projection stabilized methods as a result of an enriched Petrov-Galerkin strategy for the Stokes problem.
Barrenechea, Gabriel +3 more
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Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model [PDF]
, 2013 We design consistent discontinuous Galerkin finite element schemes for the approximation of a quasi-incompressible two phase flow model of Allen--Cahn/Cahn--Hilliard/Navier--Stokes--Korteweg type which allows for phase transitions.
Giesselmann, Jan +4 more
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Analysis of the discontinuous Galerkin method for elliptic problems on surfaces [PDF]
, 2013 We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compact smooth connected and oriented surface in ℝ3. An interior penalty (IP) method is introduced on a discrete surface and we derive a priori error estimates ...
Stinner, Björn +5 more
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Interior penalty discontinuous galerkin methods for electromagnetic and acoustic wave equations [PDF]
, 2006 Introduction: In this thesis we present and analyze the numerical approximation of the second order electromagnetic and acoustic wave equation by the interior penalty (IP) discontinuous Galerkin (DG) finite element method (FEM).
Schneebeli, Anna
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Galerkin discontinuous approximation of the MHD equations [PDF]
, 2009 International audienceIn this report, we address several aspects of the approximation of the MHD equations by a Galerkin Discontinuous finite volume schemes. This work has been initiated during a CEMRACS project in july and august 2008 in Luminy.
Sonnendrücker, Eric +5 more
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