Author Publications

2013

Rhebergen, Sander and Cockburn, Bernardo and Vegt van der, Jaap J.W. (2013) A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations. Journal of computational physics, 233 . pp. 339-358. ISSN 0021-9991

2012

Vegt van der, J.J.W. and Rhebergen, S. (2012) hp-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows: Part I: Multilevel analysis. Journal of computational physics, 231 (22). pp. 7537-7563. ISSN 0021-9991

Vegt van der, J.J.W. and Rhebergen, S. (2012) HP-Multigrid as Smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part II: Optimization of the Runge-Kutta smoother. Journal of computational physics, 231 (22). pp. 7564-7583. ISSN 0021-9991

2011

Vegt van der, J.J.W. and Rhebergen, S. (2011) HP-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part II. Optimization of the Runge-Kutta smoother. [Report]

Vegt van der, J.J.W. and Rhebergen, S. (2011) HP-multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part I. Multilevel Analysis. [Report]

Vegt van der, J.J.W. and Rhebergen, S. (2011) Discrete Fourier analysis of multigrid algorithms. [Report]

2010

Rhebergen, S. and Vegt van der, J.J.W. and Ven van der, H. (2010) Multigrid optimization for space-time discontinuous Galerkin discretizations of advection dominated flows. In: ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 113 . Springer-Verlag, Berlin, pp. 257-269. ISBN 9783642037061

Rhebergen, Sander (2010) Discontinuous Galerkin finite element methods for (non)conservative partial differential equations. thesis.

2009

Rhebergen, S. and Bokhove, O. and Vegt van der, J.J.W. (2009) Discontinuous Galerkin finite element method for shallow two-phase flows. Computer Methods in Applied Mechanics and Engineering, 198 (5-8). pp. 819-830. ISSN 0045-7825

2008

Rhebergen, S. and Bokhove, O. and Vegt van der, J.J.W. (2008) Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations. Journal of Computational Physics, 227 (3). pp. 1887-1922. ISSN 0021-9991

Rhebergen, S. and Bokhove, O. and van der Vegt, J.J.W. (2008) Discontinuous Galerkin finite element method for shallow two-phase flows. [Report]

Tassi, P.A. and Rhebergen, S. and Vionnet, C.A. and Bokhove, O. (2008) A discontinuous Galerkin finite element model for river bed evolution under shallow flows. Computer Methods in Applied Mechanics and Engineering, 197 (33-40). pp. 2930-2947. ISSN 0045-7825

2007

Rhebergen, S. and Bokhove, O. and van der Vegt, J.J.W. (2007) Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations. [Report]

Tassi, P.A. and Rhebergen, S. and Vionnet, C.A. and Bokhove, O. (2007) A discontinuous Galerkin finite element model for river bed evolution under shallow flows. [Report]