[13] S. Rhebergen and G.N. Wells, A hybridizable discontinuous Galerkin method for the Navier--Stokes equations with pointwise divergence-free velocity field, 2017. [preprint]

[12] S. Rhebergen and G.N. Wells, Analysis of a hybridized/interface stabilized finite element method for the Stokes equations, SIAM J. Numer. Anal., 55/4 (2017), pp. 1982-2003. [paper] [preprint]

[11] L. Alisic, S. Rhebergen, J.F. Rudge, R.F. Katz and G.N. Wells, Torsion of a cylinder of partially molten mantle with a spherical inclusion: theory and simulation, Geochem. Geophys. Geosyst., 17 (2016), pp. 143-161. [paper] [preprint]

[10] S. Rhebergen, G.N. Wells, A.J. Wathen and R.F. Katz, Three-field block-preconditioners for models of coupled magma/mantle dynamics, SIAM J. Sci. Comput., 37/5 (2015), pp. A2270-A2294. [paper] [preprint] [code] [code]

[9] S. Rhebergen, G.N. Wells, R.F. Katz and A.J. Wathen, Analysis of block-preconditioners for models of coupled magma/mantle dynamics, SIAM J. Sci. Comput., 36/4 (2014), pp. A1960-A1977. [paper] [preprint] [code]

[8] L. Alisic, J.F. Rudge, R.F. Katz, G.N. Wells and S. Rhebergen, Compaction around a rigid, circular inclusion in partially molten rock, J. Geophys. Res. Solid Earth, 119 (2014), pp. 5903-5920. [paper] [preprint] [code]

[7] S. Rhebergen, B. Cockburn and J.J.W. van der Vegt, A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations, J. Comput. Phys., 233 (2013), pp. 339-358. [paper]

[6] J.J.W. van der Vegt and S. Rhebergen, hp-Multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part I. Multilevel analysis, J. Comput. Phys., 231/22 (2012), pp. 7537-7563. [paper] [preprint]

[5] J.J.W. van der Vegt and S. Rhebergen, hp-Multigrid as smoother algorithm for higher order discontinuous Galerkin discretizations of advection dominated flows. Part II. Optimization of the Runge-Kutta smoother, J. Comput. Phys., 231/22 (2012), pp. 7564-7583. [paper] [preprint]

[4] S. Rhebergen and B. Cockburn, A space-time hybridizable discontinuous Galerkin method for incompressible flows on deforming domains, J. Comput. Phys., 231/11 (2012), pp. 4185-4204. [paper]

[3] S. Rhebergen, O. Bokhove and J.J.W. van der Vegt, Discontinuous Galerkin finite element method for shallow two-phase flows, Comput. Methods Appl. Mech. Engrg., 198 (2009), pp. 819-830. [paper] [preprint]

[2] P.A. Tassi, S. Rhebergen, C.A. Vionnet and O. Bokhove, A discontinuous Galerkin finite element model for river bed evolution under shallow flows, Comput. Methods Appl. Mech. Engrg., 197 (2008), pp. 2930-2947. [paper] [preprint]

[1] S. Rhebergen, O. Bokhove and J.J.W. van der Vegt, Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations, J. Comput. Phys., 227/3 (2008), pp. 1887-1922. [paper] [preprint]

[2] S. Rhebergen and B. Cockburn, Space-time hybridizable discontinuous Galerkin method for the advection-diffusion equation on moving and deforming meshes, In C.A. de Moura and C.S. Kubrusly, editors, The Courant-Friedrichs-Lewy (CFL) condition, 80 years after its discovery, pp. 45-63, Birkhauser Science, 2013. [paper]

[1] S. Rhebergen, J.J.W. van der Vegt and H. van der Ven, Multigrid optimization for space-time discontinuous Galerkin discretizations of advection dominated flows, In N. Kroll, H. Bieler, H. Deconinck, V. Couallier, H. Van der Ven and K. Sorensen, editors, ADIGMA - A European initiative on the development of adaptive higher-order variational methods for aerospace applications, Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Volume 113, pp. 257-269, 2010. [paper] [preprint]

S. Rhebergen, Discontinuous Galerkin finite element methods for (non)conservative partial differential equations, Ph.D. Thesis, University of Twente, 2010. [thesis]
PhD Thesis was chosen to represent the faculty of Electrical Engineering, Mathematics and Computer Science in the Overijssel PhD award 2011.

[2] S. Rhebergen, Well-balanced r-adaptive and moving mesh space-time discontinuous Galerkin method for the shallow water equations, 2013. [report]

[1] J.J.W. van der Vegt and S. Rhebergen, Discrete Fourier analysis of multigrid algorithms, Von Karman Institute lecture notes (2011). [notes]