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Classification: MSC-65M60
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2012

Sármány, D. and Botchev, M.A. and van der Vegt, J.J.W. (2012) Time-integration methods for finite element discretisations of the second-order Maxwell equation. Memorandum 1975, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2011

van der Vegt, J.J.W. and Rhebergen, S. (2011) Discrete Fourier analysis of multigrid algorithms. Memorandum 1957, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
van der Vegt, 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. Memorandum 1955, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
van der Vegt, 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. Memorandum 1956, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2009

Botchev, M.A. and Faragó, I. and Horváth, R. (2009) Application of operator splitting to the Maxwell equations including a source term. Applied Numerical Mathematics, 59 (3-4). pp. 522-541. ISSN 0168-9274 *** ISI Impact 1,414 ***
Rhebergen, S. and Bokhove, O. and van der Vegt, 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 *** ISI Impact 3,467 ***
Sármány, D. and Botchev, M.A. and van der Vegt, J.J.W. and Verwer, J.G. (2009) Comparing DG and Nedelec finite element discretisations of the second-order time-domain Maxwell equation. Memorandum 1912, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2008

Ambati, V.R. and van der Vegt, J.J.W. and Bokhove, O. (2008) Variational space-time (dis)continuous Galerkin method for linear free surface waves. Memorandum 1863, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
Rhebergen, S. and Bokhove, O. and van der Vegt, 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 *** ISI Impact 2,556 ***
Rhebergen, S. and Bokhove, O. and van der Vegt, J.J.W. (2008) Discontinuous Galerkin finite element method for shallow two-phase flows. Memorandum 1873, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2007

Ambati, V.R. and Bokhove, O. (2007) Space-time discontinuous Galerkin finite element method for shallow water flows. Journal of computational and applied mathematics, 204 (2). pp. 452-462. ISSN 0377-0427 *** ISI Impact 1,328 ***
Rhebergen, S. and Bokhove, O. and van der Vegt, J.J.W. (2007) Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations. Memorandum 1820, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
Sármány, D. and Botchev, M.A. and van der Vegt, J.J.W. (2007) Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations. Journal of scientific computing, 33 (1). pp. 47-74. ISSN 0885-7474 *** ISI Impact 1,946 ***
Sármány, D. and Botchev, M.A. and van der Vegt, J.J.W. (2007) Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisation of the Maxwell eqations. Memorandum 1821, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850
van der Vegt, J.J.W. and Izsák, F. and Bokhove, O. (2007) Error analysis of a continuous-discontinous Galerkin finite element model for generalized 2D vorticity dynamics. SIAM Journal on Numerical Analysis, 45 (4). pp. 1349-1369. ISSN 0036-1429 *** ISI Impact 1,899 ***
van der Vegt, J.J.W. and Xu, Yan (2007) Space-time discontinuous Galerkin method for nonlinear water waves. Journal of computational physics, 224 (1). pp. 17-39. ISSN 0021-9991 *** ISI Impact 2,556 ***
Xu, Yan and Shu, C.-W. (2007) Error estimates of the semi-discrete local discontinuous Galerkin method for nonlinear convection-diffusion and KdV equations. Computer Methods in Applied Mechanics and Engineering, 196 (37-40). pp. 3805-3822. ISSN 0045-7825 *** ISI Impact 3,467 ***

2006

Polner, M.A. and van der Vegt, J.J.W. and van Damme, R.M.J. (2006) Analysis of stabilization operators for Galerkin least-squares discretizations of the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering, 195 (9-12). pp. 982-1006. ISSN 0045-7825 *** ISI Impact 3,467 ***
Sudirham, J.J. and van der Vegt, J.J.W. and van Damme, R.M.J. (2006) Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains. Applied Numerical Mathematics, 56 (12). pp. 1491-1518. ISSN 0168-9274 *** ISI Impact 1,414 ***
Xu, Yan and Shu, C.-W. (2006) Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations. Computer Methods in Applied Mechanics and Engineering, 195 (25-28). pp. 3430-3447. ISSN 0045-7825 *** ISI Impact 3,467 ***

2005

Klaij, C.M. and van der Vegt, J.J.W. and van der Ven, H. (2005) Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations. Memorandum 1774, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
Klaij, C.M. and van der Vegt, J.J.W. and van der Ven, H. (2005) Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations. Memorandum 1782, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van der Vegt, J.J.W. and Izsák, F. and Bokhove, O. (2005) Error analysis of a continuous-discontinuous Galerkin finite element method for generalized 2D vorticity dynamics. Memorandum 1759, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
van der Ven, H. and Boelens, O.J. and Klaij, C.M. and van der Vegt, J.J.W. (2005) Extension of a discontinuous Galerkin finite element method to viscous rotor flow simulations. Memorandum 1775, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

2004

Sudirham, J.J. and van Damme, R.M.J. and van der Vegt, J.J.W. (2004)
Space-time discontinuous Galerkin method for wet-chemical etching of microstructures.
Memorandum 1720, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
Sudirham, J.J. and van der Vegt, J.J.W. and van Damme, R.M.J. (2004)
Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains.
Memorandum 1719, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
Sudirham, J.J. and van der Vegt, J.J.W. and van Damme, R.M.J. (2004)
Space-time discontinuous Galerkin method for parabolic problems in time-dependent domains Part II. Analysis.
Memorandum 1733, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

2003

Bokhove, O. (2003) Flooding and drying in finite-element discretizations of shallow-water equations. Part 1: One dimension. Memorandum 1683, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690
Bokhove, O. (2003) Flooding and drying in finite-element discretizations of shallow-water equations. Part 2: Two dimensions. Memorandum 1684, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690