34 citations · 61 across the 7 of their papers we have counts for
5 papers · 1 filter
Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations
F. Yan, J. J . W. van der Vegt, Y. Xia +1
We develop entropy dissipative higher order accurate local discontinuous Galerkin (LDG) discretizations coupled with Diagonally Implicit Runge-Kutta (DIRK) methods for nonlinear de…
Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements
Kaifang Liu, Dietmar Gallistl, Matthias Schlottbom +1
An error analysis of a mixed discontinuous Galerkin (DG) method with Brezzi numerical flux for the time-harmonic Maxwell equations with minimal smoothness requirements is presented…
New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
S. Geevers, W. A. Mulder, J. J. W. van der Vegt
We present a new accuracy condition for the construction of continuous mass-lumped elements. This condition is less restrictive than the one currently used and enabled us to constr…
Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes
S. Geevers, W. A. Mulder, J. J. W. van der Vegt
We analyse the dispersion properties of two types of explicit finite element methods for modelling acoustic and elastic wave propagation on tetrahedral meshes, namely mass-lumped f…
Sharp Penalty Term and Time Step Bounds for the Interior Penalty Discontinuous Galerkin Method for Linear Hyperbolic Problems
S. Geevers, J. J. W. van der Vegt
We present sharp and sufficient bounds for the interior penalty term and time step size to ensure stability of the Symmetric Interior Penalty Discontinuous Galerkin (SIPDG) method…