4 papers
Taming Slivers: A Robust TFEM Framework for Reliable Computations on Degenerate Tetrahedral Meshes
Antoine Quiriny, Jonathan Lambrechts, Nicolas Moës +2
Sliver elements are an intrinsic difficulty of three-dimensional tetrahedral mesh generation and remain costly, and sometimes impractical, to eliminate completely. Although isolate…
Godunov-like numerical fluxes for conservation laws on networks
Lukáš Vacek, Václav Kučera
This paper deals with the construction of a discontinuous Galerkin scheme for the solution of Lighthill-Whitham-Richards traffic flows on networks. The focus of the paper is the co…
Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations
Václav Kučera, Mária Lukáčová-Medvid'ová, Sebastian Noelle +1
In this paper we derive and analyse a class of linearly implicit schemes which includes the one of Feistauer and Kučera (JCP 2007) as well as the class of RS-IMEX schemes. The impl…
Discontinuous Galerkin method for macroscopic traffic flow models on networks
Lukáš Vacek, Václav Kučera
In this paper, we describe a numerical technique for the solution of macroscopic traffic flow models on networks of roads. On individual roads, we consider the standard Lighthill-W…