Flux limiting for hyperbolic systems requires a careful generalization of the design principles and algorithms introduced in the context of scalar conservation laws. In this chapter, we developâ€¦ (More)

The derivation of macroscopic models for particle-laden gas flows is reviewed. Semi-implicit and Newton-like finite element methods are developed for the stationary two-fluid model governingâ€¦ (More)

Semi-implicit and Newton-like finite element methods are developed for the stationary compressible Euler equations. The Galerkin discretization of the inviscid fluxes is potentially oscillatory andâ€¦ (More)

A macroscopic two-fluid model of compressible particle-laden gas flows is considered. The governing equations are discretized by a high-resolution finite element method based on algebraic fluxâ€¦ (More)

Semi-implicit and Newton-like finite element methods are de veloped for the stationary compressible Euler equations. The Galerkin discretization of the inviscid flux es is potentially oscillatory andâ€¦ (More)

An approximate Riemann solver for the Aw-Rascle traffic flow model and the extension of Greenberg is constructed on the algebraic level. A discrete diffusion operator is added to the (oscillatory)â€¦ (More)