21 citations · 31 across the 5 of their papers we have counts for
6 papers
Structure-preserving finite-element approximations of the magnetic Euler-Poisson equations
Jordan Hoffart, Matthias Maier, John N. Shadid +1
We develop a structure-preserving numerical discretization for the electrostatic Euler-Poisson equations with a given magnetic field. Our focus is on the efficient solution of prob…
Graph-based methods for hyperbolic systems of conservation laws using discontinuous space discretizations
Martin Kronbichler, Matthias Maier, Ignacio Tomas
We present a graph-based numerical method for solving hyperbolic systems of conservation laws using discontinuous finite elements. This work fills important gaps in the theory as w…
First-order greedy invariant-domain preserving approximation for hyperbolic problems: scalar conservation laws, and p-system
Jean-Luc Guermond, Matthias Maier, Bojan Popov +2
The paper focuses on first-order invariant-domain preserving approximations of hyperbolic systems. We propose a new way to estimate the artificial viscosity that has to be added to…
Structure-preserving finite-element schemes for the Euler-Poisson equations
Matthias Maier, John N. Shadid, Ignacio Tomas
We discuss structure-preserving numerical discretizations for repulsive and attractive Euler-Poisson equations that find applications in fluid-plasma and self-gravitation modeling.…
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
Jean-Luc Guermond, Martin Kronbichler, Matthias Maier +2
This paper describes in detail the implementation of a finite element technique for solving the compressible Navier-Stokes equations that is provably robust and demonstrates excell…
The micropolar Navier-Stokes equations: A priori error analysis
Ricardo H. Nochetto, Abner J. Salgado, Ignacio Tomas
The unsteady Micropolar Navier-Stokes Equations (MNSE) are a system of parabolic partial differential equations coupling linear velocity and pressure with angular velocity: materia…