activity
20162026
most citedSecond-order invariant domain preserving approximation of the compressible Navier--Stokes equations

41 citations · 136 across the 21 of their papers we have counts for

collaborators

23 papers

math.NA2026

A discontinuous Petrov-Galerkin finite-element framework for the simulation of microwave-heated flows

Oreste Marquis, Matthias Maier, Bruno Blais

We present a high-order multiphysics solver for the simulation of microwave-heated flows. The solver couples a discontinuous Petrov-Galerkin (DPG) finite element method for the tim…

physics.flu-dyn2025

Revisiting the Slip Boundary Condition: Surface Roughness as a Hidden Tuning Parameter

Matthias Maier, Peter Munch, Murtazo Nazarov

In this paper, we investigate the effect of boundary surface roughness on numerical simulations of incompressible fluid flow past a cylinder in two and three spatial dimensions fur…

cond-mat.mes-hall2024

Dyakonov-Shur instability of electronic fluid: Spectral effect of weak magnetic field

Matthias Maier, Dennis Corraliza-Rodriguez, Dionisios Margetis

We study numerically and analytically how the Dyakonov-Shur instability for a two-dimensional (2D) inviscid electronic fluid in a long channel can be affected by an external, out-o…

math.NA2023

Shape optimization of optical microscale inclusions

Manaswinee Bezbaruah, Matthias Maier, Winnifried Wollner

This paper describes a class of shape optimization problems for optical metamaterials comprised of periodic microscale inclusions composed of a dielectric, low-dimensional material…

math.NA2022★ 8 cited

Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state

Bennett Clayton, Jean-Luc Guermond, Matthias Maier +2

This paper is concerned with the approximation of the compressible Euler equations supplemented with an arbitrary or tabulated equation of state. The proposed approximation techniq…

math.NA2022★ 8 cited

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.…