research
∙
06/23/2023
Shape optimization of optical microscale inclusions
This paper describes a class of shape optimization problems for optical ...
share
research
∙
07/26/2022
Robust second-order approximation of the compressible Euler equations with an arbitrary equation of state
This paper is concerned with the approximation of the compressible Euler...
research
∙
07/16/2022
Local-in-time structure-preserving finite-element schemes for the Euler-Poisson equations
We discuss structure-preserving numerical discretizations for repulsive ...
research
∙
06/03/2021
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations
This paper describes in detail the implementation of a finite element te...
research
∙
09/13/2020
Second-order invariant domain preserving approximation of the compressible Navier–Stokes equations
We present a fully discrete approximation technique for the compressible...
research
∙
06/30/2020
Efficient parallel 3D computation of the compressible Euler equations with an invariant-domain preserving second-order finite-element scheme
We discuss the efficient implementation of a high-performance second-ord...
research
∙
03/14/2020
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides
We discuss a quartic eigenvalue problem arising in the context of an opt...
research
∙
10/24/2019
The deal.II finite element library: design, features, and insights
deal.II is a state-of-the-art finite element library focused on generali...
research
∙
10/24/2019