5 papers
A posteriori existence of strong solutions to the Navier-Stokes equations in 3D
Aaron Brunk, Jan Giesselmann, Tabea Tscherpel
Global existence of strong solutions to the three-dimensional incompressible Navier-Stokes equations remains an open problem. A posteriori existence results offer a way to rigorous…
Error analysis of a first-order DoD cut cell method for 2D unsteady advection
Gunnar Birke, Christian Engwer, Jan Giesselmann +1
In this work we present an a priori error analysis for solving the unsteady advection equation on cut cell meshes along a straight ramp in two dimensions. The space discretization…
Robust a posteriori error control for the Allen-Cahn equation with variable mobility
Aaron Brunk, Jan Giesselmann, Maria Lukacova-Medvidova
In this work, we derive a -robust a posteriori error estimator for finite element approximations of the Allen-Cahn equation with variable non-degenerate mobility. The estimator…
Relative entropy technique in terms of position and momentum and its application to Euler-Poisson system
Jan Giesselmann, Kiwoong Kwon, Min-Gi Lee
This paper presents a systematic study of the relative entropy technique for compressible motions of continuum bodies described as Hamiltonian flows. While the description for the…
Numerical Discretisation of Hyperbolic Systems of Moment Equations Describing Sedimentation in Suspensions of Rod-Like Particles
Sina Dahm, Jan Giesselmann, Christiane Helzel
We present a numerical discretisation of the coupled moment systems, previously introduced in Dahm and Helzel, which approximate the kinetic multi-scale model by Helzel and Tzavara…