18 citations · 19 across the 11 of their papers we have counts for
11 papers
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…
A priori error estimates of Runge-Kutta discontinuous Galerkin schemes to smooth solutions of fractional conservation laws
Fabio Leotta, Jan Giesselmann
We give a priori error estimates of second order in time fully explicit Runge-Kutta discontinuous Galerkin schemes using upwind fluxes to smooth solutions of scalar fractional cons…
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…
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model
Jan Giesselmann, Niklas Kolbe
We study a finite volume scheme approximating a parabolic-elliptic Keller-Segel system with power law diffusion with exponent and periodic boundary conditions. We deri…