1 citations · 1 across the 4 of their papers we have counts for
6 papers
A posteriori existence for the Keller-Segel model via a finite volume - finite element scheme
Marc Hoffmann, Jan Giesselmann
We derive two forms of conditional a posteriori error estimates for a finite volume scheme approximating the parabolic-elliptic Keller-Segel system. The estimates control the error…
Convergence of a Finite Volume Scheme for the Navier-Stokes-Korteweg Model via Dissipative Solutions
Jan Giesselmann, Philipp Ãffner, Robert Sauerborn
We propose a concept of dissipative weak (DW) solutions for the Navier-Stokes-Korteweg (NSK) system and prove conditional convergence of a structure-preserving finite volume scheme…
A Posteriori Error Analysis of Runge-Kutta Discontinuous Galerkin Schemes with SIAC Post-Processing for Nonlinear Convection-Diffusion Systems
Jan Giesselmann, Kiwoong Kwon, Sebastian Krumscheid
We develop reliable a posteriori error estimators for fully discrete Runge-Kutta discontinuous Galerkin approximations of nonlinear convection-diffusion systems endowed with a conv…
Convergence analysis for a finite-volume scheme for the Euler- and Navier-Stokes-Korteweg system via energy-variational solutions
Thomas Eiter, Jan Giesselmann, Robert Lasarzik +2
We consider a structure-preserving finite-volume scheme for the Euler-Korteweg (EK) and Navier-Stokes-Korteweg (NSK) equations. We prove that its numerical solutions converge to en…
Convergence Analysis of a Fully Discrete Observer For Data Assimilation of the Barotropic Euler Equations
Aidan Chaumet, Jan Giesselmann
We study the convergence of a discrete Luenberger observer for the barotropic Euler equations in one dimension, for measurements of the velocity only. We use a mixed finite element…
On the consistency of the Domain of Dependence cut cell stabilization
Gunnar Birke, Christian Engwer, Jan Giesselmann +1
So called cartesian cut cell meshes provide efficient ways to generate meshes but do require tailored numerical methods to not suffer from stabilization issues, especially in the h…