54 citations · 299 across the 38 of their papers we have counts for
4 papers · 1 filter
Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model
Jan Giesselmann
We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly a…
Energy consistent discontinuous Galerkin methods for a quasi-incompressible diffuse two phase flow model
Jan Giesselmann, Tristan Pryer
We design consistent discontinuous Galerkin finite element schemes for the approximation of a quasi-incompressible two phase flow model of Allen-Cahn/Cahn-Hilliard/Navier-Stokes-Ko…
Singular limiting induced from continuum solutions and the problem of dynamic cavitation
Jan Giesselmann, Athanasios E. Tzavaras
In the works of K.A. Pericak-Spector and S. Spector \cite{ps88, ps98} a class of self-similar solutions are constructed for the equations of radial isotropic elastodynamics that de…
Geometric Error of Finite Volume Schemes for Conservation Laws on Evolving Surfaces
Jan Giesselmann, Thomas Müller
This paper studies finite volume schemes for scalar hyperbolic conservation laws on evolving hypersurfaces of . We compare theoretical schemes assuming knowledge of a…