54 citations · 299 across the 38 of their papers we have counts for
6 papers · 1 filter
The problem of dynamic cavitation in nonlinear elasticity
Jan Giesselmann, Alexey Miroshnikov, Athanasios E. Tzavaras
The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example…
A posteriori analysis of discontinuous Galerkin schemes for systems of hyperbolic conservation laws
Jan Giesselmann, Charalambos Makridakis, Tristan Pryer
In this work we construct reliable a posteriori estimates for some discontinuous Galerkin schemes applied to nonlinear systems of hyperbolic conservation laws. We make use of appro…
Modeling of compressible electrolytes with phase transition
Wolfgang Dreyer, Jan Giesselmann, Christiane Kraus
A novel thermodynamically consistent diffuse interface model is derived for compressible electrolytes with phase transitions. The fluid mixtures may consist of N constituents with…
Relative entropy in multi-phase models of 1d elastodynamics: Convergence of a non-local to a local model
Jan Giesselmann
In this paper we study a local and a non-local regularization of the system of nonlinear elastodynamics with a non-convex energy. We show that solutions of the non-local model conv…
Reduced relative entropy techniques for a posteriori analysis of multiphase problems in elastodynamics
Jan Giesselmann, Tristan Pryer
We give an a posteriori analysis of a semi-discrete discontinuous Galerkin scheme approximating solutions to a model of multiphase elastodynamics, which involves an energy density…
Reduced relative entropy techniques for a priori analysis of multiphase problems in elastodynamics
Jan Giesselmann, Tristan Pryer
We give an a priori analysis of a semi-discrete discontinuous Galerkin scheme approximating solutions to a model of multiphase elastodynamics which involves an energy density depen…