178 citations · 922 across the 34 of their papers we have counts for
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High-order discontinuous Galerkin schemes with subcell finite volume limiter and adaptive mesh refinement for a monolithic first-order BSSNOK formulation of the Einstein-Euler equations
Michael Dumbser, Olindo Zanotti, Ilya Peshkov
We propose a high order discontinuous Galerkin (DG) scheme with subcell finite volume (FV) limiter to solve a monolithic first--order hyperbolic BSSNOK formulation of the coupled E…
A well-balanced discontinuous Galerkin method for the first--order Z4 formulation of the Einstein--Euler system
Michael Dumbser, Olindo Zanotti, Elena Gaburro +1
In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein--E…
First-order hyperbolic formulation of the pure tetrad teleparallel gravity theory
Ilya Peshkov, Héctor Olivares, Evgeniy Romenski
This paper presents a derivation of a first-order reduction and 3+1 decomposition of the teleparallel equivalent of general relativity (TEGR) in the pure-tetrad formulation (no spi…
A new first-order formulation of the Einstein equations exploiting analogies with electrodynamics
H. Olivares, I. M. Peshkov, E. R. Most +2
The Einstein and Maxwell equations are both systems of hyperbolic equations which need to satisfy a set of elliptic constraints throughout evolution. However, while electrodynamics…
A new causal general relativistic formulation for dissipative continuum fluid and solid mechanics and its solution with high-order ADER schemes
Ilya Peshkov, Evgeniy Romenski, Francesco Fambri +1
We present a unified causal general relativistic formulation of dissipative and non-dissipative continuum mechanics. The presented theory is the first general relativistic theory t…
A new continuum model for general relativistic viscous heat-conducting media
Evgeniy Romenski, Ilya Peshkov, Michael Dumbser +1
The lack of formulation of macroscopic equations for irreversible dynamics of viscous heat-conducting media compatible with the causality principle of Einstein's Special Relativity…