178 citations · 922 across the 34 of their papers we have counts for
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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 cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes
Walter Boscheri, Simone Chiocchetti, Ilya Peshkov
A cell-centered implicit-explicit updated Lagrangian finite volume scheme on unstructured grids is proposed for a unified first order hyperbolic formulation of continuum fluid and…
Two-phase hyperbolic model for porous media saturated with a viscous fluid and its application to wavefields simulation
Evgeniy Romenski, Galina Reshetova, Ilya Peshkov
We derive and study a new hyperbolic two-phase model of a porous deformable medium saturated by a viscous fluid. The governing equations of the model are derived in the framework o…