31 citations · 95 across the 8 of their papers we have counts for
8 papers
Quasi-static crack propagation with a Griffith criterion using a variational discrete element method
Frédéric Marazzato, Alexandre Ern, Laurent Monasse
A variational discrete element method is applied to simulate quasi-static crack propagation. Cracks are considered to propagate between the mesh cells through the mesh facets. The…
An explicit pseudo-energy conserving time-integration scheme for Hamiltonian dynamics
Frédéric Marazzato, Alexandre Ern, Christian Mariotti +1
We propose a new explicit pseudo-energy and momentum conserving scheme for the time integration of Hamiltonian systems. The scheme, which is formally second-order accurate, is base…
Finite volumes for the Stefan-Maxwell cross-diffusion system
Clément Cancès, Virginie Ehrlacher, Laurent Monasse
The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan-Maxwell model, which describes the evolution of the composition of a multi-co…
A variational discrete element method for quasi-static and dynamic elasto-plasticity
Frédéric Marazzato, Alexandre Ern, Laurent Monasse
We propose a new discrete element method supporting general polyhedral meshes. The method can be understood as a lowest-order discontinuous Galerkin method parametrized by the cont…
An accurate scheme to solve cluster dynamics equations using a Fokker-Planck approach
Thomas Jourdan, Gabriel Stoltz, Frédéric Legoll +1
We present a numerical method to accurately simulate particle size distributions within the formalism of rate equation cluster dynamics. This method is based on a discretization of…
Gradient entropy estimate and convergence of a semi-explicit scheme for diagonal hyperbolic systems
Laurent Monasse, Régis Monneau
In this paper, we consider diagonal hyperbolic systems with monotone continuous initial data. We propose a natural semi-explicit and upwind first order scheme. Under a certain non-…
A conservative coupling algorithm between a compressible flow and a rigid body using an Embedded Boundary method
Laurent Monasse, Virginie Daru, Christian Mariotti +2
This paper deals with a new solid-fluid coupling algorithm between a rigid body and an unsteady compressible fluid flow, using an Embedded Boundary method. The coupling with a rigi…
An energy-preserving Discrete Element Method for elastodynamics
Laurent Monasse, Christian Mariotti
We develop a Discrete Element Method (DEM) for elastodynamics using polyhedral elements. We show that for a given choice of forces and torques, we recover the equations of linear e…