24 citations · 65 across the 12 of their papers we have counts for
17 papers
Stability of the P_2 semi-Lagrangian scheme
Roberto Ferretti, Michel Mehrenberger
Among the various space interpolation operators used in high-order semi-Lagrangian schemes, the case of finite element interpolation presents a somewhat incomplete stability theory…
Hermite Semi-Lagrangian schemes on triangular meshes for advection equations
Ali Elarif, Michel Mehrenberger, Laurent Navoret
High-order Hermite semi-Lagrangian schemes on unstructured triangular grids are proposed for advection equations, based on Bell and Argyris finite elements. Nodal semi-Lagrangian s…
A Conservative Cascade Semi-Lagrangian Method for Solving the Vlasov Equation
Chunyang Xu, Michel Mehrenberger, Chang Yang
The cascade remapping method, originally proposed by Nair et al. (2002) for atmospheric modeling, enables efficient and mass conservative semi Lagrangian (SL) transport through suc…
Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry
Pauline Vidal, Emily Bourne, Virginie Grandgirard +2
We present a semi-Lagrangian method for the numerical resolution of Vlasov-type equations on multi-patch meshes. Following N. Crouseilles et al. [A parallel Vlasov solver based on…
Long-time behavior of second order linearized Vlasov-Poisson equations near a homogeneous equilibrium
Joackim Bernier, Michel Mehrenberger
The asymptotic behavior of the solutions of the second order linearized Vlasov-Poisson system around homogeneous equilibria is derived. It provides a fine description of some nonli…
Numerical stability of plasma sheath
Mehdi Badsi, Michel Mehrenberger, Laurent Navoret
We are interested in developing a numerical method for capturing stationary sheaths, that a plasma forms in contact with a metallic wall. This work is based on a bi-species (ion/el…