My principal fields of interest come from the mathematical analysis
and numerical solution of
Partial Differential Equations from the mathematical physics
(wave equations, compressible fluids) with application mainly to various
problems of interest
arising in Plasma Physics (ICF-Inertial Confinement Fusion and MCF-Magnetic Confinement
Stable coupling of the Yee scheme with a linear current model,
Filipe Da Silva, M. Campos-Pinto, Bruno Després, Stephane Heuraux,
preprint 2014 .
Asymptotic Preserving Schemes on Distorted Meshes for Friedrichs
Systems with Stiff Relaxation: Application to Angular Models in Linear
Journal of Sci. Computing,
online 2014 .
Unconditionally stable numerical simulations of a new generalized reduced resistive magnetohydrodynamics model,
Shiva Kumar Malapaka,
International Journal for Numerical Methods in Fluids,
February 2014 .
Non linear finite volume schemes for the heat equation in 1D, B.D.,
Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes,
Buet, D., Franck, Leroy,
Coupling strategies for compressible - low Mach number flows,
Yohan Penel, Stéphane Dellacherie, B.D.,
A one-mesh method for the cell-centered discretization of slide lines,
Guillaume Clair, B.D., Emmanuel Labourasse,
A generalized plane-wave numerical method for smooth nonconstant coefficients,
IMA online 2013.
Derivation of hierarchies of reduced MHD models in Tokama geometry,
B.D. et Rémy Sart
Hybrid resonance of Maxwell's equations in slab geometry,
B.D., L.M. Imbert-Gérard and R. Weder,