Publications

  • Pseudo-spectral methods for the Laplace-Beltrami equation and the Hodge decomposition on surfaces of genus one , (link). LMIG, L. GREENGARD. Numerical Methods for PDEs, 33: 941–955.
  • Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves, (link). LMIG, P. MONK. ESAIM: M2AN, 51 4 (2017) 1387-1406.
  • Fast, adaptive, high order accurate discretization of the Lippmann-Schwinger equation in two dimensions, (link). S. AMBIKASARAN, C. BORGES, LMIG, L. GREENGARD. SIAM J. Sci. Comput., 38(3), A1770–A1787 (link).
  • Well-posedness and generalized plane waves simulations of a 2D mode conversion model, (link). LMIG. JCP (2015), pp. 105-124.
  • Solutions to the cold plasma model at resonances, (link). B. DESPRES, LMIG, O. LAFITTE. Journal de l'École polytechnique — Mathématiques, 4 (2017), p. 177-222.
  • A numerical study of the solution of X-mode equations around a hybrid resonance, (link). C. CALDINI-QUEIROS, B. DESPRES, LMIG, M. KACHANOVSKA, (hal-01114791). 53, March 2016 CEMRACS 2014 – Numerical Modeling of Plasmas, 1-21, ESAIM Proc., 53, 2016.
  • Interpolation properties of generalized plane waves, (link). LMIG. Numerische Mathematik 131 (2015) 4, pp.683--711.
  • Hybrid resonance of Maxwell's equations in slab geometry, (link). B. DESPRES, LMIG, R. WEDER. Journal de Math. Pures et Appliquées, 101 (2014) 5, pp.623--659.
  • A generalized plane wave numerical method for smooth non constant coefficients, (link). LMIG, B. DESPRES. IMA Journal of Numerical Analysis 34 (2014).
  • Magnetic Equations with FreeFem++: the Grad-Shafranov Equation & the Current Hole, E. DERIAZ, B. DESPRES, G. FACCANONI, K. P. GOSTAF, LMIG, G. SADAKA et R. SART, CEMRACS'10 research achievements: numerical modeling of fusion, 76-94, ESAIM Proc., 32, EDP Sci., Les Ulis, 2011.
  • Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term, M. WOLFF, S. JAOUEN, LMIG, CEMRACS'10 research achievements: numerical modeling of fusion, 195-210, ESAIM Proc., 32, EDP Sci., Les Ulis, 2011.