April 4, 2014
Speaker: Emmanuel Lorin, Carleton University
Title: Domain decomposition method derived from high-order absorbing boundary conditions for the Schroedinger equation
Abstract: We present a domain decomposition technique for solving the Schroedinger equation based on the "Schwarz waveform relaxation algorithm" [1-2], where the transmission conditions are derived from pseudo-differential absorbing boundary conditions for i) the linear Schroedinger equation with space- and time-dependent potential, and ii) the nonlinear Schroedinger equation [3-4]. This is joint work with X. Antoine and A. Bandrauk.
 M.Gander, L. Halpern, F. Nataf. SIAM J. Num. Anal. 41 (2003)  L. Hapern, J. Sezftel. Math. Models and Meth. in App. Sc. 20 (2010)  X. Antoine, C. Besse, S. Descombes. SIAM J. Num. Anal. 43 (2006)  X. Antoine, E. Lorin, A. Bandrauk. Submitted (2014)