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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.

[1] M.Gander, L. Halpern, F. Nataf. SIAM J. Num. Anal. 41 (2003) [2] L. Hapern, J. Sezftel. Math. Models and Meth. in App. Sc. 20 (2010) [3] X. Antoine, C. Besse, S. Descombes. SIAM J. Num. Anal. 43 (2006) [4] X. Antoine, E. Lorin, A. Bandrauk. Submitted (2014)