Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field

DOI10.1007/s10915-014-9902-5zbMath1332.78026OpenAlexW2124060271MaRDI QIDQ886995

Xavier Antoine, Emmanuel Lorin, André D. Bandrauk

Publication date: 27 October 2015

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-014-9902-5

zbMATH Keywords

Schrödinger equationdomain decomposition methodionizationlasernon-reflecting boundary conditionsSchwarz waveform relaxation

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Quantum optics (81V80) Lasers, masers, optical bistability, nonlinear optics (78A60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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