A posteriori error control and adaptivity for Crank–Nicolson finite element approximations for the linear Schrödinger equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00211-014-0634-0.pdf
Reference35 articles.
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2. Bao, W., Jin, S., Markowich, P.A.: On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. J. Comput. Phys. 175, 487–524 (2002)
3. Besse, Ch.: A relaxation scheme for the nonlinear Schrödinger equation. SIAM J. Numer. Anal. 42, 934–952 (2004)
4. Brenner, S.C., Scott, L.R.: The Mathematical Theory of Finite Element Methods, 2nd edn. Springer, NewYork (2002)
5. Bänsch, E., Karakatsani, F., Makridakis, Ch.: A posteriori error control for fully discrete Crank-Nicolson schemes. SIAM J. Numer. Anal. 50, 2845–2872 (2012)
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