Post-processing of the planewave approximation of Schrödinger equations. Part I: linear operators

@inproceedings{Cancs2018PostprocessingOT,
  title={Post-processing of the planewave approximation of Schr{\"o}dinger equations. Part I: linear operators},
  author={Eric Canc{\`e}s and Genevi{\`e}ve Dusson and Yvon Maday and Benjamin Stamm and Martin Vohral{\'i}k},
  year={2018}
}
In this article, we prove a priori error estimates for the perturbation-based post-processing of the plane-wave approximation of Schrodinger equations introduced and tested numerically in previous works [6, 7]. We consider here a Schrodinger operator $H = − 1/2 ∆ + V$ on $L^2 (Ω$), where $Ω$ is a cubic box with periodic boundary conditions, and where V is a multiplicative operator by a regular-enough function V. The quantities of interest are, on the one hand, the ground-state energy defined as… CONTINUE READING

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