Error Estimates for Galerkin Approximations to the Periodic Schrödinger‐Poisson System

C. Sean Bohun, Reinhard Illner, Herbert Lange, Paul F. Zweifel · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1996

Abstract We establish convergence rates for a Galerkin approximation to the periodic Schrödinger‐Poisson problem in the unit cube [0, 1]3. The error estimates transform into corresponding L∞‐error estimates for the Wigner distribution function.

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