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The numerical error of standard finite-difference schemes is analysed at free boundaries of the Grad-Schlüter-Shafranov equation of plasma physics. A simple correction strategy is devised to eliminate (to leading order) the errors which arise as the free boundary crosses the rectangular grid at irregular locations. The resulting scheme can be solved by Gauss-Newton or inverse iterations, or by multigrid iterations. Extrapolation (from 2nd to 3rd order of accuracy) is possible for the new scheme.

Additional information

Authors: MEYER-SPASCHE R, Max-Planck-Institut für Plasmaphysik, Garching bei München (DE);FORNBERG B, Exxon Research & Engineering Co., Annandale, NJ (US)
Bibliographic Reference: Report: IPP 6/295 EN (1990) 39 pp.
Availability: Available from Max-Planck Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199011831 / Last updated on: 1994-12-02
Original language: en
Available languages: en
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