Abstract
Multi-grid methods were first developed for elliptic boundary value problems. However, a two-grid iteration closely related to a multi-grid algorithm for integral equations of the second kind (which we call a multi-grid iteration of the second kind) is already described in 1960 by Brakhage [1]. Abramov [1] and Sisov [1] also describe algorithms for integral eigenvalue problems that approach the two-grid idea. Atkinson [1, 2] took up the idea of Brakhage and developed automatic programs for linear integral equations.
This chapter is based on the author’s contribution to the proceedings volume of Holstein-Paddon
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© 1985 Springer-Verlag Berlin Heidelberg
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Hackbusch, W. (1985). The Multi-Grid Method of the Second Kind. In: Multi-Grid Methods and Applications. Springer Series in Computational Mathematics, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-02427-0_16
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DOI: https://doi.org/10.1007/978-3-662-02427-0_16
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-05722-9
Online ISBN: 978-3-662-02427-0
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