Abstract
In this chapter we study the convergence properties of the trigonometric Galerkin method for the periodic integral equation Au = f introduced in Section 6.6. We apply the Galerkin method either to a preconditioned problem B Au = Bf or directly to the equation Au = f. The first approach admits more possibilities for construction of fast solvers. We pay much attention to fully discrete versions of the methods. The treatment is based on the works [KV95], [Vai96], [Vai97], [SV98], [PV01]; see also [BPV96].
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© 2002 Springer-Verlag Berlin Heidelberg
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Saranen, J., Vainikko, G. (2002). Galerkin Method and Fast Solvers. In: Periodic Integral and Pseudodifferential Equations with Numerical Approximation. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04796-5_9
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DOI: https://doi.org/10.1007/978-3-662-04796-5_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07538-4
Online ISBN: 978-3-662-04796-5
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