Two-Level Iterative Methods

Aleksandr A. Samarskii and Evgenii S. Nikolaev
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Aleksandr A. Samarskii: Moscow University, Department of Computational, Mathematics and Cybernetics
Evgenii S. Nikolaev: Moscow University, Department of Computational, Mathematics and Cybernetics

Chapter Chapter 6 in Numerical Methods for Grid Equations, 1989, pp 65-124 from Springer

Abstract: Abstract In this chapter we will look at two-level iterative methods for solving the operator equation Au = f. The iterative parameters are chosen using a priori information about the operators from the iterative scheme. In Section 6.1 we pose the problem of choosing the parameters for the two-level scheme. In Section 6.2 and 6.3 this problem is solved in the self-adjoint case. In Section 6.4 we study several ways of choosing the parameters in the non-self-adjoint case based on the volume of a priori information. In Section 6.5 we look at several sample applications of these methods for solving grid equations.

Keywords: Iterative Method; Iterative Scheme; Grid Function; Iteration Count; Sample Application (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-3-0348-9142-4_2

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