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Two-Level Iterative Methods

In: Numerical Methods for Grid Equations

Author

Listed:
  • Aleksandr A. Samarskii

    (Moscow University, Department of Computational, Mathematics and Cybernetics)

  • Evgenii S. Nikolaev

    (Moscow University, Department of Computational, Mathematics and Cybernetics)

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.

Suggested Citation

  • Aleksandr A. Samarskii & Evgenii S. Nikolaev, 1989. "Two-Level Iterative Methods," Springer Books, in: Numerical Methods for Grid Equations, chapter 0, pages 65-124, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9142-4_2
    DOI: 10.1007/978-3-0348-9142-4_2
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