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Preconditioning Linear Saddle Point Problems

In: Numerical Methods and Software Tools in Industrial Mathematics

Author

Listed:
  • Torgeir Rusten

    (SINTEF)

  • Ragnar Winther

    (University of Oslo, Dept. of Informatics)

Abstract

In this paper we discuss how certain saddle point problems, arising from discretizations of partial differential equations, should be preconditioned in order to obtain iterative methods which converge with a rate independent of the discretization parameters. The results for the discrete systems are motivated from corresponding results for the continuous systems. Our general approach is illustrated by studying Stokes’ problem, a mixed formulation of second order elliptic equations and a variational problem motivated from scattered data approximation.

Suggested Citation

  • Torgeir Rusten & Ragnar Winther, 1997. "Preconditioning Linear Saddle Point Problems," Springer Books, in: Morten Dæhlen & Aslak Tveito (ed.), Numerical Methods and Software Tools in Industrial Mathematics, chapter 13, pages 281-298, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-1984-2_13
    DOI: 10.1007/978-1-4612-1984-2_13
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