Numerische Mathematik

, Volume 50, Issue 5, pp 567–586

A conjugate gradient method and a multigrid algorithm for Morley s finite element approximation of the biharmonic equation

  • P. Peisker
  • D. Braess

DOI: 10.1007/BF01408577

Cite this article as:
Peisker, P. & Braess, D. Numer. Math. (1987) 50: 567. doi:10.1007/BF01408577


The numerical solution of the linear equations arising from Morley's nonconforming displacement method is studied. A suitable preconditioning for the conjugate gradient method is described. Furthermore, the nonconformity of the discretization necessitates some non-standard ingredients of multigrid algorithms.

Subject Classifications

AMS(MOS): 65N30CR: G1.8

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • P. Peisker
    • 1
  • D. Braess
    • 1
  1. 1.Institut für MathematikRuhr-UniversitätBochum 1Germany