Numerische Mathematik

, Volume 50, Issue 6, pp 655–684

On the finite element approximation of a cascade flow problem

  • Miloslav Feistauer
Convergence of the SSOR Method for Nonlinear Systems of Simultaneous Equations

DOI: 10.1007/BF01398378

Cite this article as:
Feistauer, M. Numer. Math. (1986) 50: 655. doi:10.1007/BF01398378


The finite element analysis of a cascade flow problem with a given velocity circulation round profiles is presented. The nonlinear problem for the stream function with nonstandard boundary conditions is discretized by conforming linear triangular elements. We deal with the properties of the discrete problem and study the convergence of the method both for polygonal and nonpolygonal domains, including the effect of numerical integration.

Subject Classifications

AMS(MOS): 65N30 76-08 76G99 76N10 CR: G1.8 

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Miloslav Feistauer
    • 1
  1. 1.Faculty of Mathematics and PhysicsCharles University PraguePraha 8Czechoslovakia

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