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A Mixed Variable Finite Element Method for the Efficient Solution of Nonlinear Diffusion and Potential Flow Equations

  • O. Axelsson
Part of the Notes on Numerical Fluid Mechanics book series (NNFM, volume 11)

Abstract

A recently developed method ([1]) for the efficient solution of nonlinear partial differential equations of the form \( \frac{\partial }{{\partial x}}\left( {a\frac{{\partial u}}{{1\partial y}}} \right) + \frac{\partial }{{\partial y}}\left( {a\frac{{\partial u}}{{2\partial y}}} \right) + f = o \), where ai = ai(x,y,u,ux,uy,∇u), is further discussed in this paper. The method has applications in many important practical problems.

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References

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    O. Axelsson and I. Gustafsson, An efficient finite element method for nonlinear diffusion problems, submitted.Google Scholar
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    O. Axelsson and V.A. Barker, Finite Element Solution of Boundary Value Problems. Theory and Computation. Academic Press, Orlando, 1984.Google Scholar
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    M.M. Vainberg, Variational method and method of monotone operators in the theory of nonlinear equations, John Wiley, New York, 1973.zbMATHGoogle Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1985

Authors and Affiliations

  • O. Axelsson
    • 1
  1. 1.Department of Mathematics, ToernooiveldUniversity of NijmegenThe Netherlands

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