The use of finite element methods in non linear evolutionary problems as met in weather forecasting

  • M. J. P. Cullen
Meteorology and Oceanography
Part of the Lecture Notes in Physics book series (LNP, volume 91)


It has been shown that, while in general it is unlikely that the finite element method can compete with explicit finite-difference schemes for evolutionary problems, there are special cases where it is competitive. It is also competitive more generally if Poisson equations have to be solved as part of the solution. The results obtained are consistent with the error estimates but the rate of convergence to the solution in meteorological problems is much slower than that suggested by asymptotic error estimates. For these problems other sources of error than just numerical models need to be examined.


Galerkin Method Finite Difference Scheme Finite Element Approximation Finite Difference Model Finite Element Scheme 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • M. J. P. Cullen
    • 1
  1. 1.Meteorological OfficeBracknellUK

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