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Singular Perturbation Problems

  • Wolfgang Hackbusch
Part of the Springer Series in Computational Mathematics book series (SSCM, volume 4)

Abstract

An operator L = L(ε) depending on a parameter ε is called singularly perturbed if the limiting operator \(L(0) = \begin{array}{*{20}{c}} {\lim } \\ {\varepsilon \to 0} \end{array}L(\varepsilon )\) is of a type other than L(ε) for ε > 0. For instance, an elliptic operator L(ε) = ε L I + L II (ε > 0) is singularly perturbed if L II is non-elliptic or elliptic of a lower order. Different types of L II give rise to the subsections 10.1–3.

Keywords

Finite Element Discretisation Convection Diffusion Equation Singular Perturbation Problem Smoothing Process Multigrid Iteration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1985

Authors and Affiliations

  • Wolfgang Hackbusch
    • 1
  1. 1.MPI für Mathematik in den NaturwissenschaftenLeipzigGermany

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