© 2010

Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems


Part of the Lecture Notes in Mathematics book series (LNM, volume 1985)

Table of contents

  1. Front Matter
    Pages 1-10
  2. Torsten Linß
    Pages 1-4
  3. Torsten Linß
    Pages 5-29
  4. One Dimensional Problems

    1. Front Matter
      Pages 31-31
    2. Torsten Linß
      Pages 33-76
    3. Torsten Linß
      Pages 151-182
  5. Two Dimensional Problems

    1. Front Matter
      Pages 233-233
    2. Torsten Linß
      Pages 235-246
    3. Torsten Linß
      Pages 247-256
    4. Torsten Linß
      Pages 257-307
  6. Back Matter
    Pages 1-18

About this book


This book on numerical methods for singular perturbation problems - in particular, stationary reaction-convection-diffusion problems exhibiting layer behaviour is devoted to the construction and analysis of layer-adapted meshes underlying these numerical methods. A classification and a survey of layer-adapted meshes for reaction-convection-diffusion problems are included.

This structured and comprehensive account of current ideas in the numerical analysis for various methods on layer-adapted meshes is addressed to researchers in finite element theory and perturbation problems. Finite differences, finite elements and finite volumes are all covered.


boundary layers convection-diffusion numerical analysis numerical methods for differential equations reaction-diffusion

Authors and affiliations

  1. 1.Inst. Numerische MathematikTU DresdenDresdenGermany

Bibliographic information

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From the reviews:

“The book gives a thorough analysis of layer-adapted meshes used in the numerical treatment of reaction-convection-diffusion equations and hence is a book on numerical methods for singular perturbation problems. … The book is a welcome enrichement of the classical literature in that it shows clearly what can be done on meshes which are not of Shishkin-type.” (Thomas Sonar, Zentralblatt MATH, Vol. 1202, 2011)