Lecture Notes in Mathematics

Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems

Authors: Linß, Torsten

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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.

Reviews

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)

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Pages 1-4

    Linß, Torsten

  • Layer-Adapted Meshes

    Pages 5-29

    Linß, Torsten

  • The Analytical Behaviour of Solutions

    Pages 33-76

    Linß, Torsten

  • Finite Difference Schemes for Convection-Diffusion Problems

    Pages 77-149

    Linß, Torsten

  • Finite Element and Finite Volume Methods

    Pages 151-182

    Linß, Torsten

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-642-05134-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA in USD
  • ISBN 978-3-642-05133-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1985
Copyright
2010
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-05134-0
DOI
10.1007/978-3-642-05134-0
Softcover ISBN
978-3-642-05133-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XII, 326
Topics