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Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 326
• Erscheinungstermin: 21. November 2009
• Englisch
• ISBN-13: 9783642051340
• Artikelnr.: 44133033

Inhaltsangabe

One dimensional problems.- The Analytical Behaviour of Solutions.- Finite Difference Schemes for Convection-Diffusion Problems.- Finite Element and Finite Volume Methods.- Discretisations of Reaction-Convection-Diffusion Problems.- Layer-Adapted Meshes.- Two dimensional problems.- The Analytical Behaviour of Solutions.- Reaction-Diffusion Problems.- Convection-Diffusion Problems.

Rezensionen

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)