Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems

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 lay...

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Bibliographic Details
Main Author: Lin<U+00df>, Torsten. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
Series:Lecture Notes in Mathematics, 1985
Subjects:
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-05134-0
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505 0 # |a 1 Introduction -- 2 Layer-adapted meshes -- Part I One dimensional problems -- 3 The analytical behaviour of solutions -- 4 Finite difference schemes for convection-diffusion problems -- 5 Finite element and finite volume methods -- 6 Discretisations of reaction-convection-diffusion problems -- Part II Two dimensional problems -- 7 The analytical behaviour of solutions -- 8 Reaction-diffusion problems -- 9 Convection-diffusion problems. 
520 # # |a 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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