1.

Record Nr.

UNISA996466494903316

Autore

Linß Torsten

Titolo

Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems [[electronic resource] /] / by Torsten Linß

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2010

ISBN

1-280-39161-8

9786613569530

3-642-05134-0

Edizione

[1st ed. 2010.]

Descrizione fisica

1 online resource (XII, 326 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1985

Disciplina

515.35

Soggetti

Numerical analysis

Differential equations

Partial differential equations

Numerical Analysis

Ordinary Differential Equations

Partial Differential Equations

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 215-222) and index.

Nota di contenuto

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.

Sommario/riassunto

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.