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Layer-adapted meshes for convection–diffusion problems

✍ Scribed by Torsten Linß

Book ID: 104267201
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 413 KB
Volume: 192
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(02)00630-8

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✦ Synopsis

In the present paper, a classification and a survey are given of layer-adapted meshes for stationary convectiondominated convection-diffusion problems. For a number of standard numerical schemes, theoretical results are presented that demonstrate that the use of properly layer-adapted meshes yields robust methods, i.e., methods that perform equally well no matter how dominant the convection. We review a number of techniques used in the convergence analysis of these methods.

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