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Optimal Convergence of Basic Schemes for Elliptic Boundary Value Problems with Strong Parabolic Layers

✍ Scribed by Hans-Görg Roos

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 116 KB
Volume: 267
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7763

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✦ Synopsis

We consider a convection-diffusion problem with strong parabolic boundary layers and its discretization using upwind finite differences or bilinear finite elements on a layer-adapted mesh. Based on a new decomposition of the solution we are able to prove optimal uniform convergence results.  2002 Elsevier Science (USA)

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