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Superconvergence analysis of FEMs for the Stokes–Darcy system

✍ Scribed by Wenbin Chen; Puying Chen; Max Gunzburger; Ningning Yan

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 338 KB
Volume: 33
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1279

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✦ Synopsis

Communicated by X. Wang

We consider a superconvergence analysis for quadratic finite element approximations of the Stokes-Darcy system. The superclose property of an extra half order is proven for uniform triangular meshes. Based on the result of the superclose property, global superconvergence is derived by applying a postprocessing technique. In addition, some numerical examples are presented to demonstrate our theoretical results.

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