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An ‘upwind’ finite element method via numerical intergration

✍ Scribed by Guy Payre; Michel De Broissia; Jacques Bazinet


Book ID
102961173
Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
664 KB
Volume
18
Category
Article
ISSN
0029-5981

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Uniform convergence of an upwind finite
✍ Dyrk Schneider; Hans-Görg Roos; Torsten Linß 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 136 KB

A singularly perturbed convection±diusion problem is considered. The problem is discretised using an upwinded ®nite element method on layer-adapted meshes. We establish convergence of almost ®rst-order in a weighted energy norm, no matter how small the perturbation parameter. As a corollary we deriv