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Sufficient Conditions for Uniform Convergence on Layer-Adapted Grids

✍ Scribed by H.-G. Roos; T. Linß


Publisher
Springer Vienna
Year
1999
Tongue
English
Weight
110 KB
Volume
63
Category
Article
ISSN
0010-485X

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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