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Convergence of an adaptive hp finite element strategy in one space dimension

✍ Scribed by W. Dörfler; V. Heuveline

Book ID
108057449
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
320 KB
Volume
57
Category
Article
ISSN
0168-9274

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✍ 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