کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
499240 | 863034 | 2009 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Equilibrated residual error estimates are p-robust
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Equilibrated residual error estimators applied to high order finite elements are analyzed. The estimators provide always a true upper bound for the energy error. We prove that also the efficiency estimate is robust with respect to the polynomial degrees. A complete theory is provided for tensor product elements. In the case of simplicial elements, the theorem was first based on a conjecture, but the conjecture was quite recently proved by Costabel and McIntosh [M. Costabel, A. McIntosh, On Bogovskiıˇ and regularized Poincaré integral operators for de Rham complexes on Lipschitz domains. IRMAR-Preprint 08-40, Rennes, August 2008]. Numerical evidence for the p-robustness is provided.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 13–14, 1 March 2009, Pages 1189–1197
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 13–14, 1 March 2009, Pages 1189–1197
نویسندگان
Dietrich Braess, Veronika Pillwein, Joachim Schöberl,