A Short Note on a Weighted Friedrichs Inequality

التفاصيل البيبلوغرافية
العنوان: A Short Note on a Weighted Friedrichs Inequality
المؤلفون: Anjam, Immanuel, Pauly, Dirk
سنة النشر: 2018
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis, 35A23, 26D10, 35Q61
الوصف: In this short note we derive, for bounded domains, an upper bound for a Friedrichs type constant in a weighted Friedrichs type inequality. This upper bound generalizes a well known upper bound of the Friedrichs constant. This upper bound is also used to improve an upper bound of a Maxwell type constant for convex domains in $\mathbb{R}^3$. A simple numerical application is also given: we apply the main result in a posteriori error estimation for an elliptic problem.
Comment: 11 pages
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/1809.04577Test
رقم الانضمام: edsarx.1809.04577
قاعدة البيانات: arXiv