2018/09/12 by Immanuel Anjam, Anjam, Immanuel, Dirk Pauly +1
Computer Science · Engineering · Mathematics · #26D10 #35A23 #35Q61 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.1809.04577
openalex publication_date 2018/09/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ℝ3. A simple numerical application is also given: we apply the main result in a posteriori error estimation for an elliptic problem.