A Short Note on a Weighted Friedrichs Inequality

Publikation: Vorabdruck/Dokumentation/BerichtVorabdruck (Preprint)

Beitragende

Abstract

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.

Details

OriginalspracheUndefiniert
PublikationsstatusVeröffentlicht - 12 Sept. 2018
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Externe IDs

ORCID /0000-0003-4155-7297/work/145698484

Schlagworte

Schlagwörter

  • math.AP, math.NA, 35A23, 26D10, 35Q61