A Short Note on a Weighted Friedrichs Inequality

Immanuel Anjam; Dirk Pauly

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arXiv · 1809.04577

A Short Note on a Weighted Friedrichs Inequality

Immanuel Anjam·Dirk Pauly

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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.

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Immanuel Anjam, Dirk Pauly. 2018-09-12. A Short Note on a Weighted Friedrichs Inequality. https://arxiv.org/abs/1809.04577

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