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BIT Numerical Mathematics
Published in: BIT Numerical Mathematics 2/2020

30-11-2019

Poincaré–Friedrichs inequalities of complexes of discrete distributional differential forms

Authors: Snorre H. Christiansen, Martin W. Licht

Published in: BIT Numerical Mathematics | Issue 2/2020

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Abstract

We derive bounds for the constants in Poincaré–Friedrichs inequalities with respect to mesh-dependent norms for complexes of discrete distributional differential forms. A key tool is a generalized flux reconstruction which is of independent interest. The results apply to piecewise polynomial de Rham sequences on bounded domains with mixed boundary conditions.
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Metadata
Title
Poincaré–Friedrichs inequalities of complexes of discrete distributional differential forms
Authors
Snorre H. Christiansen
Martin W. Licht
Publication date
30-11-2019
Publisher
Springer Netherlands
Published in
BIT Numerical Mathematics / Issue 2/2020
Print ISSN: 0006-3835
Electronic ISSN: 1572-9125
DOI
https://doi.org/10.1007/s10543-019-00784-1

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