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Poincaré-Friedrichs type constants for operators involving grad, curl, and div: Theory and numerical experiments

SYSNO ASEP	0522489
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Poincaré-Friedrichs type constants for operators involving grad, curl, and div: Theory and numerical experiments
Author(s)	Pauly, D. (DE) Valdman, Jan (UTIA-B)_{RID, ORCID}
Source Title	Computers & Mathematics With Applications. - : Elsevier - ISSN 0898-1221 Roč. 79, č. 11 (2020), s. 3027-3067
Number of pages	41 s.
Publication form	Print - P
Language	eng - English
Country	GB - United Kingdom
Keywords	Friedrichs constants ; Poincaré constants ; Maxwell constants ; Dirichlet eigenvalues ; Neumann eigenvalues ; Maxwell eigenvalues
Subject RIV	BA - General Mathematics
OECD category	Applied mathematics
R&D Projects	GF19-29646L GA ČR - Czech Science Foundation (CSF)
Method of publishing	Limited access
Institutional support	UTIA-B - RVO:67985556
UT WOS	000528266300001
EID SCOPUS	85078157509
DOI	10.1016/j.camwa.2020.01.004
Annotation	We give some theoretical as well as computational results on Laplace and Maxwell constants. Besides the classical de Rham complex we investigate the complex of elasticity and the complex related to the biharmonic equation and general relativity as well using the general function alanalytical concept of Hilbert complexes. We consider mixed boundary conditions and bounded Lipschitz domains of arbitrary topology. Our numerical aspects are presented by examples for the de Rham complex in 2D and 3D which not only confirm our theoretical findings but also indicate some interesting conjectures.
Workplace	Institute of Information Theory and Automation
Contact	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Year of Publishing	2021
Electronic address	https://www.sciencedirect.com/science/article/pii/S0898122120300110

Number of the records: 1