bibtype J - Journal Article
ARLID 0522489
utime 20250310145840.9
mtime 20200225235959.9
SCOPUS 85078157509
WOS 000528266300001
DOI 10.1016/j.camwa.2020.01.004
title (primary) (eng) Poincaré-Friedrichs type constants for operators involving grad, curl, and div: Theory and numerical experiments
specification
page_count 41 s.
media_type P
serial
ARLID cav_un_epca*0252559
ISSN 0898-1221
title Computers & Mathematics With Applications
volume_id 79
volume 11 (2020)
page_num 3027-3067
publisher
name Elsevier
keyword Friedrichs constants
keyword Poincaré constants
keyword Maxwell constants
keyword Dirichlet eigenvalues
keyword Neumann eigenvalues
keyword Maxwell eigenvalues
author (primary)
ARLID cav_un_auth*0389904
name1 Pauly
name2 D.
country DE
garant K
author
ARLID cav_un_auth*0292941
name1 Valdman
name2 Jan
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept Department of Decision Making Theory
department (cz) MTR
department MTR
full_dept Department of Decision Making Theory
garant K
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url https://www.sciencedirect.com/science/article/pii/S0898122120300110
source
url http://library.utia.cas.cz/separaty/2020/MTR/valdman-0522489.pdf
cas_special
project
ARLID cav_un_auth*0385134
project_id GF19-29646L
agency GA ČR
country CZ
abstract (eng) 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.
reportyear 2021
RIV BA
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inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0306967
confidential S
mrcbC86 3+4 Article Mathematics Applied
mrcbC91 C
mrcbT16-e MATHEMATICSAPPLIED
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mrcbTft \nSoubory v repozitáři: valdman-522489.pdf
mrcbU14 85078157509 SCOPUS
mrcbU24 PUBMED
mrcbU34 000528266300001 WOS
mrcbU63 cav_un_epca*0252559 Computers & Mathematics With Applications 0898-1221 1873-7668 Roč. 79 č. 11 2020 3027 3067 Elsevier