0522489 20250310145840.920200225235959.9 85078157509 000528266300001 10.1016/j.camwa.2020.01.004 41 s. P cav_un_epca*02525590898-12217911 (2020)3027-3067Elsevier Friedrichs constants Poincaré constants Maxwell constants Dirichlet eigenvalues Neumann eigenvalues Maxwell eigenvalues cav_un_auth*0389904 Pauly D. DE K cav_un_auth*0292941 Valdman Jan UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR Department of Decision Making Theory K Ústav teorie informace a automatizace AV ČR, v. v. i. https://www.sciencedirect.com/science/article/pii/S0898122120300110 http://library.utia.cas.cz/separaty/2020/MTR/valdman-0522489.pdf cav_un_auth*0385134 GF19-29646L GA ČR CZ 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. 2021 BA WOS 10000 10100 10102 2 R hod 4 4rh 4 20250310144525.9 4 20250310145840.9 RVO:67985556 http://hdl.handle.net/11104/0306967 S 3+4 Article Mathematics Applied C MATHEMATICS.APPLIED 3.319 1.094 9.1 0.01926 0.928 20697 159 1.079 40.41 3.26 4563 Q1 3.308 385 Q1 73.456 94.2 Q2 Q2 1.97 Q1 94.151 2020 Soubory v repozitáři: valdman-522489.pdf 85078157509 SCOPUS PUBMED 000528266300001 WOS cav_un_epca*0252559 Computers & Mathematics With Applications 0898-1221 1873-7668 Roč. 79 č. 11 2020 3027 3067 Elsevier