caa a22 4500 475741692 CHVBK 20180406123501.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/BF02676669 doi (NATIONALLICENCE)springer-10.1007/BF02676669 On the best constant in the inf-sup-condition for elongated rectangular domains [Elektronische Daten] [M. Ol'shanskii, E. Chizhonkov] The Ladyzhenskaya-Babushka-Brezzi inequality (inf-sup-condition) is often used in the analysis of convergence of approximate solutions of hydrodynamic equations to exact ones. The constant involved in it depends on the shape of the domain and determines the efficiency of different algorithms. In this paper, its asymptotics and two-sided estimates for rectangular domains are obtained. To this end, a new method for estimating eigenvalues of a certain spectral problem with Stokes' saddle operator is used. Kluwer Academic/Plenum Publishers, 2000 inf-sup-condition nationallicence Stokes equation nationallicence boundary problem nationallicence computational hydrodynamics nationallicence efficiency of algorithms nationallicence Ol'shanskii M. M. V. Lomonosov Moscow State University, USSR aut Chizhonkov E. M. V. Lomonosov Moscow State University, USSR aut Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/3(2000-03-01), 325-332 0001-4346 67:3<325 2000 67 11006 https://doi.org/10.1007/BF02676669 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02676669 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ol'shanskii M. M. V. Lomonosov Moscow State University, USSR aut NATIONALLICENCE 700 1- Chizhonkov E. M. V. Lomonosov Moscow State University, USSR aut NATIONALLICENCE 773 0- Mathematical Notes Kluwer Academic Publishers-Plenum Publishers 67/3(2000-03-01), 325-332 0001-4346 67:3<325 2000 67 11006 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer