caa a22 4500 605522022 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2260-5 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2260-5 Sorokin S. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, pr. Akad. Lavrent'eva,, 630090, Novosibirsk, Russia aut Sharp Constants of the Energy Equivalence Relation in the Method of Conversion of Boundary Conditions for Biharmonic Equation [Elektronische Daten] [S. Sorokin] We propose and justify an iterative algorithm with economic preconditioner for numerical solving the mixed problem of elasticity theory in approximation of plate theory. We obtain unimprovable constants in the energy equivalence relation which are used for optimization of the iterative process. The inversion of the preconditioner is equivalent to the double inversion of the discrete counterpart of the Laplace operator with the Dirichlet condition. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 464-472 1072-3374 205:3<464 2015 205 10958 https://doi.org/10.1007/s10958-015-2260-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2260-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sorokin S. Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, pr. Akad. Lavrent'eva,, 630090, Novosibirsk, Russia aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/3(2015-03-01), 464-472 1072-3374 205:3<464 2015 205 10958