Sharp Constants of the Energy Equivalence Relation in the Method of Conversion of Boundary Conditions for Biharmonic Equation

Verfasser / Beitragende:
[S. Sorokin]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/3(2015-03-01), 464-472
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-015-2260-5  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10958-015-2260-5 
100 1 |a Sorokin  |D S.  |u Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, pr. Akad. Lavrent'eva,, 630090, Novosibirsk, Russia  |4 aut 
245 1 0 |a Sharp Constants of the Energy Equivalence Relation in the Method of Conversion of Boundary Conditions for Biharmonic Equation  |h [Elektronische Daten]  |c [S. Sorokin] 
520 3 |a 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. 
540 |a Springer Science+Business Media New York, 2015 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 464-472  |x 1072-3374  |q 205:3<464  |1 2015  |2 205  |o 10958 
856 4 0 |u https://doi.org/10.1007/s10958-015-2260-5  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10958-015-2260-5  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Sorokin  |D S.  |u Institute of Computational Mathematics and Mathematical Geophysics SB RAS, 6, pr. Akad. Lavrent'eva,, 630090, Novosibirsk, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/3(2015-03-01), 464-472  |x 1072-3374  |q 205:3<464  |1 2015  |2 205  |o 10958