Geodesic
Exact Constantes of Energy Equivalence in the Method of Recalculation Boundary Conditiones for Biharmonic Equation
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 3, pp. 113-121

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The iterative algorithm with economical preconditioner for numerical solution of elastic problem in approximation of plate theory with mixed boundary condition proposed and grounded. Exact constantes of energy equivalence for optimization of iteration method are obtained. Inversion of preconditioner is equivalent to double inversion of discrete analog of Laplace operator with Dirichlet boundary condition.
Keywords: biharmonic equation, boundary conditiones, iterative method, plate, free edge.
Mots-clés : Poisson's equation 
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     author = {S. B. Sorokin},
     title = {Exact {Constantes} of {Energy} {Equivalence} in the {Method} of {Recalculation} {Boundary} {Conditiones} for {Biharmonic} {Equation}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {113--121},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/VNGU_2013_13_3_a10/}
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S. B. Sorokin. Exact Constantes of Energy Equivalence in the Method of Recalculation Boundary Conditiones for Biharmonic Equation. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 13 (2013) no. 3, pp. 113-121. http://geodesic.mathdoc.fr/item/VNGU_2013_13_3_a10/