Abstract
For a static problem of the linear theory of elasticity in dual statements, we construct and justify optimal adaptive two- and three-layer iterative methods with sharp estimates for the convergence rate.
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Dedicated to the ninetieth birthday of Aleksandr Andreevich Samarskii
Original Russian Text © A.N. Konovalov, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 7, pp. 1023–1031.
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Konovalov, A.N. Optimal adaptive preconditioners in static problems of the linear theory of elasticity. Diff Equat 45, 1044–1052 (2009). https://doi.org/10.1134/S0012266109070118
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DOI: https://doi.org/10.1134/S0012266109070118