Optimal adaptive preconditioners in static problems of the linear theory of elasticity. (English. Russian original) Zbl 1278.74189
Differ. Equ. 45, No. 7, 1044-1052 (2009); translation from Differ. Uravn. 45, No. 7, 1023-1031 (2009).
Summary: 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.
MSC:
| 74S30 | Other numerical methods in solid mechanics (MSC2010) |
| 65F08 | Preconditioners for iterative methods |
| 65F10 | Iterative numerical methods for linear systems |
| 74B05 | Classical linear elasticity |
References:
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