Geodesic
Numerical solution of Saint-Venant's problem about torsion of a~shaft with two-connected domain section by the method of conformal mapping
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 25-37

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A numerical method for solving the Saint-Venant problem about torsion of a shaft with an arbitrary two-connected section domain was developed. This method is based on preliminary building of a conformal mapping of this domain onto a circle ring followed by the solution of the reduced boundary Dirichlet problem. The testing of this method with employment of computer programs demonstrates its sufficiently high efficiency and precision.
Mots-clés : Saint-Venant problem
Keywords: shaft torsion, Dirichlet boundary problem, harmonic function, two-connect domain, conformal mapping, numerical method, computer program. 
@article{VTGU_2011_2_a3,
     author = {V. V. Sobolev and A. A. Molchanov},
     title = {Numerical solution of {Saint-Venant's} problem about torsion of a~shaft with two-connected domain section by the method of conformal mapping},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {25--37},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2011_2_a3/}
}
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V. V. Sobolev; A. A. Molchanov. Numerical solution of Saint-Venant's problem about torsion of a~shaft with two-connected domain section by the method of conformal mapping. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2011), pp. 25-37. http://geodesic.mathdoc.fr/item/VTGU_2011_2_a3/