Geodesic
Numerical method of stable solution of S.-Venant problem of shaft torsion
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2009), pp. 98-111

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Stable numerical method of solving S.-Venant problem about torsion of shaft with arbitrary bounded unity-connected domain section with Jordan boundary was developed. This method is based on direct solution of the boundary problem for harmonic functions in non-classical discrete statement with regularization procedure. Testing of this method with employment of computer programs demonstrates its sufficiently high efficiency and precision.
Mots-clés : S.-Venant problem
Keywords: shaft torsion, boundary problems, harmonic function, numerical method, regularization procedure, computer program. 
@article{VTGU_2009_4_a9,
     author = {V. V. Sobolev},
     title = {Numerical method of stable solution of {S.-Venant} problem of shaft torsion},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {98--111},
     publisher = {mathdoc},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2009_4_a9/}
}
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V. V. Sobolev. Numerical method of stable solution of S.-Venant problem of shaft torsion. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2009), pp. 98-111. http://geodesic.mathdoc.fr/item/VTGU_2009_4_a9/