Rukavishnikov A. V. Chislennyi metod resheniya zadachi Stoksa s razryvnym koeffitsientom // Vychislitelnye metody i programmirovanie. T. 6, # 1. 2005. C. 17–26.
Rukavishnikov A. V. Nekonformnyi metod konechnykh elementov dlya zadachi Stoksa s razryvnym koeffitsientom // Sibirskii zhurnal industrialnoi matematiki. T. 10, # 4. 2007. S. 104–117 (v soavtorstve s Rukavishnikovym V. A.).
Rukavishnikov A. V. Obobschennaya postanovka zadachi techeniya dvukhfaznoi zhidkosti s nepreryvno izmenyayuschimsya interfeisom // Matematicheskoe modelirovanie. T. 20, # 3. 2008. S. 3–8.
A. V. Rukavishnikov, “Influence of weighted function exponent in WFEM on error of solution for hydrodynamic problems with singularity”, Dal'nevost. Mat. Zh., 22:2 (2022), 225–231
2020
2.
V. A. Rukavishnikov, A. V. Rukavishnikov, “The method of numerical solution of the one stationary hydrodynamics problem in convective form in $L$-shaped domain”, Computer Research and Modeling, 12:6 (2020), 1291–1306
A. V. Rukavishnikov, “A numerical method for solving the Oseen-type problem in an $L$-shaped domain”, Num. Meth. Prog., 19:1 (2018), 63–71
4.
V. A. Rukavishnikov, A. V. Rukavishnikov, “New approximate method for solving the Stokes problem in a domain with corner singularity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 11:1 (2018), 95–108
A. V. Rukavishnikov, “On a precision estimate for a hydrodynamics problem with discontinuous coefficients in the norm of the space $\mathbf L_2(\Omega_h)$”, Sib. Zh. Ind. Mat., 15:1 (2012), 110–122
7.
A. V. Rukavishnikov, “Nonconformal finite element method for a fluid dynamics problem with a curved interface”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012), 1072–1094
A. V. Rukavishnikov, “The numerical solution of a non-uniform problem theory of elasticity with the curvilinear interface”, Dal'nevost. Mat. Zh., 11:2 (2011), 190–200
2008
9.
A. V. Rukavishnikov, “The generalized statement of the problem of a two–phase liquid flow with continuously changing interface”, Matem. Mod., 20:3 (2008), 3–8
A. V. Rukavishnikov, V. A. Rukavishnikov, “On the nonconformal finite element method for the Stokes problem with a discontinuous coefficient”, Sib. Zh. Ind. Mat., 10:4 (2007), 104–117
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