Geodesic
On a~precision estimate for a~hydrodynamics problem with discontinuous coefficients in the norm of the space~$\mathbf L_2(\Omega_h)$
Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 110-122

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We study the 2-dimensional problem obtained by time-discretizing and linearizing the problem of flow of a 2-phase viscous fluid without mixing in the statement of incompressible Navier–Stokes equations with time-dependent interface. For an approximate solution to this problem we construct a scheme of a nonconformal finite element method. We estimate the rate of convergence of the mesh solution to the exact solution to the problem in the norm of $\mathbf L_2(\Omega_h)$, which agrees with simulations.
Keywords: discontinuous coefficients, nonconformal finite element method
Mots-clés : domain decomposition, mortar elements. 
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     title = {On a~precision estimate for a~hydrodynamics problem with discontinuous coefficients in the norm of the space~$\mathbf L_2(\Omega_h)$},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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A. V. Rukavishnikov. On a~precision estimate for a~hydrodynamics problem with discontinuous coefficients in the norm of the space~$\mathbf L_2(\Omega_h)$. Sibirskij žurnal industrialʹnoj matematiki, Tome 15 (2012) no. 1, pp. 110-122. http://geodesic.mathdoc.fr/item/SJIM_2012_15_1_a10/