Výsledky vyhledávání - "Lipnikov, K."

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Multidimensional staggered grid residual distribution scheme for Lagrangian hydrodynamics

Autor: Abgrall, R., Lipnikov, K., Morgan, N., Tokareva, S.

We present the second-order multidimensional Staggered Grid Hydrodynamics Residual Distribution (SGH RD) scheme for Lagrangian hydrodynamics. The SGH RD scheme is based on the staggered finite element discretizations as in [Dobrev et al., SISC, 2012]

Externí odkaz: http://arxiv.org/abs/1811.00057

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Convergence analysis of the mimetic finite difference method for elliptic problems with staggered discretization of the diffusion coefficients

Autor: Manzini, G., Lipnikov, K., Moulton, J. D., Shashkov, M.

We study the convergence of the new family of mimetic finite difference schemes for linear diffusion problems recently proposed in [38]. In contrast to the conventional approach, the diffusion coefficient enters both the primary mimetic operator, i.e

Externí odkaz: http://arxiv.org/abs/1612.01768

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The nonconforming virtual element method

Autor: de Dios, B. Ayuso, Lipnikov, K., Manzini, G.

We introduce the nonconforming Virtual Element Method (VEM) for the approximation of second order elliptic problems. We present the construction of the new element in two and three dimensions, highlighting the main differences with the conforming VEM

Externí odkaz: http://arxiv.org/abs/1405.3741

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