Publications

2008

Daniil Svyatskiy, "Benchmark on Anisotropic Problems.Nonlinear monotone finite volume method", in Finite Volumes for Complex Applications V , pp. 935-947, 2008
Daniil Svyatskiy, David Moulton and Konstantin Lipnikov, "Multilevel Multiscale Mimetic (M^3) method for two-phase flows in porous media.", Journal of Computational Physics , vol. 227(14), pp. 6727-6753, 2008

Konstantin Lipnikov, Mikhail Shashkov, Daniil Svyatskiy and Yuri Vassilevski, "Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes", J. Comp. Phys. (accepted), 2007
Daniil Svyatskiy, Oleg Boiarkine and Yuri Kuznetsov, "Diffusion equation on nonmatching hexahedral meshes", Russian Journal of Numerical Analysis and Mathematical Modeling, vol. 22(4), pp. 1-14, 2007
Daniil Svyatskiy, David Moulton and Colin Fox, "Multilevel approximations in sample-based inversion from the dirichlet-to-neumann map", in Proceedings of the First International Congress of IPIA Conference on Applied Inverse Problems 2007: Theoretical and Computational Aspects, June 25-29, 2007, Vancouver, Canada , 2007

Konstantin Lipnikov, Mikhail Shashkov and Daniil Svyatskiy, "The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes", J. Comput. Phys., vol. 211, pp. 473-491, 2006
Daniil Svyatskiy, Vadim Chugunov, Eugene Tyrtyshnikov and Yuri Vassilevski, "Parallel iterative multilevel solution of mixed fnite element systems for scalar equations ", Concurrency and Computation Practice & Experience;, vol. 18 , no. 5, pp. 501-518, 2006

Yves Achdou, Jerome Jaffre, Daniil Svyatskiy and Yuri Vassilevski, "Numerical simulation of unsteady 3D fows on anisotropic grids.", in Transactions of French-Russian Liapounov Institute for Applied Mathematics and Computer Science. V.4, MSU, Moscow , pp. 107-124, 2003