Parallel iterative multilevel solution of mixed finite element systems for scalar equations. - Vadim N. Chugunov; Daniil Svyatskiy; Eugene Tyrtyshnikov; Yuri V. Vassilevski (Concurr. Comput. Pract. Exp., 2006)

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. - Konstantin Lipnikov; Mikhail J. Shashkov; Daniil Svyatskiy; Yuri V. Vassilevski (J. Comput. Phys., 2007)

A multilevel multiscale mimetic (M3) method for two-phase flows in porous media. - Konstantin Lipnikov; J. David Moulton; Daniil Svyatskiy (J. Comput. Phys., 2008)

A Multilevel Multiscale Mimetic (M3) Method for an Anisotropic Infiltration Problem. - Konstantin Lipnikov; J. David Moulton; Daniil Svyatskiy (ICCS (1), 2009)

A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. - Dmitri Kuzmin; Mikhail J. Shashkov; Daniil Svyatskiy (J. Comput. Phys., 2009)

Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. - Konstantin Lipnikov; Daniil Svyatskiy; Yuri V. Vassilevski (J. Comput. Phys., 2009)

Preface. - Pavel Solín; Dmitri Kuzmin; Daniil Svyatskiy; Marián Slodicka (J. Comput. Appl. Math., 2010)

A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes. - Konstantin Lipnikov; Daniil Svyatskiy; Yuri V. Vassilevski (J. Comput. Phys., 2010)

A multiscale multilevel mimetic (M3) method for well-driven flows in porous media. - Konstantin Lipnikov; J. David Moulton; Daniil Svyatskiy (ICCS, 2010)

Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems. - Konstantin Lipnikov; Gianmarco Manzini; Daniil Svyatskiy (J. Comput. Phys., 2011)

Adaptive Strategies in the Multilevel Multiscale Mimetic (M3) Method for Two-Phase Flows in Porous Media. - Konstantin Lipnikov; J. David Moulton; Daniil Svyatskiy (Multiscale Model. Simul., 2011)

Anderson Acceleration for Nonlinear Finite Volume Scheme for Advection-Diffusion Problems. - Konstantin Lipnikov; Daniil Svyatskiy; Yuri V. Vassilevski (SIAM J. Sci. Comput., 2013)

An electrostatic Particle-In-Cell code on multi-block structured meshes. - Collin S. Meierbachtol; Daniil Svyatskiy; Gian Luca Delzanno; Louis J. Vernon; J. David Moulton (J. Comput. Phys., 2017)

A higher order approximate static condensation method for multi-material diffusion problems. - Alexander Z. Zinchenko; Daniil Svyatskiy; Maxim A. Olshanskii; Evgeny Kikinzon; Mikhail J. Shashkov (J. Comput. Phys., 2019)

Verification benchmarks for single-phase flow in three-dimensional fractured porous media. - Inga Berre; Wietse M. Boon; Bernd Flemisch; Alessio Fumagalli; Dennis Gläser; Eirik Keilegavlen; Anna Scotti; Ivar Stefansson; Alexandru Tatomir; Konstantin Brenner; Samuel Burbulla; Philippe R. B. Devloo; et al. (CoRR, 2020)

Flow and Transport in Three-Dimensional Discrete Fracture Matrix Models using Mimetic Finite Difference on a Conforming Multi-Dimensional Mesh. - Jeffrey D. Hyman; Matthew R. Sweeney; Carl W. Gable; Daniil Svyatskiy; Konstantin Lipnikov; J. David Moulton (CoRR, 2021)