Mikhail J. Shashkov

56 papers Misc 3Journal 47Unranked 6

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A moment-of-fluid interface reconstruction using polygon inscribed in ellipse in 2D. J. Comput. Phys. Robert Chiodi, Mikhail J. Shashkov
2023	J	`jnl`	Conservative high-order data transfer method on generalized polygonal meshes. J. Comput. Phys. Konstantin Lipnikov, Mikhail J. Shashkov
2022	J	`jnl`	Conservative remapping of material-dependent fields between possibly misaligned material regions. J. Comput. Phys. Hoby Rakotoarivelo, Rao V. Garimella, Angela Herring, Mikhail J. Shashkov, Daniel W. Shevitz, Evgeny Kikinzon, Jan Velechovský, Konstantin Lipnikov, Navamita Ray
2021	J	`jnl`	A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes. J. Comput. Phys. Mack Kenamond, Dmitri Kuzmin, Mikhail J. Shashkov
2021	J	`jnl`	Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. J. Comput. Phys. Mack Kenamond, Dmitri Kuzmin, Mikhail J. Shashkov
2019	J	`jnl`	A higher order approximate static condensation method for multi-material diffusion problems. J. Comput. Phys. Alexander Z. Zinchenko, Daniil Svyatskiy, Maxim A. Olshanskii, Evgeny Kikinzon, Mikhail J. Shashkov
2019	J	`jnl`	An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Comput. Math. Appl. Tong Wu, Mikhail J. Shashkov, Nathaniel R. Morgan, Dmitri Kuzmin, H. Luo
2019	J	`jnl`	Constrained optimization framework for interface-aware sub-scale dynamics discrete closure model for multimaterial cells in Lagrangian cell-centered hydrodynamics. Comput. Math. Appl. Andrew Barlow, Nathaniel R. Morgan, Mikhail J. Shashkov
2019	J	`jnl`	Second-invariant-preserving Remap of the 2D deviatoric stress tensor in ALE methods. Comput. Math. Appl. Matej Klima, Milan Kucharik, Jan Velechovský, Mikhail J. Shashkov
2018	J	`jnl`	A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics. J. Comput. Phys. Milan Kucharik, Guglielmo Scovazzi, Mikhail J. Shashkov, Raphaël Loubère
2018	J	`jnl`	Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics. J. Comput. Phys. Andrew Barlow, Matej Klima, Mikhail J. Shashkov
2017	J	`jnl`	Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. J. Comput. Phys. Evgeny Kikinzon, Yuri A. Kuznetsov, Konstantin Lipnikov, Mikhail J. Shashkov
2017	J	`jnl`	Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients. SIAM J. Numer. Anal. Gianmarco Manzini, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov
2016	J	`jnl`	Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. J. Comput. Phys. Andrew Barlow, Pierre-Henri Maire, William J. Rider, Robert N. Rieben, Mikhail J. Shashkov
2016	J	`jnl`	Optimization-based mesh correction with volume and convexity constraints. J. Comput. Phys. Marta D'Elia, Denis Ridzal, Kara J. Peterson, Pavel B. Bochev, Mikhail J. Shashkov
2016	J	`jnl`	The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. J. Comput. Phys. Konstantin Lipnikov, Gianmarco Manzini, J. David Moulton, Mikhail J. Shashkov
2015	J	`jnl`	Adaptive reconnection-based arbitrary Lagrangian Eulerian method. J. Comput. Phys. Wurigen Bo, Mikhail J. Shashkov
2015	J	`jnl`	Filament capturing with the Multimaterial Moment-of-Fluid method. J. Comput. Phys. Matthew Jemison, Mark Sussman, Mikhail J. Shashkov
2014	J	`jnl`	Arbitrary Lagrangian Eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods. J. Comput. Phys. J. Michael Owen, Mikhail J. Shashkov
2014	J	`jnl`	Compatible, total energy conserving and symmetry preserving arbitrary Lagrangian-Eulerian hydrodynamics in 2D rz - Cylindrical coordinates. J. Comput. Phys. Mack Kenamond, Matthew T. Bement, Mikhail J. Shashkov
2014	J	`jnl`	Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. Milan Kucharik, Mikhail J. Shashkov
2014	J	`jnl`	Constrained optimization framework for interface-aware sub-scale dynamics closure model for multimaterial cells in Lagrangian and arbitrary Lagrangian-Eulerian hydrodynamics. J. Comput. Phys. Andrew Barlow, Ryan N. Hill, Mikhail J. Shashkov
2014	J	`jnl`	Isogeometric analysis of Lagrangian hydrodynamics: Axisymmetric formulation in the rz-cylindrical coordinates. J. Comput. Phys. Yuri Bazilevs, C. C. Long, I. Akkerman, D. J. Benson, Mikhail J. Shashkov
2014	J	`jnl`	Mimetic finite difference method. J. Comput. Phys. Konstantin Lipnikov, Gianmarco Manzini, Mikhail J. Shashkov
2013	J	`jnl`	A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows. J. Sci. Comput. Matthew Jemison, Eva Loch, Mark Sussman, Mikhail J. Shashkov, Marco Arienti, Mitsuhiro Ohta, Yaohong Wang
2013	J	`jnl`	A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. J. Comput. Phys. Shiv Kumar Sambasivan, Mikhail J. Shashkov, Donald E. Burton
2013	J	`jnl`	Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. J. Comput. Phys. Pavel B. Bochev, Denis Ridzal, Mikhail J. Shashkov
2013	J	`jnl`	Isogeometric analysis of Lagrangian hydrodynamics. J. Comput. Phys. Yuri Bazilevs, I. Akkerman, D. J. Benson, Guglielmo Scovazzi, Mikhail J. Shashkov
2013	J	`jnl`	The Symmetric Moment-of-Fluid interface reconstruction algorithm. J. Comput. Phys. Ryan N. Hill, Mikhail J. Shashkov
2012	J	`jnl`	One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. Milan Kucharik, Mikhail J. Shashkov
2011	J	`jnl`	Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. Pavel B. Bochev, Denis Ridzal, Guglielmo Scovazzi, Mikhail J. Shashkov
2011	J	`jnl`	Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. Markus Berndt, Jérôme Breil, Stéphane Galera, Milan Kucharik, Pierre-Henri Maire, Mikhail J. Shashkov
2010	J	`jnl`	A comparative study of interface reconstruction methods for multi-material ALE simulations. J. Comput. Phys. Milan Kucharik, Rao V. Garimella, Samuel P. Schofield, Mikhail J. Shashkov
2010	J	`jnl`	A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. J. Comput. Phys. Konstantin Lipnikov, Mikhail J. Shashkov
2010	Misc	`conf`	A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes. ICCS Konstantin Lipnikov, Mikhail J. Shashkov
2010	Misc	`conf`	Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in rz - cylindrical coordinates. ICCS Andrew Barlow, Donald E. Burton, Mikhail J. Shashkov
2010	J	`jnl`	Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods. J. Comput. Appl. Math. David Bailey, Markus Berndt, Milan Kucharik, Mikhail J. Shashkov
2010	Misc	`conf`	Using the feasible set method for rezoning in ALE. ICCS Markus Berndt, Milan Kucharik, Mikhail J. Shashkov
2009	J	`jnl`	A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. J. Comput. Phys. Dmitri Kuzmin, Mikhail J. Shashkov, Daniil Svyatskiy
2009	J	`jnl`	Adaptive moment-of-fluid method. J. Comput. Phys. Hyung Taek Ahn, Mikhail J. Shashkov
2009	J	`jnl`	Local flux mimetic finite difference methods. Numerische Mathematik Konstantin Lipnikov, Mikhail J. Shashkov, Ivan Yotov
2008	J	`jnl`	Reconstruction of multi-material interfaces from moment data. J. Comput. Phys. Vadim Dyadechko, Mikhail J. Shashkov
2007	—	`conf`	Geometric Algorithms for 3D Interface Reconstruction. IMR Hyung Taek Ahn, Mikhail J. Shashkov
2007	J	`jnl`	Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. J. Comput. Phys. Konstantin Lipnikov, Mikhail J. Shashkov, Daniil Svyatskiy, Yuri V. Vassilevski
2007	J	`jnl`	Multi-material interface reconstruction on generalized polyhedral meshes. J. Comput. Phys. Hyung Taek Ahn, Mikhail J. Shashkov
2006	J	`jnl`	The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. J. Comput. Phys. Amy L. Bauer, Donald E. Burton, E. J. Caramana, Raphaël Loubère, Mikhail J. Shashkov, P. P. Whalen
2005	J	`jnl`	A mortar mimetic finite difference method on non-matching grids. Numerische Mathematik Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov
2005	J	`jnl`	Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes. SIAM J. Numer. Anal. Franco Brezzi, Konstantin Lipnikov, Mikhail J. Shashkov
2005	—	`conf`	Interface Reconstruction in Multi-fluid, Multi-phase Flow Simulations. IMR Rao V. Garimella, Vadim Dyadechko, Blair Swartz, Mikhail J. Shashkov
2005	J	`jnl`	Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals. SIAM J. Numer. Anal. Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov
2004	J	`jnl`	Polygonal surface mesh optimization. Eng. Comput. Rao V. Garimella, Mikhail J. Shashkov
2004	—	`conf`	Reference Jacobian Rezoning Strategy for Arbitrary Lagrangian - Eulerian Methods on Polyhedral Grids. IMR Vadim Dyadechko, Rao V. Garimella, Mikhail J. Shashkov
2003	—	`conf`	Multilevel Accelerated Optimization for Problems in Grid Generation. IMR Markus Berndt, Mikhail J. Shashkov
2002	—	`conf`	Optimization of Surface Mesh Quality Using Local Parametrization. IMR Rao V. Garimella, Mikhail J. Shashkov, Patrick M. Knupp
2001	J	`jnl`	Convergence of mimetic finite difference discretizations of the diffusion equation. J. Num. Math. Markus Berndt, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov
2001	—	`conf`	Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes. IMR Mikhail J. Shashkov, Patrick M. Knupp