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ORCIDMikhail J. Shashkov
Mikhail Yu. Shashkov
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- affiliation: Los Alamos National Laboratory, Computational Physics Division, USA
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Journal Articles
- 2023
[j54]Konstantin Lipnikov
, Mikhail J. Shashkov:
Conservative high-order data transfer method on generalized polygonal meshes. J. Comput. Phys. 474: 111822 (2023)- [j53]Mikhail Yu. Shashkov, Evgeny Kikinzon:
Moments-based interface reconstruction, remap and advection. J. Comput. Phys. 479: 111998 (2023) - 2022
- [j52]Hoby Rakotoarivelo, Rao V. Garimella, Angela Herring, Mikhail J. Shashkov, Daniel W. Shevitz, Evgeny Kikinzon, Jan Velechovský, Konstantin Lipnikov, Navamita Ray:
Conservative remapping of material-dependent fields between possibly misaligned material regions. J. Comput. Phys. 466: 111401 (2022) - [j51]Jan Velechovský, Evgeny Kikinzon, Navamita Ray, Hoby Rakotoarivelo, Angela Herring, Mack Kenamond, Konstantin Lipnikov, Mikhail Yu. Shashkov, Rao V. Garimella, Daniel W. Shevitz:
Multi-material swept face remapping on polyhedral meshes. J. Comput. Phys. 469: 111553 (2022) - 2021
- [j50]Mack Kenamond, Dmitri Kuzmin, Mikhail J. Shashkov:
Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics. J. Comput. Phys. 429: 110014 (2021) - [j49]Mack Kenamond, Dmitri Kuzmin, Mikhail J. Shashkov:
A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes. J. Comput. Phys. 435: 110254 (2021) - 2019
- [j48]Tong Wu, Mikhail J. Shashkov, Nathaniel R. Morgan, Dmitri Kuzmin, H. Luo:
An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics. Comput. Math. Appl. 78(2): 258-273 (2019) - [j47]Andrew Barlow, Nathaniel R. Morgan, Mikhail J. Shashkov:
Constrained optimization framework for interface-aware sub-scale dynamics discrete closure model for multimaterial cells in Lagrangian cell-centered hydrodynamics. Comput. Math. Appl. 78(2): 541-564 (2019) - [j46]Matej Klima, Milan Kucharik, Jan Velechovský, Mikhail J. Shashkov:
Second-invariant-preserving Remap of the 2D deviatoric stress tensor in ALE methods. Comput. Math. Appl. 78(2): 654-669 (2019) - [j45]Alexander Z. Zinchenko, Daniil Svyatskiy, Maxim A. Olshanskii, Evgeny Kikinzon, Mikhail J. Shashkov:
A higher order approximate static condensation method for multi-material diffusion problems. J. Comput. Phys. 395: 333-350 (2019) - 2018
- [j44]Milan Kucharik, Guglielmo Scovazzi, Mikhail J. Shashkov, Raphaël Loubère:
A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics. J. Comput. Phys. 354: 1-25 (2018) - [j43]Andrew Barlow, Matej Klima, Mikhail J. Shashkov:
Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics. J. Comput. Phys. 371: 914-944 (2018) - 2017
- [j42]Evgeny Kikinzon, Yuri A. Kuznetsov, Konstantin Lipnikov, Mikhail J. Shashkov:
Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces. J. Comput. Phys. 347: 416-436 (2017) - [j41]Gianmarco Manzini, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov:
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients. SIAM J. Numer. Anal. 55(6): 2956-2981 (2017) - 2016
- [j40]Konstantin Lipnikov, Gianmarco Manzini, J. David Moulton, Mikhail J. Shashkov:
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. J. Comput. Phys. 305: 111-126 (2016) - [j39]Marta D'Elia, Denis Ridzal, Kara J. Peterson, Pavel B. Bochev, Mikhail J. Shashkov:
Optimization-based mesh correction with volume and convexity constraints. J. Comput. Phys. 313: 455-477 (2016) - [j38]Andrew Barlow, Pierre-Henri Maire, William J. Rider, Robert N. Rieben, Mikhail J. Shashkov:
Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. J. Comput. Phys. 322: 603-665 (2016) - 2015
- [j37]Matthew Jemison, Mark Sussman, Mikhail J. Shashkov:
Filament capturing with the Multimaterial Moment-of-Fluid method. J. Comput. Phys. 285: 149-172 (2015) - [j36]Wurigen Bo, Mikhail J. Shashkov:
Adaptive reconnection-based arbitrary Lagrangian Eulerian method. J. Comput. Phys. 299: 902-939 (2015) - 2014
- [j35]Konstantin Lipnikov, Gianmarco Manzini, Mikhail J. Shashkov:
Mimetic finite difference method. J. Comput. Phys. 257: 1163-1227 (2014) - [j34]Milan Kucharik, Mikhail J. Shashkov:
Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. 258: 268-304 (2014) - [j33]Yuri Bazilevs, C. C. Long, I. Akkerman, D. J. Benson, Mikhail J. Shashkov:
Isogeometric analysis of Lagrangian hydrodynamics: Axisymmetric formulation in the rz-cylindrical coordinates. J. Comput. Phys. 262: 244-261 (2014) - [j32]Mack Kenamond, Matthew T. Bement, Mikhail J. Shashkov:
Compatible, total energy conserving and symmetry preserving arbitrary Lagrangian-Eulerian hydrodynamics in 2D rz - Cylindrical coordinates. J. Comput. Phys. 268: 154-185 (2014) - [j31]J. Michael Owen, Mikhail J. Shashkov:
Arbitrary Lagrangian Eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods. J. Comput. Phys. 273: 520-547 (2014) - [j30]Andrew Barlow, Ryan N. Hill, Mikhail J. Shashkov:
Constrained optimization framework for interface-aware sub-scale dynamics closure model for multimaterial cells in Lagrangian and arbitrary Lagrangian-Eulerian hydrodynamics. J. Comput. Phys. 276: 92-135 (2014) - 2013
- [j29]Shiv Kumar Sambasivan, Mikhail J. Shashkov, Donald E. Burton:
A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries. J. Comput. Phys. 237: 251-288 (2013) - [j28]Yuri Bazilevs, I. Akkerman, D. J. Benson, Guglielmo Scovazzi, Mikhail J. Shashkov:
Isogeometric analysis of Lagrangian hydrodynamics. J. Comput. Phys. 243: 224-243 (2013) - [j27]Pavel B. Bochev, Denis Ridzal, Mikhail J. Shashkov:
Fast optimization-based conservative remap of scalar fields through aggregate mass transfer. J. Comput. Phys. 246: 37-57 (2013) - [j26]Ryan N. Hill, Mikhail J. Shashkov:
The Symmetric Moment-of-Fluid interface reconstruction algorithm. J. Comput. Phys. 249: 180-184 (2013) - [j25]Jan Velechovský, Milan Kucharik, Richard Liska, Mikhail Yu. Shashkov, Pavel Váchal:
Symmetry- and essentially-bound-preserving flux-corrected remapping of momentum in staggered ALE hydrodynamics. J. Comput. Phys. 255: 590-611 (2013) - [j24]Matthew Jemison, Eva Loch, Mark Sussman, Mikhail J. Shashkov, Marco Arienti, Mitsuhiro Ohta, Yaohong Wang:
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows. J. Sci. Comput. 54(2-3): 454-491 (2013) - 2012
- [j23]Milan Kucharik, Mikhail J. Shashkov:
One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. 231(7): 2851-2864 (2012) - 2011
- [j22]Pavel B. Bochev, Denis Ridzal, Guglielmo Scovazzi, Mikhail J. Shashkov:
Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. 230(13): 5199-5225 (2011) - [j21]Markus Berndt, Jérôme Breil, Stéphane Galera, Milan Kucharik, Pierre-Henri Maire, Mikhail J. Shashkov:
Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. 230(17): 6664-6687 (2011) - 2010
- [j20]David Bailey, Markus Berndt, Milan Kucharik, Mikhail J. Shashkov:
Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods. J. Comput. Appl. Math. 233(12): 3148-3156 (2010) - [j19]Richard Liska, Mikhail Yu. Shashkov, Pavel Váchal, Burton Wendroff:
Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods. J. Comput. Phys. 229(5): 1467-1497 (2010) - [j18]Milan Kucharik, Rao V. Garimella, Samuel P. Schofield, Mikhail J. Shashkov:
A comparative study of interface reconstruction methods for multi-material ALE simulations. J. Comput. Phys. 229(7): 2432-2452 (2010) - [j17]Raphaël Loubère, Pierre-Henri Maire, Mikhail Yu. Shashkov, Jérôme Breil, Stéphane Galera:
ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method. J. Comput. Phys. 229(12): 4724-4761 (2010) - [j16]Konstantin Lipnikov, Mikhail J. Shashkov:
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. J. Comput. Phys. 229(20): 7911-7941 (2010) - [j15]Dmitri Kuzmin, Matthias Möller, John N. Shadid, Mikhail Yu. Shashkov:
Failsafe flux limiting and constrained data projections for equations of gas dynamics. J. Comput. Phys. 229(23): 8766-8779 (2010) - 2009
- [j14]Hyung Taek Ahn, Mikhail J. Shashkov:
Adaptive moment-of-fluid method. J. Comput. Phys. 228(8): 2792-2821 (2009) - [j13]Dmitri Kuzmin, Mikhail J. Shashkov, Daniil Svyatskiy:
A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems. J. Comput. Phys. 228(9): 3448-3463 (2009) - [j12]Konstantin Lipnikov, Mikhail J. Shashkov, Ivan Yotov:
Local flux mimetic finite difference methods. Numerische Mathematik 112(1): 115-152 (2009) - 2008
- [j11]Raphaël Loubère, Mikhail Yu. Shashkov, Burton Wendroff:
Volume consistency in a staggered grid Lagrangian hydrodynamics scheme. J. Comput. Phys. 227(8): 3731-3737 (2008) - [j10]Vadim Dyadechko, Mikhail J. Shashkov:
Reconstruction of multi-material interfaces from moment data. J. Comput. Phys. 227(11): 5361-5384 (2008) - 2007
- [j9]Hyung Taek Ahn, Mikhail J. Shashkov:
Multi-material interface reconstruction on generalized polyhedral meshes. J. Comput. Phys. 226(2): 2096-2132 (2007) - [j8]Konstantin Lipnikov, Mikhail J. Shashkov, Daniil Svyatskiy, Yuri V. Vassilevski:
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes. J. Comput. Phys. 227(1): 492-512 (2007) - 2006
- [j7]Amy L. Bauer, Donald E. Burton, E. J. Caramana, Raphaël Loubère, Mikhail J. Shashkov, P. P. Whalen:
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics. J. Comput. Phys. 218(2): 572-593 (2006) - 2005
- [j6]Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov:
A mortar mimetic finite difference method on non-matching grids. Numerische Mathematik 102(2): 203-230 (2005) - [j5]Markus Berndt, Konstantin Lipnikov, Mikhail J. Shashkov, Mary F. Wheeler, Ivan Yotov:
Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals. SIAM J. Numer. Anal. 43(4): 1728-1749 (2005) - [j4]Franco Brezzi, Konstantin Lipnikov, Mikhail J. Shashkov:
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes. SIAM J. Numer. Anal. 43(5): 1872-1896 (2005) - 2004
- [j3]Rao V. Garimella, Mikhail J. Shashkov:
Polygonal surface mesh optimization. Eng. Comput. 20(3): 265-272 (2004) - [j2]Richard Liska, Mikhail Yu. Shashkov, Victor G. Ganzha:
Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid. Math. Comput. Simul. 67(1-2): 55-66 (2004) - 2001
- [j1]Markus Berndt, Konstantin Lipnikov, J. David Moulton, Mikhail J. Shashkov:
Convergence of mimetic finite difference discretizations of the diffusion equation. J. Num. Math. 9(4): 265-284 (2001)
Conference and Workshop Papers
- 2010
- [c12]Raphaël Loubère, Pierre-Henri Maire, Mikhail Yu. Shashkov:
2nd workshop on new trends in numerical methods for multi-material compressible fluid flows. ICCS 2010: 1883-1884 - [c11]Markus Berndt, Milan Kucharik, Mikhail J. Shashkov:
Using the feasible set method for rezoning in ALE. ICCS 2010: 1885-1892 - [c10]Andrew Barlow, Donald E. Burton, Mikhail J. Shashkov:
Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in rz - cylindrical coordinates. ICCS 2010: 1893-1901 - [c9]Konstantin Lipnikov, Mikhail J. Shashkov:
A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes. ICCS 2010: 1921-1929 - 2007
- [c8]Hyung Taek Ahn, Mikhail J. Shashkov:
Geometric Algorithms for 3D Interface Reconstruction. IMR 2007: 405-422 - 2005
- [c7]Rao V. Garimella, Vadim Dyadechko, Blair Swartz, Mikhail J. Shashkov:
Interface Reconstruction in Multi-fluid, Multi-phase Flow Simulations. IMR 2005: 19-32 - 2004
- [c6]Vadim Dyadechko, Rao V. Garimella, Mikhail J. Shashkov:
Reference Jacobian Rezoning Strategy for Arbitrary Lagrangian - Eulerian Methods on Polyhedral Grids. IMR 2004: 459-470 - 2003
- [c5]Markus Berndt, Mikhail J. Shashkov:
Multilevel Accelerated Optimization for Problems in Grid Generation. IMR 2003: 351-359 - 2002
- [c4]Rao V. Garimella, Mikhail J. Shashkov, Patrick M. Knupp:
Optimization of Surface Mesh Quality Using Local Parametrization. IMR 2002: 41-52 - 2001
- [c3]Mikhail J. Shashkov, Patrick M. Knupp:
Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes. IMR 2001 - 1991
- [c2]Richard Liska, Mikhail Yu. Shashkov:
Algorithms for Difference Schemes construction on Non-Orthogonal Logically Rectangular Meshes. ISSAC 1991: 419-426 - 1990
- [c1]Victor G. Ganzha, Mikhail Yu. Shashkov:
Local Approximation Study of Difference Operators by Means of REDUCE System. ISSAC 1990: 185-192
Informal and Other Publications
- 1991
- [i1]Mikhail Yu. Shashkov, Andrey V. Solovjov:
Numerical simulation of two-dimensional flows by the free Lagrangian method. Forschungsberichte, TU Munich TUM M 9105: 1-47 (1991)
Coauthor Index
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