Mikhail J. Shashkov

Orcid: 0000-0002-2688-8410

Affiliations:
  • Los Alamos National Laboratory, Computational Physics Division, USA


According to our database1, Mikhail J. Shashkov authored at least 67 papers between 1990 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2023
Moments-based interface reconstruction, remap and advection.
J. Comput. Phys., April, 2023

Conservative high-order data transfer method on generalized polygonal meshes.
J. Comput. Phys., February, 2023

2022
Multi-material swept face remapping on polyhedral meshes.
J. Comput. Phys., 2022

Conservative remapping of material-dependent fields between possibly misaligned material regions.
J. Comput. Phys., 2022

2021
A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes.
J. Comput. Phys., 2021

Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics.
J. Comput. Phys., 2021

2019
A higher order approximate static condensation method for multi-material diffusion problems.
J. Comput. Phys., 2019

An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics.
Comput. Math. Appl., 2019

Second-invariant-preserving Remap of the 2D deviatoric stress tensor in ALE methods.
Comput. Math. Appl., 2019

Constrained optimization framework for interface-aware sub-scale dynamics discrete closure model for multimaterial cells in Lagrangian cell-centered hydrodynamics.
Comput. Math. Appl., 2019

2018
A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics.
J. Comput. Phys., 2018

Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics.
J. Comput. Phys., 2018

2017
Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients.
SIAM J. Numer. Anal., 2017

Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces.
J. Comput. Phys., 2017

2016
The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient.
J. Comput. Phys., 2016

Optimization-based mesh correction with volume and convexity constraints.
J. Comput. Phys., 2016

Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows.
J. Comput. Phys., 2016

2015
Filament capturing with the Multimaterial Moment-of-Fluid method.
J. Comput. Phys., 2015

Adaptive reconnection-based arbitrary Lagrangian Eulerian method.
J. Comput. Phys., 2015

2014
Arbitrary Lagrangian Eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods.
J. Comput. Phys., 2014

Mimetic finite difference method.
J. Comput. Phys., 2014

Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods.
J. Comput. Phys., 2014

Compatible, total energy conserving and symmetry preserving arbitrary Lagrangian-Eulerian hydrodynamics in 2D rz - Cylindrical coordinates.
J. Comput. Phys., 2014

Isogeometric analysis of Lagrangian hydrodynamics: Axisymmetric formulation in the rz-cylindrical coordinates.
J. Comput. Phys., 2014

Constrained optimization framework for interface-aware sub-scale dynamics closure model for multimaterial cells in Lagrangian and arbitrary Lagrangian-Eulerian hydrodynamics.
J. Comput. Phys., 2014

2013
A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows.
J. Sci. Comput., 2013

Symmetry- and essentially-bound-preserving flux-corrected remapping of momentum in staggered ALE hydrodynamics.
J. Comput. Phys., 2013

A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries.
J. Comput. Phys., 2013

The Symmetric Moment-of-Fluid interface reconstruction algorithm.
J. Comput. Phys., 2013

Fast optimization-based conservative remap of scalar fields through aggregate mass transfer.
J. Comput. Phys., 2013

Isogeometric analysis of Lagrangian hydrodynamics.
J. Comput. Phys., 2013

2012
One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods.
J. Comput. Phys., 2012

2011
Formulation, analysis and numerical study of an optimization-based conservative interpolation (remap) of scalar fields for arbitrary Lagrangian-Eulerian methods.
J. Comput. Phys., 2011

Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods.
J. Comput. Phys., 2011

2010
2nd workshop on new trends in numerical methods for multi-material compressible fluid flows.
Proceedings of the International Conference on Computational Science, 2010

A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes.
Proceedings of the International Conference on Computational Science, 2010

Using the feasible set method for rezoning in ALE.
Proceedings of the International Conference on Computational Science, 2010

Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in rz - cylindrical coordinates.
Proceedings of the International Conference on Computational Science, 2010

ReALE: A reconnection-based arbitrary-Lagrangian-Eulerian method.
J. Comput. Phys., 2010

Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods.
J. Comput. Phys., 2010

A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes.
J. Comput. Phys., 2010

Failsafe flux limiting and constrained data projections for equations of gas dynamics.
J. Comput. Phys., 2010

A comparative study of interface reconstruction methods for multi-material ALE simulations.
J. Comput. Phys., 2010

Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods.
J. Comput. Appl. Math., 2010

2009
Local flux mimetic finite difference methods.
Numerische Mathematik, 2009

A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems.
J. Comput. Phys., 2009

Adaptive moment-of-fluid method.
J. Comput. Phys., 2009

2008
Volume consistency in a staggered grid Lagrangian hydrodynamics scheme.
J. Comput. Phys., 2008

Reconstruction of multi-material interfaces from moment data.
J. Comput. Phys., 2008

2007
Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes.
J. Comput. Phys., 2007

Multi-material interface reconstruction on generalized polyhedral meshes.
J. Comput. Phys., 2007

Geometric Algorithms for 3D Interface Reconstruction.
Proceedings of the 16th International Meshing Roundtable, 2007

2006
The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics.
J. Comput. Phys., 2006

2005
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes.
SIAM J. Numer. Anal., 2005

Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals.
SIAM J. Numer. Anal., 2005

A mortar mimetic finite difference method on non-matching grids.
Numerische Mathematik, 2005

Interface Reconstruction in Multi-fluid, Multi-phase Flow Simulations.
Proceedings of the 14th International Meshing Roundtable, 2005

2004
Analysis and optimization of inner products for mimetic finite difference methods on a triangular grid.
Math. Comput. Simul., 2004

Polygonal surface mesh optimization.
Eng. Comput., 2004

Reference Jacobian Rezoning Strategy for Arbitrary Lagrangian - Eulerian Methods on Polyhedral Grids.
Proceedings of the 13th International Meshing Roundtable, 2004

2003
Multilevel Accelerated Optimization for Problems in Grid Generation.
Proceedings of the 12th International Meshing Roundtable, 2003

2002
Optimization of Surface Mesh Quality Using Local Parametrization.
Proceedings of the 11th International Meshing Roundtable, 2002

2001
Convergence of mimetic finite difference discretizations of the diffusion equation.
J. Num. Math., 2001

Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes.
Proceedings of the 10th International Meshing Roundtable, 2001

1991
Numerical simulation of two-dimensional flows by the free Lagrangian method
Forschungsberichte, TU Munich, 1991

Algorithms for Difference Schemes construction on Non-Orthogonal Logically Rectangular Meshes.
Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation, 1991

1990
Local Approximation Study of Difference Operators by Means of REDUCE System.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 1990


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