Mikhail J. Shashkov

发表

Convergence of mimetic finite difference discretizations of the diffusion equation

J. David Moulton, Markus Berndt, Konstantin Lipnikov, 2001, J. Num. Math..

Arbitrary Lagrangian Eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods

J. Michael Owen, Mikhail J. Shashkov, M. Shashkov, 2013, J. Comput. Phys..

A higher order approximate static condensation method for multi-material diffusion problems

Maxim A. Olshanskii, Daniil Svyatskiy, Mikhail J. Shashkov, 2019, J. Comput. Phys..

A mimetic tensor artificial viscosity method for arbitrary polyhedral meshes

Konstantin Lipnikov, Mikhail J. Shashkov, M. Shashkov, 2010, ICCS.

Optimization-Based Reference-Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Meshes

Patrick M. Knupp, Mikhail J. Shashkov, P. Knupp, 2001, IMR.

One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods

Mikhail J. Shashkov, Milan Kucharik, M. Shashkov, 2012, J. Comput. Phys..

Constrained optimization framework for interface-aware sub-scale dynamics closure model for multimaterial cells in Lagrangian and arbitrary Lagrangian-Eulerian hydrodynamics

R. N. Hill, Mikhail J. Shashkov, Andrew Barlow, 2014, J. Comput. Phys..

The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics

Raphaël Loubère, Donald E. Burton, Mikhail J. Shashkov, 2006, J. Comput. Phys..

Second-invariant-preserving Remap of the 2D deviatoric stress tensor in ALE methods

Matej Klima, Mikhail J. Shashkov, Milan Kucharik, 2019, Comput. Math. Appl..

Filament capturing with the Multimaterial Moment-of-Fluid method

Mark Sussman, Matthew Jemison, Mikhail J. Shashkov, 2015, J. Comput. Phys..

Reference Jacobian Rezoning Strategy for Arbitrary Lagrangian - Eulerian Methods on Polyhedral Grids

Rao V. Garimella, Mikhail J. Shashkov, Vadim Dyadechko, 2004, IMR.

Compatible, energy and symmetry preserving 2D lagrangian hydrodynamics in rz - cylindrical coordinates

Donald E. Burton, Mikhail J. Shashkov, Andrew Barlow, 2010, ICCS.

Compatible, total energy conserving and symmetry preserving arbitrary Lagrangian-Eulerian hydrodynamics in 2D rz - Cylindrical coordinates

Mack Kenamond, Mikhail J. Shashkov, Matthew T. Bement, 2014, J. Comput. Phys..

A mortar mimetic finite difference method on non-matching grids

Mary F. Wheeler, Ivan Yotov, Markus Berndt, 2005, Numerische Mathematik.

Multi-material interface reconstruction on generalized polyhedral meshes

Hyung Taek Ahn, Mikhail J. Shashkov, M. Shashkov, 2007, J. Comput. Phys..

The Symmetric Moment-of-Fluid interface reconstruction algorithm

Mikhail J. Shashkov, Ryan N. Hill, 2013, J. Comput. Phys..

Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces

Yuri A. Kuznetsov, Konstantin Lipnikov, Mikhail J. Shashkov, 2017, J. Comput. Phys..

Local flux mimetic finite difference methods

Ivan Yotov, Konstantin Lipnikov, Mikhail J. Shashkov, 2009, Numerische Mathematik.

Adaptive moment-of-fluid method

Hyung Taek Ahn, Mikhail J. Shashkov, M. Shashkov, 2009, J. Comput. Phys..

Isogeometric analysis of Lagrangian hydrodynamics: Axisymmetric formulation in the rz-cylindrical coordinates

C. C. Long, I. Akkerman, Mikhail J. Shashkov, 2014, J. Comput. Phys..

Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes

Daniil Svyatskiy, Yuri V. Vassilevski, Konstantin Lipnikov, 2007, J. Comput. Phys..

Reduced-dissipation remapping of velocity in staggered arbitrary Lagrangian-Eulerian methods

David Bailey, Markus Berndt, Mikhail J. Shashkov, 2010, J. Comput. Appl. Math..

A cell-centered Lagrangian finite volume approach for computing elasto-plastic response of solids in cylindrical axisymmetric geometries

Donald E. Burton, Mikhail J. Shashkov, Shiv Kumar Sambasivan, 2013, J. Comput. Phys..

Optimization-based mesh correction with volume and convexity constraints

Pavel B. Bochev, Kara J. Peterson, Marta D'Elia, 2016, J. Comput. Phys..

A multi-scale residual-based anti-hourglass control for compatible staggered Lagrangian hydrodynamics

Raphaël Loubère, Guglielmo Scovazzi, Mikhail J. Shashkov, 2018, J. Comput. Phys..

Remapping - Mesh Data Transfer

Mikhail J. Shashkov, 2012 .

Adaptive reconnection-based arbitrary Lagrangian Eulerian method

Mikhail J. Shashkov, Wurigen Bo, M. Shashkov, 2015, J. Comput. Phys..

Multilevel Accelerated Optimization for Problems in Grid Generation

Markus Berndt, Mikhail J. Shashkov, M. Shashkov, 2022 .

Interface Reconstruction in Multi-fluid, Multi-phase Flow Simulations

Rao V. Garimella, Mikhail J. Shashkov, Vadim Dyadechko, 2005, IMR.

Reconstruction of multi-material interfaces from moment data

Mikhail J. Shashkov, Vadim Dyadechko, M. Shashkov, 2008, J. Comput. Phys..

A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems

Daniil Svyatskiy, Dmitri Kuzmin, Mikhail J. Shashkov, 2009, J. Comput. Phys..

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

Pavel B. Bochev, Guglielmo Scovazzi, Mikhail J. Shashkov, 2011, J. Comput. Phys..

A Coupled Level Set-Moment of Fluid Method for Incompressible Two-Phase Flows

Mark Sussman, Matthew Jemison, Marco Arienti, 2013, J. Sci. Comput..

Optimization of Surface Mesh Quality Using Local Parametrization

Rao V. Garimella, Patrick M. Knupp, Mikhail J. Shashkov, 2002, IMR.

Conservative multi-material remap for staggered multi-material Arbitrary Lagrangian-Eulerian methods

Mikhail J. Shashkov, Milan Kucharik, M. Shashkov, 2014, J. Comput. Phys..

Isogeometric analysis of Lagrangian hydrodynamics

I. Akkerman, Guglielmo Scovazzi, Mikhail J. Shashkov, 2013, J. Comput. Phys..

Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals

Mary F. Wheeler, Ivan Yotov, Markus Berndt, 2005, SIAM J. Numer. Anal..

Geometric Algorithms for 3D Interface Reconstruction

Hyung Taek Ahn, Mikhail J. Shashkov, M. Shashkov, 2007, IMR.

A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes

Konstantin Lipnikov, Mikhail J. Shashkov, M. Shashkov, 2010, J. Comput. Phys..

Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics

Matej Klima, Mikhail J. Shashkov, Andrew Barlow, 2018, J. Comput. Phys..

Polygonal surface mesh optimization

Rao V. Garimella, Mikhail J. Shashkov, 2004, Engineering with Computers.

Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods

Jérôme Breil, Pierre-Henri Maire, Markus Berndt, 2011, J. Comput. Phys..

A comparative study of interface reconstruction methods for multi-material ALE simulations

Rao V. Garimella, Samuel P. Schofield, Mikhail J. Shashkov, 2010 .

Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows

William J. Rider, Pierre-Henri Maire, Mikhail J. Shashkov, 2016, J. Comput. Phys..

Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

Konstantin Lipnikov, Mikhail J. Shashkov, Franco Brezzi, 2005, SIAM J. Numer. Anal..

Convergence Analysis of the mimetic Finite Difference Method for Elliptic Problems with Staggered Discretizations of Diffusion Coefficients

Gianmarco Manzini, J. David Moulton, Konstantin Lipnikov, 2016, SIAM J. Numer. Anal..

Mimetic finite difference method

Gianmarco Manzini, Konstantin Lipnikov, Mikhail J. Shashkov, 2014, J. Comput. Phys..

Using the feasible set method for rezoning in ALE

Markus Berndt, Mikhail J. Shashkov, Milan Kucharik, 2010, ICCS.

The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient

Gianmarco Manzini, J. David Moulton, Konstantin Lipnikov, 2016, J. Comput. Phys..

Fast optimization-based conservative remap of scalar fields through aggregate mass transfer

Pavel B. Bochev, Mikhail J. Shashkov, Denis Ridzal, 2013, J. Comput. Phys..

A positivity-preserving and conservative intersection-distribution-based remapping algorithm for staggered ALE hydrodynamics on arbitrary meshes

Dmitri Kuzmin, Mack Kenamond, Mikhail J. Shashkov, 2021, J. Comput. Phys..

A Compatible Lagrangian Hydrodynamics Algorithm for Unstructured Grids

Mikhail J. Shashkov, James C. Campbell, M. Shashkov, 2003 .