Mikhail Yu. Shashkov

Computational Mechanics · 2001–2014

A researcher in the Science corpus: 8 papers; trusts 21 researchers and is trusted by 54 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 31 citations into it; #452 of 10,001 by trust here, #842 by citations
• Mechanics of Materials — 13 citations into it
• Computational Theory and Mathematics — 11 citations into it; #809 of 12,182 by trust here, #1,667 by citations
• Numerical Analysis — 9 citations into it; #142 of 3,586 by trust here, #159 by citations
• Electrical and Electronic Engineering — 8 citations into it

Whom Mikhail Yu. Shashkov trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Franco Brezzi
2. Konstantin Lipnikov
3. Douglas N. Arnold
4. Francois Hermeline
5. Fernando Lisboa Teixeira
6. Ken Mattsson
7. L. Beirão da Veiga
8. Robert Eymard
9. Komla Domelevo
10. Patrick M. Knupp

Who trusts Mikhail Yu. Shashkov overall

1. Franco Brezzi
2. L. Beirão da Veiga
3. Gianmarco Manzini
4. Konstantin Lipnikov
5. Paola Francesca Antonietti
6. Junping Wang
7. Claudio Paniconi
8. Blanca Ayuso de Dios
9. Beirão da Veiga
10. Bernardo Cockburn

Papers from Mikhail Yu. Shashkov's perspective

Ordered by how strongly the researchers Mikhail Yu. Shashkov trusts endorse each paper. Same corpus, a different order for every researcher.

1. A tensor artificial viscosity using a mimetic finite difference algorithm
2. Mimetic finite differences for elliptic problems
3. Conforming polygonal finite elements
4. An a posteriori error estimator for the mimetic finite difference approximation of elliptic problems
5. Extended finite element method on polygonal and quadtree meshes
6. Multiscale mixed/mimetic methods on corner-point grids
7. Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes (SIAM Journal on Numerical Analysis)
8. A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
9. Mixed Finite Elements, Compatibility Conditions, and Applications
10. A Finite Volume Method for the Approximation of Diffusion Operators on Distorted Meshes

Their papers

• Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes (2005) — 387 citations
• A new discretization methodology for diffusion problems on generalized polyhedral meshes (2007) — 148 citations
• Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient (2001) — 62 citations
• Mimetic finite difference method (2014) — 471 citations
• A constrained finite element method satisfying the discrete maximum principle for anisotropic diusion problems on arbitrary meshes. (2008) — 63 citations
• Untangling of 2D meshes in ALE simulations (2004) — 63 citations
• Mimetic Finite Difference Methods for Diffusion Equations (2002) — 155 citations
• A tensor artificial viscosity using a mimetic finite difference algorithm (2001) — 176 citations