Konstantin Lipnikov

Computational Mechanics · 2005–2014

A researcher in the Science corpus: 6 papers; trusts 24 researchers and is trusted by 59 researchers here, as inferred from the citation graph.

Subfields

• Computational Mechanics — 42 citations into it; #346 of 10,001 by trust here, #535 by citations
• Mechanics of Materials — 20 citations into it; #870 of 6,291 by trust here, #1,992 by citations
• Computational Theory and Mathematics — 16 citations into it; #859 of 12,182 by trust here, #1,667 by citations
• Electrical and Electronic Engineering — 10 citations into it; #7,594 of 16,539 by trust here, #12,348 by citations
• Applied Mathematics — 9 citations into it
• Numerical Analysis — 8 citations into it; #88 of 3,586 by trust here, #105 by citations

Whom Konstantin Lipnikov trusts overall

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

1. Franco Brezzi
2. Mikhail Yu. Shashkov
3. Douglas N. Arnold
4. L. Beirão da Veiga
5. Francois Hermeline
6. Fernando Lisboa Teixeira
7. Ken Mattsson
8. Robert Eymard
9. Komla Domelevo
10. Susanne C. Brenner

Who trusts Konstantin Lipnikov overall

1. L. Beirão da Veiga
2. Gianmarco Manzini
3. Franco Brezzi
4. Paola Francesca Antonietti
5. Blanca Ayuso de Dios
6. Stefano Berrone
7. Giuseppe Vacca
8. Bernardo Cockburn
9. Arun L. Gain
10. Beirão da Veiga

Papers from Konstantin Lipnikov's perspective

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

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

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
• The nonconforming virtual element method (2014) — 301 citations
• Mimetic finite difference method (2014) — 471 citations
• Mimetic finite differences for elliptic problems (2009) — 204 citations
• A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES (2005) — 421 citations