Konstantin Lipnikov

5.0k total citations · 1 hit paper
94 papers, 3.6k citations indexed

About

Konstantin Lipnikov is a scholar working on Computational Mechanics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, Konstantin Lipnikov has authored 94 papers receiving a total of 3.6k indexed citations (citations by other indexed papers that have themselves been cited), including 75 papers in Computational Mechanics, 26 papers in Numerical Analysis and 21 papers in Computational Theory and Mathematics. Recurrent topics in Konstantin Lipnikov's work include Advanced Numerical Methods in Computational Mathematics (66 papers), Computational Fluid Dynamics and Aerodynamics (33 papers) and Differential Equations and Numerical Methods (20 papers). Konstantin Lipnikov is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (66 papers), Computational Fluid Dynamics and Aerodynamics (33 papers) and Differential Equations and Numerical Methods (20 papers). Konstantin Lipnikov collaborates with scholars based in United States, Italy and Russia. Konstantin Lipnikov's co-authors include Mikhail Shashkov, Gianmarco Manzini, Franco Brezzi, D. Svyatskiy, Yuri Vassilevski, L. Beirão da Veiga, Valeria Simoncini, Vitaliy Gyrya, Blanca Ayuso de Dios and Ivan Yotov and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and SIAM Journal on Numerical Analysis.

In The Last Decade

Konstantin Lipnikov

87 papers receiving 3.4k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Mimetic finite difference method

2013 313 citations Konstantin Lipnikov, Gianmarco Manzini et al. Journal of Computational Physics profile →

Peers

Konstantin Lipnikov

CTM

EEE

Gianmarco Manzini Italy

Alfredo Bermúdez Spain

Jan Nordström Sweden

Robert Eymard France

William Layton United States

F. Bassi Italy

Mary F. Wheeler United States

Philip Gresho United States

Todd Arbogast United States

Rémi Abgrall France

Gianmarco Manzini Italy

Konstantin Lipnikov

3.8k ×1.2

2.0k ×1.8

1.2k ×1.2

CTM

773 ×0.9

1.1k ×1.5

EEE

Citations per year, relative to Konstantin Lipnikov Konstantin Lipnikov (= 1×) peers Gianmarco Manzini

Countries citing papers authored by Konstantin Lipnikov

Since Specialization

Citations

This map shows the geographic impact of Konstantin Lipnikov's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Konstantin Lipnikov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Konstantin Lipnikov more than expected).

Fields of papers citing papers by Konstantin Lipnikov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Konstantin Lipnikov. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Konstantin Lipnikov. The network helps show where Konstantin Lipnikov may publish in the future.

Co-authorship network of co-authors of Konstantin Lipnikov

This figure shows the co-authorship network connecting the top 25 collaborators of Konstantin Lipnikov. A scholar is included among the top collaborators of Konstantin Lipnikov based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Konstantin Lipnikov. Konstantin Lipnikov is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Molins, Sergi, Jeffrey Johnson, Glenn Hammond, et al.. (2025). Alquimia v1.0: a generic interface to biogeochemical codes – a tool for interoperable development, prototyping and benchmarking for multiphysics simulators. Geoscientific model development. 18(11). 3241–3263.

Lipnikov, Konstantin, et al.. (2024). Convergency analysis of the high-order mimetic finite difference method. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information).

Shashkov, Mikhail & Konstantin Lipnikov. (2023). Remapping Between Meshes with Isoparametric Cells: a Case Study. Communications on Applied Mathematics and Computation. 6(3). 1551–1574.

Xu, Zexuan, Haruko Wainwright, Miles Denham, et al.. (2022). Reactive transport modeling for supporting climate resilience at groundwater contamination sites. Hydrology and earth system sciences. 26(3). 755–773. 6 indexed citations

Xu, Zexuan, Haruko Wainwright, Miles Denham, et al.. (2021). Reactive Transport Modeling for Supporting Climate Resilience at Groundwater Contamination Sites. 5 indexed citations

Barros, Felipe P. J. de, Boris Faybishenko, Miles Denham, et al.. (2019). Climate change impact on residual contaminants under sustainable remediation. Journal of Contaminant Hydrology. 226. 103518–103518. 23 indexed citations

Lipnikov, Konstantin & Nathaniel Morgan. (2019). A high-order discontinuous Galerkin method for level set problems on polygonal meshes. Journal of Computational Physics. 397. 108834–108834. 5 indexed citations

Lipnikov, Konstantin, Gianmarco Manzini, D. Moulton, & Mikhail Shashkov. (2015). The mimetic finite difference method for elliptic and parabolic problems with a staggered discretization of diffusion coefficient. Journal of Computational Physics. 305. 111–126. 25 indexed citations

Molins, Sergi, et al.. (2014). Amanzi: An Open-Source Multi-process Simulator for Environmental Applications. AGU Fall Meeting Abstracts. 2014. 1 indexed citations

10.

Lipnikov, Konstantin, et al.. (2013). Discontinuous Galerkin and mimetic finite difference methods for coupled Stokes–Darcy flows on polygonal and polyhedral grids. Numerische Mathematik. 126(2). 321–360. 65 indexed citations

11.

Gyrya, Vitaliy & Konstantin Lipnikov. (2012). M-ADAPTATION METHOD FOR ACOUSTIC WAVE EQUATION ON SQUARE MESHES. Journal of Computational Acoustics. 20(4). 1250022–1250022. 18 indexed citations

12.

Gyrya, Vitaliy, Konstantin Lipnikov, Igor S. Aranson, & Leonid Berlyand. (2010). Effective shear viscosity and dynamics of suspensions of micro-swimmers from small to moderate concentrations. Journal of Mathematical Biology. 62(5). 707–740. 17 indexed citations

13.

Lipnikov, Konstantin & Mikhail Shashkov. (2010). A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes. Journal of Computational Physics. 229(20). 7911–7941. 27 indexed citations

14.

Veiga, L. Beirão da, Vitaliy Gyrya, Konstantin Lipnikov, & Gianmarco Manzini. (2009). Mimetic finite difference method for the Stokes problem on polygonal meshes. Journal of Computational Physics. 228(19). 7215–7232. 73 indexed citations

15.

Brezzi, Franco, Annalisa Buffa, & Konstantin Lipnikov. (2008). Mimetic finite differences for elliptic problems. ESAIM Mathematical Modelling and Numerical Analysis. 43(2). 277–295. 142 indexed citations

16.

Vassilevski, Yuri, et al.. (2005). Hessian-based anisotropic mesh adaptation in domains with discrete boundaries. Russian Journal of Numerical Analysis and Mathematical Modelling. 20(4). 4 indexed citations

17.

Berndt, Markus, Konstantin Lipnikov, Mikhail Shashkov, Mary F. Wheeler, & Ivan Yotov. (2005). A mortar mimetic finite difference method on non-matching grids. Numerische Mathematik. 102(2). 203–230. 15 indexed citations

18.

Lipnikov, Konstantin & Yuri Vassilevski. (2004). Error Estimates for Hessian-Based Mesh Adaptation Algorithms with Control of Adaptivity.. IMR. 21(9). 345–352. 3 indexed citations

19.

Lipnikov, Konstantin, Jim E. Morel, & Mikhail Shashkov. (2004). Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes. Journal of Computational Physics. 199(2). 589–597. 86 indexed citations

20.

Berndt, Markus, Konstantin Lipnikov, D. Moulton, & Mikhail Shashkov. (2001). Convergence of mimetic finite difference discretizations of the diffusion equation. Journal of Numerical Mathematics. 9(4). 48 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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