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Mathematics

D-Index
38
Citations
6313
World Ranking
2337
National Ranking
990

Overview

Konstantin Lipnikov is affiliated with Los Alamos National Laboratory in the United States. Their research primarily focuses on engineering, with a strong emphasis on computational mechanics and related fields. The scope of their work spans various specialized areas within engineering, including computational fluid dynamics and aerodynamics, advanced numerical methods in computational mathematics, and groundwater flow and contamination studies.

The scientist has contributed to topics such as:

  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Numerical Methods in Computational Mathematics
  • Groundwater flow and contamination studies
  • Computer Graphics and Visualization Techniques
  • Hydraulic Fracturing and Reservoir Analysis
  • Fluid Dynamics Simulations and Interactions
  • Lattice Boltzmann Simulation Studies

Lipnikov's frequent publication venues include:

  • Journal of Computational Physics
  • Advances in Water Resources
  • SIAM Journal on Scientific Computing
  • SSRN Electronic Journal
  • arXiv (Cornell University)

Frequent co-authors collaborating with Lipnikov are:

  • Rao Garimella
  • D. Moulton
  • Evgeny Kikinzon
  • Mikhail Shashkov
  • Jan Velechovský

Some recent papers exemplifying Lipnikov's research include:

  • Verification benchmarks for single-phase flow in three-dimensional fractured porous media, 2020, Advances in Water Resources
  • Coupling surface flow and subsurface flow in complex soil structures using mimetic finite differences, 2020, Advances in Water Resources
  • Multidimensional Staggered Grid Residual Distribution Scheme for Lagrangian Hydrodynamics, 2020, SIAM Journal on Scientific Computing
  • Reactive transport modeling for supporting climate resilience at groundwater contamination sites, 2022, Hydrology and earth system sciences
  • Conservative high-order discontinuous Galerkin remap scheme on curvilinear polyhedral meshes, 2020, Journal of Computational Physics

Lipnikov's work in computational mechanics is reflected in a significant number of publications, demonstrating expertise in developing numerical methods and simulations that address complex fluid and mechanical systems. Their studies often involve interdisciplinary applications that intersect with environmental engineering and computer graphics, which illustrates a broad and integrated scientific approach.

Best Publications

  • Mimetic finite difference method

    Konstantin Lipnikov;Gianmarco Manzini;Mikhail Shashkov

  • A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES

    Franco Brezzi;Konstantin Lipnikov;Valeria Simoncini

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

    Franco Brezzi;Konstantin Lipnikov;Mikhail Shashkov

  • The Mimetic Finite Difference Method for Elliptic Problems

    Lourenço Beirão da Veiga;Konstantin Lipnikov;Gianmarco Manzini

  • The nonconforming virtual element method

    Blanca Pilar Ayuso De Dios;Konstantin Lipnikov;Gianmarco Manzini

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

    K. Lipnikov;M. Shashkov;D. Svyatskiy;Yu. Vassilevski

  • Mimetic finite differences for elliptic problems

    Franco Brezzi;Annalisa Buffa;Konstantin Lipnikov

  • Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes

    K. Lipnikov;D. Svyatskiy;Y. Vassilevski

  • A new discretization methodology for diffusion problems on generalized polyhedral meshes

    Franco Brezzi;Konstantin Lipnikov;Mikhail Shashkov;Valeria Simoncini

  • Local flux mimetic finite difference methods

    Konstantin Lipnikov;Mikhail Shashkov;Ivan Yotov

  • The mimetic finite difference method on polygonal meshes for diffusion-type problems ∗

    Y. Kuznetsov;K. Lipnikov;M. Shashkov

  • Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes

    L. Beirão da Veiga;K. Lipnikov;G. Manzini

  • Mimetic finite difference methods for diffusion equations on non-orthogonal non-conformal meshes

    Konstantin Lipnikov;Jim Morel;Mikhail Shashkov

  • The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes

    Konstantin Lipnikov;Mikhail Shashkov;Daniil Svyatskiy

  • Mimetic finite difference method for the Stokes problem on polygonal meshes

    L. Beirão da Veiga;V. Gyrya;K. Lipnikov;G. Manzini

  • CONVERGENCE OF MIMETIC FINITE DIFFERENCE METHOD FOR DIFFUSION PROBLEMS ON POLYHEDRAL MESHES WITH CURVED FACES

    Franco Brezzi;Konstantin Lipnikov;Mikhail Shashkov

  • A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes

    K. Lipnikov;D. Svyatskiy;Y. Vassilevski

  • Verification benchmarks for single-phase flow in three-dimensional fractured porous media

    Inga Berre;Wietse M. Boon;Bernd Flemisch;Alessio Fumagalli;Alessio Fumagalli

  • Convergence of mimetic finite difference discretizations of the diffusion equation

    Markus Berndt;Konstantin Lipnikov;J. David Moulton;Mikhail J. Shashkov

  • High-order mimetic finite difference method for diffusion problems on polygonal meshes

    Vitaliy Gyrya;Konstantin Lipnikov

  • The nonconforming virtual element method

    B. Ayuso de Dios;K. Lipnikov;G. Manzini

Frequent Co-Authors

Gianmarco Manzini
Gianmarco Manzini Los Alamos National Laboratory
Mikhail Shashkov
Mikhail Shashkov Los Alamos National Laboratory
Franco Brezzi
Franco Brezzi National Research Council (CNR)
L. Beirão da Veiga
L. Beirão da Veiga University of Milano-Bicocca
Ivan Yotov
Ivan Yotov University of Pittsburgh
James A. Davis
James A. Davis Lawrence Berkeley National Laboratory
Mary F. Wheeler
Mary F. Wheeler The University of Texas at Austin
Rémi Abgrall
Rémi Abgrall University of Zurich
Valeria Simoncini
Valeria Simoncini University of Bologna
Scott L. Painter
Scott L. Painter Oak Ridge National Laboratory

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