World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
7881
World Ranking
1778
National Ranking
24

Engineering and Technology

D-Index
45
Citations
8065
World Ranking
5475
National Ranking
111

Overview

Cornelis Vuik is affiliated with Delft University of Technology in the Netherlands. Their research spans the field of Engineering, with a concentration on Computational Mechanics, Electrical and Electronic Engineering, Computational Theory and Mathematics, Environmental Engineering, and Mechanical Engineering. The scope of their work addresses advanced numerical methods, matrix theory, and hydraulic fracturing among other topics.

The scientist has contributed extensively to the following research topics:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Numerical Analysis Techniques
  • Matrix Theory and Algorithms
  • Electromagnetic Scattering and Analysis
  • Numerical methods in engineering
  • Hydraulic Fracturing and Reservoir Analysis
  • Groundwater flow and contamination studies

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Journal of Computational and Applied Mathematics
  • Advances in Water Resources
  • Computer Methods in Applied Mechanics and Engineering
  • Fluids

Recent papers authored or co-authored by Cornelis Vuik include:

  • CO2 Storage in deep saline aquifers: impacts of fractures on hydrodynamic trapping, 2021, International Journal of Greenhouse Gas Control
  • Analysis of hydrodynamic trapping interactions during full-cycle injection and migration of CO2 in deep saline aquifers, 2021, Advances in Water Resources
  • Projection-based embedded discrete fracture model (pEDFM) for flow and heat transfer in real-field geological formations with hexahedral corner-point grids, 2021, Advances in Water Resources
  • An efficient adaptive implicit scheme with equivalent continuum approach for two-phase flow in fractured vuggy porous media, 2022, Advances in Water Resources
  • A stabilized mixed-FE scheme for frictional contact and shear failure analyses in deformable fractured media, 2022, Engineering Fracture Mechanics

They have collaborated frequently with researchers including Matthias Möller, Vandana Dwarka, Hadi Hajibeygi, Roel Tielen, and Luyu Wang.

Cornelis Vuik has authored books published by Springer Nature, such as:

  • Numerical Mathematics and Advanced Applications ENUMATH 2019, 2021
  • Isogeometric Analysis and Applications 2018, 2021

Best Publications

  • GMRESR: a family of nested GMRES methods

    H. A. Van der Vorst;C. Vuik

  • A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems

    Y. A. Erlangga;C. W. Oosterlee;C. Vuik

  • On a class of preconditioners for solving the Helmholtz equation

    Y. A. Erlangga;C. Vuik;C. W. Oosterlee

  • A mass‐conserving Level‐Set method for modelling of multi‐phase flows

    S. P. van der Pijl;A. Segal;C. Vuik;P. Wesseling

  • The superlinear convergence behaviour of GMRES

    H. A. van der Vorst;C. Vuik

  • A comparison of numerical models for one-dimensional Stefan problems

    E. Javierre;C. Vuik;F. J. Vermolen;S. van der Zwaag

  • The dependence of the β-AlFeSi to α-Al(FeMn)Si transformation kinetics in Al–Mg–Si alloys on the alloying elements

    N.C.W. Kuijpers;F.J. Vermolen;C. Vuik;P.T.G. Koenis

  • On the Construction of Deflation-Based Preconditioners

    J. Frank;C. Vuik

  • An Efficient Preconditioned CG Method for the Solution of a Class of Layered Problems with Extreme Contrasts in the Coefficients

    C Vuik;A Segal;J.A Meijerink

  • Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods

    J. M. Tang;R. Nabben;C. Vuik;Y. A. Erlangga

  • Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian

    M. B. van Gijzen;Y. A. Erlangga;C. Vuik

  • Modelling Biogrout: A new ground improvement method based on microbial induced carbonate precipitation

    W. K. van Wijngaarden;F. J. Vermolen;G. A. M. van Meurs;C. Vuik

  • A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow

    R. Nabben;C. Vuik

  • A conservative pressure-correction method for flow at all speeds

    D.R. van der Heul;C. Vuik;P. Wesseling

  • Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation

    Y. A. Erlangga;C. Vuik;C. W. Oosterlee

  • On the impact of quantum computing technology on future developments in high-performance scientific computing

    Matthias Möller;Cornelis Vuik

  • SIMPLE‐type preconditioners for cell‐centered, colocated finite volume discretization of incompressible Reynolds‐averaged Navier–Stokes equations

    C. M. Klaij;C. Vuik

  • A Comparison of Deflation and the Balancing Preconditioner

    R. Nabben;C. Vuik

  • A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation

    C. D. Riyanti;A. Kononov;Y. A. Erlangga;C. Vuik

  • Solution of the discretized incompressible Navier‐Stokes equations with the GMRES method

    C. Vuik

  • A new iterative solver for the time-harmonic wave equation

    C. D. Riyanti;Y. A. Erlangga;Rene Edouard Plessix;Wim A. Mulder

Frequent Co-Authors

S. van der Zwaag
S. van der Zwaag Delft University of Technology
Cornelis W. Oosterlee
Cornelis W. Oosterlee Utrecht University
Chris R. Kleijn
Chris R. Kleijn Delft University of Technology
Michel Verhaegen
Michel Verhaegen Delft University of Technology
Jan Dirk Jansen
Jan Dirk Jansen Delft University of Technology
Jilt Sietsma
Jilt Sietsma Delft University of Technology
Serge P. Hoogendoorn
Serge P. Hoogendoorn Delft University of Technology
H.A. van der Vorst
H.A. van der Vorst Utrecht University
Johannes M. C. Mol
Johannes M. C. Mol Delft University of Technology
Laurens Katgerman
Laurens Katgerman Delft University of Technology

External Links

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Studying Mathematics in the USA opens up diverse career opportunities, many of which extend beyond traditional roles. For those interested in applying mathematical skills to data-driven decision-making, pursuing one of the analytics masters programs is a natural progression. These programs equip students with advanced tools in data analysis, enhancing employability in industries like finance, technology, and healthcare.

For students seeking leadership or business roles, combined expertise in mathematics and management can be highly advantageous. Many look to mba programs easy to get into to gain foundational business knowledge without intense entry barriers. This flexibility allows math graduates to transition smoothly into managerial positions.

Additionally, to boost credentials quickly, candidates might explore the easiest mba programs. These options balance accessibility with quality education, making them suitable for professionals aiming to expand their skill set efficiently.

For experienced individuals targeting executive roles, the best 1 year dba program online offers an accelerated path to a Doctor of Business Administration. This degree emphasizes strategic leadership, perfect for math graduates looking to make an impact at the highest organizational levels.

Best Scientists Citing Cornelis Vuik

Trending Scientists

Recently Published Articles