World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
39
Citations
7006
World Ranking
2176
National Ranking
918

Research.com Recognitions

  • 2006 - Fellow of Alfred P. Sloan Foundation

Overview

Frédéric Gibou is affiliated with the University of California, Santa Barbara in the United States. Their research primarily spans the field of Engineering, with a strong focus on Computational Mechanics and related subfields.

Their recent publications include studies published predominantly in the Journal of Computational Physics as well as other venues. Notable papers include:

  • "Solving inverse-PDE problems with physics-aware neural networks" (2021, Journal of Computational Physics)
  • "Solving elliptic interface problems with jump conditions on Cartesian grids" (2020, Journal of Computational Physics)
  • "xGFM: Recovering convergence of fluxes in the ghost fluid method" (2020, Journal of Computational Physics)
  • "A single parameter can predict surfactant impairment of superhydrophobic drag reduction" (2023, Proceedings of the National Academy of Sciences)
  • "Direct numerical simulation of incompressible flows on parallel Octree grids" (2021, Journal of Computational Physics)

The research topics they have covered reveal a broad engagement with numerical and computational techniques along with applications in surface science and fluid dynamics. Significant topics of their work include:

  • Model Reduction and Neural Networks
  • Lattice Boltzmann Simulation Studies
  • Surface Modification and Superhydrophobicity
  • Advanced Numerical Methods in Computational Mathematics
  • Computer Graphics and Visualization Techniques
  • Advanced Numerical Analysis Techniques
  • Fluid Dynamics and Heat Transfer

Frequent collaborators in their research are Fernando Temprano-Coleto, Julien R. Landel, Paolo Luzzatto-Fegiz, Luis Ángel Larios-Cárdenas, and Daniil Bochkov. These coauthors have contributed to multiple shared publications.

The main venues where their research is published reflect a strong presence in journals focused on computational and fluid mechanics, including:

  • arXiv (Cornell University)
  • Journal of Computational Physics
  • SSRN Electronic Journal
  • Journal of Fluid Mechanics
  • SIAM Journal on Scientific Computing

Their work covers subfields such as Computational Mechanics, Statistical and Nonlinear Physics, Surfaces, Coatings and Films, Materials Chemistry, and Computer Vision and Pattern Recognition, showcasing an interdisciplinary approach to engineering problems.

Frédéric Gibou was named a Fellow of the Alfred P. Sloan Foundation in 2006, recognizing contributions to their field.

Best Publications

  • Simulating water and smoke with an octree data structure

    Frank Losasso;Frédéric Gibou;Ron Fedkiw

  • A second-order-accurate symmetric discretization of the Poisson equation on irregular domains

    Frederic Gibou;Ronald P. Fedkiw;Li-Tien Cheng;Myungjoo Kang

  • A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change

    Frédéric Gibou;Liguo Chen;Duc Nguyen;Sanjoy Banerjee

  • A review of level-set methods and some recent applications

    Frédéric Gibou;Ronald Fedkiw;Stanley J. Osher

  • A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem

    Frédéric Gibou;Ronald Fedkiw

  • A second order accurate level set method on non-graded adaptive cartesian grids

    Chohong Min;Frédéric Gibou

  • A fast hybrid k-means level set algorithm for segmentation

    F. Gibou

  • A Level Set Approach for the Numerical Simulation of Dendritic Growth

    Frédéric Gibou;Ronald Fedkiw;Russel Caflisch;Stanley Osher

  • An efficient fluid-solid coupling algorithm for single-phase flows

    Yen Ting Ng;Chohong Min;Frédéric Gibou

  • Geometric integration over irregular domains with application to level-set methods

    Chohong Min;Frédéric Gibou

  • Using the Particle Level Set Method and a Second Order Accurate Pressure Boundary Condition for Free Surface Flows

    Doug Enright;Duc Nguyen;Frederic Gibou;Ron Fedkiw

  • Level-set method for island dynamics in epitaxial growth

    C. Ratsch;M. F. Gyure;R. E. Caflisch;F. Gibou

  • A parallel fast sweeping method for the Eikonal equation

    Miles Detrixhe;FréDéRic Gibou;Chohong Min

  • A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids

    Chohong Min;Frédéric Gibou

  • A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids

    Chohong Min;Frédéric Gibou;Hector D. Ceniceros

  • Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions

    Joseph Papac;Frédéric Gibou;Christian Ratsch

  • Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes

    Antoine Chéné;Chohong Min;Frédéric Gibou

  • Enhanced charging kinetics of porous electrodes: surface conduction as a short-circuit mechanism.

    Mohammad Mirzadeh;Frederic Gibou;Todd M. Squires

  • A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids

    Han Chen;Chohong Min;Frédéric Gibou

  • A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive Quad/Octrees

    Arthur Guittet;Maxime Theillard;Frédéric Gibou

  • A Variational Framework for Multiregion Pairwise-Similarity-Based Image Segmentation

    L. Bertelli;B. Sumengen;B.S. Manjunath;F. Gibou

Frequent Co-Authors

Ronald Fedkiw
Ronald Fedkiw Stanford University
Glenn H. Fredrickson
Glenn H. Fredrickson University of California, Santa Barbara
B.S. Manjunath
B.S. Manjunath University of California, Santa Barbara
Russel E. Caflisch
Russel E. Caflisch Courant Institute of Mathematical Sciences
Jeff Moehlis
Jeff Moehlis University of California, Santa Barbara
Stanley Osher
Stanley Osher University of California, Los Angeles
Sanjoy Banerjee
Sanjoy Banerjee City College of New York
Tresa M. Pollock
Tresa M. Pollock University of California, Santa Barbara
Shaowei Chen
Shaowei Chen University of California, Santa Cruz
Hamdi A. Tchelepi
Hamdi A. Tchelepi Stanford University

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

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many graduates consider complementing their math skills with business-focused programs. For instance, a cheapest online marketing degree offers an affordable way to gain expertise in marketing analytics, a field where strong quantitative skills are in high demand.

Many professionals look for accelerated pathways to advance their careers. A one year MBA program provides a fast yet comprehensive option for math graduates aiming for leadership roles in various industries.

Flexibility is another vital consideration. Online programs that are designed to accommodate prior learning, such as an online MBA accepting transfer credits, enable students to leverage previous coursework and reduce time to degree completion.

Additionally, as data continues to drive decision-making, a master in data analytics is an excellent pathway for math graduates interested in interpreting complex datasets and supporting data-driven strategies across sectors.

Best Scientists Citing Frédéric Gibou

Trending Scientists