University of California, Santa Barbara

Faculty Profile

Frederic Gibou

Associate Professor

Mechanical Engineering
Computer Science

Frederic Gibou


Department of Mechanical and Enviromental Engineering
University of California
Santa Barbara, CA 93106

tel: (805) 893-7152
fax: (805) 893-8651

Personal web site

Research Description

Frédéric Gibou's research is focused on the design and the applications of new high resolution multiscale computational algorithms for a variety of applications including materials science, multiphase flows at the micro/nanoscale, computer vision with an emphasis on the segmentation of medical images and computer graphics.


Frédéric Gibou received his PhD from the Applied Mathematics Department at UCLA, and did his post-doctoral research in the Departments of Mathematics and Computer Science at Stanford University. He was awarded a NSF Mathematical Sciences Postdoctoral Fellowship and a Alfred P. Sloan fellowship in Mathematics. Frédéric is a faculty member in the Department of Mechanical Engineering, the Department of Computer Science and a core faculty member in the Computational Science and Engineering program. He is also a faculty member in the Department of Mathematics by courtesy.


  • CDCC


  • NSF Mathematical Sciences Postdoctoral Fellowship
  • Regent’s Junior Faculty Fellowship
  • Sloan Research Fellowship
  • The Robert Sorgenfrey Distinguished Teaching Award

Selected Publications

See complete list of publications
  • A Level Set Based Sharp Interface Method for the Multiphase Incompressible Navier-Stokes Equations with Phase Change, J. Comput. Phys., 2006, Gibou, F., Chen, L., Nguyen, D., and Banerjee, S.,
  • A Second Order Accurate Projection Method for the Incompressible Navier-Stokes Equations on Fully Adaptive Grids, J. Comput. Phys., 2006, Min, C.-H., and Gibou, F., web link
  • A Supra-Convergent Finite Difference Scheme for the Variable Coefficient Poisson Equation on Fully Adaptive Grids, J. Comput. Phys., 2006, Min, C.-H, Gibou, F., and Ceniceros, H
  • A Fourth Order Accurate Discretization for the Laplace and Heat Equations on Arbitrary Domains, with Applications to the Stefan Problem, J. Comput. Phys., 202, 2005, 577-601, Gibou, F. and Fedkiw, R.
  • Simulating Water and Smoke with an Octree Data Structure, SIGGRAPH 2004, ACM TOG 23, 2004, 457-462, Losasso, F., Gibou, F. and Fedkiw, R.
  • A Level Set Approach for the Numerical Simulation of Dendritic Growth, J. Sci. Comput, 19, 2003, 183-199, Gibou, F., Fedkiw, R. Caflisch, R. and Osher S.
  • Capture Numbers in Rate Equations and Scaling Laws for Epitaxial Growth, Phys. Rev. B, 67, 2003, 155403, Gibou, F., Ratsch, C., and Caflisch, R.
  • Using the Particle Level Set Method and a Second Order Accurate Pressure Boundary Condition for Free Surface Flows, Proc. of the 4th ASME-JSME Joint Fluids Eng. Conf., 2003, 1-6, Enright, D., Nguyen, D., Gibou, F. and Fedkiw, R.
  • A Second Order Accurate Symmetric Discretization of the Poisson Equation on Irregular Domains, J. Comput. Phys, 176, 2002, 205-227, Gibou, F., Fedkiw, R., Cheng, L.-T. and Kang, M.
  • Fast Hybrid k-Means Level Set Algorithm For Segmentation, Stanford Technical Report, 2002, Gibou, F. and Fedkiw

contact mechanical engineering