Frédéric Gibou

Affiliations:
  • University of California, Santa Barbara, USA


According to our database1, Frédéric Gibou authored at least 71 papers between 2003 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
A numerical method for sharp-interface simulations of multicomponent alloy solidification.
J. Comput. Phys., December, 2023

JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities.
J. Comput. Phys., November, 2023

Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method.
J. Comput. Phys., April, 2023

2022
Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-set Method.
J. Sci. Comput., 2022

Efficient calculation of fully resolved electrostatics around large biomolecules.
J. Comput. Phys., 2022

Error-correcting neural networks for semi-Lagrangian advection in the level-set method.
J. Comput. Phys., 2022

A hybrid inference system for improved curvature estimation in the level-set method using machine learning.
J. Comput. Phys., 2022

A sharp numerical method for the simulation of Stefan problems with convective effects.
J. Comput. Phys., 2022

Neuro-symbolic partial differential equation solver.
CoRR, 2022

2021
A Deep Learning Approach for the Computation of Curvature in the Level-Set Method.
SIAM J. Sci. Comput., 2021

Solving inverse-PDE problems with physics-aware neural networks.
J. Comput. Phys., 2021

Direct numerical simulation of incompressible flows on parallel Octree grids.
J. Comput. Phys., 2021

Level-Set Curvature Neural Networks: A Hybrid Approach.
CoRR, 2021

2020
PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures.
SIAM J. Sci. Comput., 2020

xGFM: Recovering convergence of fluxes in the ghost fluid method.
J. Comput. Phys., 2020

Solving elliptic interface problems with jump conditions on Cartesian grids.
J. Comput. Phys., 2020

A fractional stochastic theory for interfacial polarization of cell aggregates.
CoRR, 2020

2019
Sharp numerical simulation of incompressible two-phase flows.
J. Comput. Phys., 2019

A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization.
J. Comput. Phys., 2019

Sharp interface approaches and deep learning techniques for multiphase flows.
J. Comput. Phys., 2019

Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces.
J. Comput. Phys., 2019

Multidimensional Extrapolation over Interfaces with Kinks and Regions of High Curvatures.
CoRR, 2019

2018
Level-set strategy for inverse DSA-lithography.
J. Comput. Phys., 2018

The island dynamics model on parallel quadtree grids.
J. Comput. Phys., 2018

A review of level-set methods and some recent applications.
J. Comput. Phys., 2018

Fast and scalable algorithms for constructing Solvent-Excluded Surfaces of large biomolecules.
J. Comput. Phys., 2018

Poisson equations in irregular domains with Robin boundary conditions - Solver with second-order accurate gradients.
J. Comput. Phys., 2018

2017
Functional level-set derivative for a polymer self consistent field theory Hamiltonian.
J. Comput. Phys., 2017

Level-set simulations of soluble surfactant driven flows.
J. Comput. Phys., 2017

A Voronoi Interface approach to cell aggregate electropermeabilization.
J. Comput. Phys., 2017

Geometric discretization of the multidimensional Dirac delta distribution - Application to the Poisson equation with singular source terms.
J. Comput. Phys., 2017

2016
A Fast Eulerian Approach for Computation of Global Isochrons in High Dimensions.
SIAM J. Appl. Dyn. Syst., 2016

Self-consistent field theory simulations of polymers on arbitrary domains.
J. Comput. Phys., 2016

Parallel level-set methods on adaptive tree-based grids.
J. Comput. Phys., 2016

On two-phase flow solvers in irregular domains with contact line.
J. Comput. Phys., 2016

Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations.
J. Comput. Phys., 2016

2015
A Sharp Computational Method for the Simulation of the Solidification of Binary Alloys.
J. Sci. Comput., 2015

A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive Quad/Octrees.
J. Comput. Phys., 2015

Solving elliptic problems with discontinuities on irregular domains - the Voronoi Interface Method.
J. Comput. Phys., 2015

2014
A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids.
J. Comput. Phys., 2014

2013
A Multigrid Method on Non-Graded Adaptive Octree and Quadtree Cartesian Grids.
J. Sci. Comput., 2013

High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries.
J. Sci. Comput., 2013

A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids - Application to shape optimization.
J. Comput. Phys., 2013

A level set approach for diffusion and Stefan-type problems with Robin boundary conditions on quadtree/octree adaptive Cartesian grids.
J. Comput. Phys., 2013

A parallel fast sweeping method for the Eikonal equation.
J. Comput. Phys., 2013

Minimum energy desynchronizing control for coupled neurons.
J. Comput. Neurosci., 2013

2012
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory.
J. Comput. Phys., 2012

On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains.
J. Comput. Phys., 2012

Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions.
J. Comput. Phys., 2012

A local level-set method using a hash table data structure.
J. Comput. Phys., 2012

Minimum energy spike randomization for neurons.
Proceedings of the American Control Conference, 2012

2011
A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids.
J. Comput. Phys., 2011

A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid.
J. Comput. Phys., 2011

2010
Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions.
J. Comput. Phys., 2010

On the Length and Area Regularization for Multiphase Level Set Segmentation.
Int. J. Comput. Vis., 2010

2009
Guidelines for Poisson Solvers on Irregular Domains with Dirichlet Boundary Conditions Using the Ghost Fluid Method.
J. Sci. Comput., 2009

An efficient fluid-solid coupling algorithm for single-phase flows.
J. Comput. Phys., 2009

A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate.
J. Comput. Phys., 2009

2008
A Variational Framework for Multiregion Pairwise-Similarity-Based Image Segmentation.
IEEE Trans. Pattern Anal. Mach. Intell., 2008

Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes.
J. Sci. Comput., 2008

Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions.
J. Comput. Phys., 2008

Reference-based probabilistic segmentation as non-rigid registration using Thin Plate Splines.
Proceedings of the International Conference on Image Processing, 2008

2007
A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids.
J. Sci. Comput., 2007

A second order accurate level set method on non-graded adaptive cartesian grids.
J. Comput. Phys., 2007

Geometric integration over irregular domains with application to level-set methods.
J. Comput. Phys., 2007

A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change.
J. Comput. Phys., 2007

2006
A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids.
J. Comput. Phys., 2006

A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids.
J. Comput. Phys., 2006

2004
Simulating water and smoke with an octree data structure.
ACM Trans. Graph., 2004

2003
A Level Set Approach for the Numerical Simulation of Dendritic Growth.
J. Sci. Comput., 2003

A three-dimensional model-based segmentation system for the radiation oncology treatment plannin.
Proceedings of the CARS 2003. Computer Assisted Radiology and Surgery. Proceedings of the 17th International Congress and Exhibition, 2003


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