Frédéric Gibou

Publication Activity (10 Years)

Years Active: 2003-2023
Publications (10 Years): 42

Top Topics

Top Venues

J. Comput. Phys.

J. Sci. Comput.

SIAM J. Sci. Comput.

Publications

Pouria A. Mistani, Samira Pakravan, Rajesh Ilango, Frédéric Gibou
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities. J. Comput. Phys. 493 (2023)
Luis Ángel Larios Cárdenas, Frédéric Gibou
Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method. J. Comput. Phys. 478 (2023)
Daniil Bochkov, Tresa Pollock, Frédéric Gibou
A numerical method for sharp-interface simulations of multicomponent alloy solidification. J. Comput. Phys. 494 (2023)
Elyce Bayat, Raphael Egan, Daniil Bochkov, Alban Sauret, Frédéric Gibou
A sharp numerical method for the simulation of Stefan problems with convective effects. J. Comput. Phys. 471 (2022)
Luis Ángel Larios Cárdenas, Frédéric Gibou
Error-correcting neural networks for semi-Lagrangian advection in the level-set method. J. Comput. Phys. 471 (2022)
Luis Ángel Larios Cárdenas, Frédéric Gibou
Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-Set Method. CoRR (2022)
Luis Ángel Larios Cárdenas, Frédéric Gibou
Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method. CoRR (2022)
Rochishnu Chowdhury, Raphael Egan, Daniil Bochkov, Frédéric Gibou
Efficient calculation of fully resolved electrostatics around large biomolecules. J. Comput. Phys. 448 (2022)
Pouria Mistani, Samira Pakravan, Rajesh Ilango, Sanjay Choudhry, Frédéric Gibou
Neuro-symbolic partial differential equation solver. CoRR (2022)
Luis Ángel Larios Cárdenas, Frédéric Gibou
Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-set Method. J. Sci. Comput. 93 (1) (2022)
Pouria Mistani, Samira Pakravan, Rajesh Ilango, Frédéric Gibou
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities. CoRR (2022)
Luis Ángel Larios Cárdenas, Frédéric Gibou
A hybrid inference system for improved curvature estimation in the level-set method using machine learning. J. Comput. Phys. 463 (2022)
Raphael Egan, Arthur Guittet, Fernando Temprano-Coleto, Tobin Isaac, François Peaudecerf, Julien R. Landel, Paolo Luzzatto-Fegiz, Carsten Burstedde, Frédéric Gibou
Direct numerical simulation of incompressible flows on parallel Octree grids. J. Comput. Phys. 428 (2021)
Samira Pakravan, Pouria A. Mistani, Miguel A. Aragon-Calvo, Frédéric Gibou
Solving inverse-PDE problems with physics-aware neural networks. J. Comput. Phys. 440 (2021)
Luis Ángel Larios Cárdenas, Frédéric Gibou
Error-Correcting Neural Networks for Semi-Lagrangian Advection in the Level-Set Method. CoRR (2021)
Luis Ángel Larios Cárdenas, Frédéric Gibou
A Deep Learning Approach for the Computation of Curvature in the Level-Set Method. SIAM J. Sci. Comput. 43 (3) (2021)
Luis Ángel Larios Cárdenas, Frédéric Gibou
Level-Set Curvature Neural Networks: A Hybrid Approach. CoRR (2021)
Raphael Egan, Frédéric Gibou
xGFM: Recovering convergence of fluxes in the ghost fluid method. J. Comput. Phys. 409 (2020)
Daniil Bochkov, Frédéric Gibou
Solving elliptic interface problems with jump conditions on Cartesian grids. J. Comput. Phys. 407 (2020)
Daniil Bochkov, Frédéric Gibou
PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures. SIAM J. Sci. Comput. 42 (4) (2020)
Luis Ángel Larios Cárdenas, Frédéric Gibou
A Deep Learning Approach for the Computation of Curvature in the Level-Set Method. CoRR (2020)
Samira Pakravan, Pouria A. Mistani, Miguel Angel Aragon-Calvo, Frédéric Gibou
Solving inverse-PDE problems with physics-aware neural networks. CoRR (2020)
Pouria A. Mistani, Samira Pakravan, Frédéric Gibou
A fractional stochastic theory for interfacial polarization of cell aggregates. CoRR (2020)
Daniil Bochkov, Frédéric Gibou
Multidimensional Extrapolation over Interfaces with Kinks and Regions of High Curvatures. CoRR (2019)
Pouria Mistani, Arthur Guittet, Clair Poignard, Frédéric Gibou
A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. J. Comput. Phys. 380 (2019)
Maxime Theillard, Frédéric Gibou, David Saintillan
Sharp numerical simulation of incompressible two-phase flows. J. Comput. Phys. 391 (2019)
Frédéric Gibou, David Hyde, Ron Fedkiw
Sharp interface approaches and deep learning techniques for multiphase flows. J. Comput. Phys. 380 (2019)
Daniil Bochkov, Frédéric Gibou
Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. J. Comput. Phys. 376 (2019)
Victoria Arias, Daniil Bochkov, Frédéric Gibou
Poisson equations in irregular domains with Robin boundary conditions - Solver with second-order accurate gradients. J. Comput. Phys. 365 (2018)
Frédéric Gibou, Ronald Fedkiw, Stanley J. Osher
A review of level-set methods and some recent applications. J. Comput. Phys. 353 (2018)
Raphael Egan, Frédéric Gibou
Fast and scalable algorithms for constructing Solvent-Excluded Surfaces of large biomolecules. J. Comput. Phys. 374 (2018)
Pouria Mistani, Arthur Guittet, Daniil Bochkov, Joshua Schneider, Dionisios Margetis, Christian Ratsch, Frédéric Gibou
The island dynamics model on parallel quadtree grids. J. Comput. Phys. 361 (2018)
Gaddiel Ouaknin, Nabil Laachi, Kris T. Delaney, Glenn H. Fredrickson, Frédéric Gibou
Level-set strategy for inverse DSA-lithography. J. Comput. Phys. 375 (2018)
Gaddiel Ouaknin, Nabil Laachi, Daniil Bochkov, Kris T. Delaney, Glenn H. Fredrickson, Frédéric Gibou
Functional level-set derivative for a polymer self consistent field theory Hamiltonian. J. Comput. Phys. 345 (2017)
Charles Cleret de Langavant, Arthur Guittet, Maxime Theillard, Fernando Temprano-Coleto, Frédéric Gibou
Level-set simulations of soluble surfactant driven flows. J. Comput. Phys. 348 (2017)
Raphael Egan, Frédéric Gibou
Geometric discretization of the multidimensional Dirac delta distribution - Application to the Poisson equation with singular source terms. J. Comput. Phys. 346 (2017)
Arthur Guittet, Clair Poignard, Frédéric Gibou
A Voronoi Interface approach to cell aggregate electropermeabilization. J. Comput. Phys. 332 (2017)
Miles Detrixhe, Marion Doubeck, Jeff Moehlis, Frédéric Gibou
A Fast Eulerian Approach for Computation of Global Isochrons in High Dimensions. SIAM J. Appl. Dyn. Syst. 15 (3) (2016)
Gaddiel Ouaknin, Nabil Laachi, Kris T. Delaney, Glenn H. Fredrickson, Frédéric Gibou
Self-consistent field theory simulations of polymers on arbitrary domains. J. Comput. Phys. 327 (2016)
Miles Detrixhe, Frédéric Gibou
Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. J. Comput. Phys. 322 (2016)
Mathieu Lepilliez, Elena Roxana Popescu, Frédéric Gibou, Sébastien Tanguy
On two-phase flow solvers in irregular domains with contact line. J. Comput. Phys. 321 (2016)
Mohammad Mirzadeh, Arthur Guittet, Carsten Burstedde, Frédéric Gibou
Parallel level-set methods on adaptive tree-based grids. J. Comput. Phys. 322 (2016)
Maxime Theillard, Frédéric Gibou, Tresa Pollock
A Sharp Computational Method for the Simulation of the Solidification of Binary Alloys. J. Sci. Comput. 63 (2) (2015)
Arthur Guittet, Mathieu Lepilliez, Sébastien Tanguy, Frédéric Gibou
Solving elliptic problems with discontinuities on irregular domains - the Voronoi Interface Method. J. Comput. Phys. 298 (2015)
Arthur Guittet, Maxime Theillard, Frédéric Gibou
A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive Quad/Octrees. J. Comput. Phys. 292 (2015)
Mohammad Mirzadeh, Frédéric Gibou
A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. J. Comput. Phys. 274 (2014)
Joseph Papac, Ásdís Helgadóttir, Christian Ratsch, Frédéric Gibou
A level set approach for diffusion and Stefan-type problems with Robin boundary conditions on quadtree/octree adaptive Cartesian grids. J. Comput. Phys. 233 (2013)
Miles Detrixhe, Frédéric Gibou, Chohong Min
A parallel fast sweeping method for the Eikonal equation. J. Comput. Phys. 237 (2013)
Frédéric Gibou, Chohong Min, Ronald Fedkiw
High Resolution Sharp Computational Methods for Elliptic and Parabolic Problems in Complex Geometries. J. Sci. Comput. 54 (2-3) (2013)
Ali Nabi, Mohammad Mirzadeh, Frédéric Gibou, Jeff Moehlis
Minimum energy desynchronizing control for coupled neurons. J. Comput. Neurosci. 34 (2) (2013)
Maxime Theillard, Landry Fokoua Djodom, Jean-Léopold Vié, Frédéric Gibou
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. 233 (2013)
Maxime Theillard, Chris H. Rycroft, Frédéric Gibou
A Multigrid Method on Non-Graded Adaptive Octree and Quadtree Cartesian Grids. J. Sci. Comput. 55 (1) (2013)
Chris H. Rycroft, Frédéric Gibou
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. J. Comput. Phys. 231 (5) (2012)
Frédéric Gibou, Chohong Min
On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. J. Comput. Phys. 231 (14) (2012)
Frédéric Gibou, Chohong Min
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. J. Comput. Phys. 231 (8) (2012)
Emmanuel Brun, Arthur Guittet, Frédéric Gibou
A local level-set method using a hash table data structure. J. Comput. Phys. 231 (6) (2012)
Ali Nabi, Mohammad Mirzadeh, Frédéric Gibou, Jeff Moehlis
Minimum energy spike randomization for neurons. ACC (2012)
Mohammad Mirzadeh, Maxime Theillard, Frédéric Gibou
A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. J. Comput. Phys. 230 (5) (2011)
Ásdís Helgadóttir, Frédéric Gibou
A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid. J. Comput. Phys. 230 (10) (2011)
Joseph Papac, Frédéric Gibou, Christian Ratsch
Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions. J. Comput. Phys. 229 (3) (2010)
Luca Bertelli, Shivkumar Chandrasekaran, Frédéric Gibou, B. S. Manjunath
On the Length and Area Regularization for Multiphase Level Set Segmentation. Int. J. Comput. Vis. 90 (3) (2010)
Han Chen, Chohong Min, Frédéric Gibou
A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate. J. Comput. Phys. 228 (16) (2009)
Yen Ting Ng, Chohong Min, Frédéric Gibou
An efficient fluid-solid coupling algorithm for single-phase flows. J. Comput. Phys. 228 (23) (2009)
Yen Ting Ng, Han Chen, Chohong Min, Frédéric Gibou
Guidelines for Poisson Solvers on Irregular Domains with Dirichlet Boundary Conditions Using the Ghost Fluid Method. J. Sci. Comput. 41 (2) (2009)
Antoine du Chéné, Chohong Min, Frédéric Gibou
Second-Order Accurate Computation of Curvatures in a Level Set Framework Using Novel High-Order Reinitialization Schemes. J. Sci. Comput. 35 (2-3) (2008)
Chohong Min, Frédéric Gibou
Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. J. Comput. Phys. 227 (22) (2008)
Luca Bertelli, Pratim Ghosh, B. S. Manjunath, Frédéric Gibou
Reference-based probabilistic segmentation as non-rigid registration using Thin Plate Splines. ICIP (2008)
Luca Bertelli, Baris Sumengen, B. S. Manjunath, Frédéric Gibou
A Variational Framework for Multiregion Pairwise-Similarity-Based Image Segmentation. IEEE Trans. Pattern Anal. Mach. Intell. 30 (8) (2008)
Chohong Min, Frédéric Gibou
Geometric integration over irregular domains with application to level-set methods. J. Comput. Phys. 226 (2) (2007)
Chohong Min, Frédéric Gibou
A second order accurate level set method on non-graded adaptive cartesian grids. J. Comput. Phys. 225 (1) (2007)
Han Chen, Chohong Min, Frédéric Gibou
A Supra-Convergent Finite Difference Scheme for the Poisson and Heat Equations on Irregular Domains and Non-Graded Adaptive Cartesian Grids. J. Sci. Comput. 31 (1-2) (2007)
Frédéric Gibou, Liguo Chen, Duc Nguyen, Sanjoy Banerjee
A level set based sharp interface method for the multiphase incompressible Navier-Stokes equations with phase change. J. Comput. Phys. 222 (2) (2007)
Chohong Min, Frédéric Gibou
A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids. J. Comput. Phys. 219 (2) (2006)
Chohong Min, Frédéric Gibou, Héctor D. Ceniceros
A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. J. Comput. Phys. 218 (1) (2006)
Frank Losasso, Frédéric Gibou, Ronald Fedkiw
Simulating water and smoke with an octree data structure. ACM Trans. Graph. 23 (3) (2004)
Carlos Cardenas, Frédéric Gibou, Doron Levy, Arthur Boyer
A three-dimensional model-based segmentation system for the radiation oncology treatment plannin. CARS (2003)
Frédéric Gibou, Ronald Fedkiw, Russel E. Caflisch, Stanley J. Osher
A Level Set Approach for the Numerical Simulation of Dendritic Growth. J. Sci. Comput. 19 (1-3) (2003)