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Frédéric Gibou
2020 – today
- 2023
- [j64]Luis Ángel Larios Cárdenas
, Frédéric Gibou:
Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method. J. Comput. Phys. 478: 111995 (2023) - [j63]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: 112480 (2023) - [j62]Daniil Bochkov, Tresa Pollock, Frédéric Gibou:
A numerical method for sharp-interface simulations of multicomponent alloy solidification. J. Comput. Phys. 494: 112494 (2023) - 2022
- [j61]Rochishnu Chowdhury, Raphael Egan
, Daniil Bochkov, Frédéric Gibou:
Efficient calculation of fully resolved electrostatics around large biomolecules. J. Comput. Phys. 448: 110718 (2022) - [j60]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: 111291 (2022) - [j59]Luis Ángel Larios Cárdenas
, Frédéric Gibou:
Error-correcting neural networks for semi-Lagrangian advection in the level-set method. J. Comput. Phys. 471: 111623 (2022) - [j58]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: 111627 (2022) - [j57]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): 6 (2022) - [i10]Luis Ángel Larios Cárdenas, Frédéric Gibou:
Error-Correcting Neural Networks for Two-Dimensional Curvature Computation in the Level-Set Method. CoRR abs/2201.12342 (2022) - [i9]Luis Ángel Larios Cárdenas, Frédéric Gibou:
Machine learning algorithms for three-dimensional mean-curvature computation in the level-set method. CoRR abs/2208.09047 (2022) - [i8]Pouria Mistani
, Samira Pakravan, Rajesh Ilango, Frédéric Gibou:
JAX-DIPS: Neural bootstrapping of finite discretization methods and application to elliptic problems with discontinuities. CoRR abs/2210.14312 (2022) - [i7]Pouria Mistani
, Samira Pakravan, Rajesh Ilango, Sanjay Choudhry, Frédéric Gibou:
Neuro-symbolic partial differential equation solver. CoRR abs/2210.14907 (2022) - 2021
- [j56]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: 110084 (2021) - [j55]Samira Pakravan, Pouria A. Mistani
, Miguel A. Aragon-Calvo, Frédéric Gibou:
Solving inverse-PDE problems with physics-aware neural networks. J. Comput. Phys. 440: 110414 (2021) - [j54]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): A1754-A1779 (2021) - [i6]Luis Ángel Larios Cárdenas, Frédéric Gibou:
Level-Set Curvature Neural Networks: A Hybrid Approach. CoRR abs/2104.02951 (2021) - [i5]Luis Ángel Larios Cárdenas, Frédéric Gibou:
Error-Correcting Neural Networks for Semi-Lagrangian Advection in the Level-Set Method. CoRR abs/2110.11611 (2021) - 2020
- [j53]Daniil Bochkov, Frédéric Gibou:
Solving elliptic interface problems with jump conditions on Cartesian grids. J. Comput. Phys. 407: 109269 (2020) - [j52]Raphael Egan
, Frédéric Gibou:
xGFM: Recovering convergence of fluxes in the ghost fluid method. J. Comput. Phys. 409: 109351 (2020) - [j51]Daniil Bochkov, Frédéric Gibou:
PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures. SIAM J. Sci. Comput. 42(4): A2344-A2359 (2020) - [i4]Samira Pakravan, Pouria A. Mistani, Miguel Angel Aragon-Calvo
, Frédéric Gibou:
Solving inverse-PDE problems with physics-aware neural networks. CoRR abs/2001.03608 (2020) - [i3]Luis Ángel Larios Cárdenas, Frédéric Gibou:
A Deep Learning Approach for the Computation of Curvature in the Level-Set Method. CoRR abs/2002.02804 (2020) - [i2]Pouria A. Mistani, Samira Pakravan, Frédéric Gibou:
A fractional stochastic theory for interfacial polarization of cell aggregates. CoRR abs/2008.11819 (2020)
2010 – 2019
- 2019
- [j50]Daniil Bochkov, Frédéric Gibou:
Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. J. Comput. Phys. 376: 1156-1198 (2019) - [j49]Pouria Mistani
, Arthur Guittet, Clair Poignard
, Frédéric Gibou:
A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. J. Comput. Phys. 380: 48-64 (2019) - [j48]Frédéric Gibou, David Hyde
, Ron Fedkiw:
Sharp interface approaches and deep learning techniques for multiphase flows. J. Comput. Phys. 380: 442-463 (2019) - [j47]Maxime Theillard
, Frédéric Gibou, David Saintillan:
Sharp numerical simulation of incompressible two-phase flows. J. Comput. Phys. 391: 91-118 (2019) - [i1]Daniil Bochkov, Frédéric Gibou:
Multidimensional Extrapolation over Interfaces with Kinks and Regions of High Curvatures. CoRR abs/1912.09559 (2019) - 2018
- [j46]Frédéric Gibou, Ronald Fedkiw, Stanley J. Osher:
A review of level-set methods and some recent applications. J. Comput. Phys. 353: 82-109 (2018) - [j45]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: 150-166 (2018) - [j44]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: 1-6 (2018) - [j43]Raphael Egan
, Frédéric Gibou:
Fast and scalable algorithms for constructing Solvent-Excluded Surfaces of large biomolecules. J. Comput. Phys. 374: 91-120 (2018) - [j42]Gaddiel Ouaknin, Nabil Laachi, Kris T. Delaney
, Glenn H. Fredrickson, Frédéric Gibou:
Level-set strategy for inverse DSA-lithography. J. Comput. Phys. 375: 1159-1178 (2018) - 2017
- [j41]Arthur Guittet, Clair Poignard
, Frédéric Gibou:
A Voronoi Interface approach to cell aggregate electropermeabilization. J. Comput. Phys. 332: 143-159 (2017) - [j40]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: 207-223 (2017) - [j39]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: 71-90 (2017) - [j38]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: 271-297 (2017) - 2016
- [j37]Mathieu Lepilliez, Elena Roxana Popescu, Frédéric Gibou, Sébastien Tanguy:
On two-phase flow solvers in irregular domains with contact line. J. Comput. Phys. 321: 1217-1251 (2016) - [j36]Miles Detrixhe, Frédéric Gibou:
Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. J. Comput. Phys. 322: 199-223 (2016) - [j35]Mohammad Mirzadeh
, Arthur Guittet, Carsten Burstedde, Frédéric Gibou:
Parallel level-set methods on adaptive tree-based grids. J. Comput. Phys. 322: 345-364 (2016) - [j34]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: 168-185 (2016) - [j33]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): 1501-1527 (2016) - 2015
- [j32]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: 215-238 (2015) - [j31]Arthur Guittet, Mathieu Lepilliez, Sébastien Tanguy, Frédéric Gibou:
Solving elliptic problems with discontinuities on irregular domains - the Voronoi Interface Method. J. Comput. Phys. 298: 747-765 (2015) - [j30]Maxime Theillard
, Frédéric Gibou, Tresa Pollock:
A Sharp Computational Method for the Simulation of the Solidification of Binary Alloys. J. Sci. Comput. 63(2): 330-354 (2015) - 2014
- [j29]Mohammad Mirzadeh
, Frédéric Gibou:
A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. J. Comput. Phys. 274: 633-653 (2014) - 2013
- [j28]Ali Nabi, Mohammad Mirzadeh
, Frédéric Gibou, Jeff Moehlis:
Minimum energy desynchronizing control for coupled neurons. J. Comput. Neurosci. 34(2): 259-271 (2013) - [j27]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: 241-261 (2013) - [j26]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: 430-448 (2013) - [j25]Miles Detrixhe, Frédéric Gibou, Chohong Min:
A parallel fast sweeping method for the Eikonal equation. J. Comput. Phys. 237: 46-55 (2013) - [j24]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): 369-413 (2013) - [j23]Maxime Theillard
, Chris H. Rycroft
, Frédéric Gibou:
A Multigrid Method on Non-Graded Adaptive Octree and Quadtree Cartesian Grids. J. Sci. Comput. 55(1): 1-15 (2013) - 2012
- [j22]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): 2155-2179 (2012) - [j21]Emmanuel Brun
, Arthur Guittet, Frédéric Gibou:
A local level-set method using a hash table data structure. J. Comput. Phys. 231(6): 2528-2536 (2012) - [j20]Frédéric Gibou, Chohong Min:
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. J. Comput. Phys. 231(8): 3246-3263 (2012) - [j19]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): 4531-4536 (2012) - [c3]Ali Nabi, Mohammad Mirzadeh, Frédéric Gibou, Jeff Moehlis:
Minimum energy spike randomization for neurons. ACC 2012: 4751-4756 - 2011
- [j18]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): 2125-2140 (2011) - [j17]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): 3830-3848 (2011) - 2010
- [j16]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): 267-282 (2010) - [j15]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): 875-889 (2010)
2000 – 2009
- 2009
- [j14]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): 5803-5818 (2009) - [j13]Yen Ting Ng, Chohong Min, Frédéric Gibou:
An efficient fluid-solid coupling algorithm for single-phase flows. J. Comput. Phys. 228(23): 8807-8829 (2009) - [j12]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): 300-320 (2009) - 2008
- [j11]Chohong Min, Frédéric Gibou:
Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. J. Comput. Phys. 227(22): 9686-9695 (2008) - [j10]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): 114-131 (2008) - [j9]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): 1400-1414 (2008) - [c2]Luca Bertelli, Pratim Ghosh, B. S. Manjunath, Frédéric Gibou:
Reference-based probabilistic segmentation as non-rigid registration using Thin Plate Splines. ICIP 2008: 3052-3055 - 2007
- [j8]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): 536-555 (2007) - [j7]Chohong Min, Frédéric Gibou:
A second order accurate level set method on non-graded adaptive cartesian grids. J. Comput. Phys. 225(1): 300-321 (2007) - [j6]Chohong Min, Frédéric Gibou:
Geometric integration over irregular domains with application to level-set methods. J. Comput. Phys. 226(2): 1432-1443 (2007) - [j5]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): 19-60 (2007) - 2006
- [j4]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): 123-140 (2006) - [j3]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): 912-929 (2006) - 2004
- [j2]Frank Losasso, Frédéric Gibou, Ronald Fedkiw:
Simulating water and smoke with an octree data structure. ACM Trans. Graph. 23(3): 457-462 (2004) - 2003
- [j1]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): 183-199 (2003) - [c1]Carlos Cardenas, Frédéric Gibou, Doron Levy, Arthur Boyer:
A three-dimensional model-based segmentation system for the radiation oncology treatment plannin. CARS 2003: 1290

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