Edit Profile (opens in new tab) Gibou, Frédéric Co-Author Distance Author ID: gibou.frederic Published as: Gibou, Frédéric; Gibou, Frederic External Links: MGP Documents Indexed: 71 Publications since 2002, including 3 Additional arXiv Preprints Co-Authors: 69 Co-Authors with 71 Joint Publications 1,086 Co-Co-Authors all top 5 Co-Authors 0 single-authored 16 Min, Chohong 10 Bochkov, Daniil 9 Guittet, Arthur 8 Theillard, Maxime 6 Egan, Raphael 5 Larios-Cárdenas, Luis Ángel 5 Mirzadeh, Mohammad 5 Mistani, Pouria A. 5 Temprano-Coleto, Fernando 4 Fedkiw, Ronald P. 4 Landel, Julien R. 4 Luzzatto-Fegiz, Paolo 3 Ceniceros, Hector D. 3 Chen, Han 3 Helgadóttir, Ásdís 3 Ng, Yen Ting 3 Pakravan, Samira 3 Peaudecerf, François J. 2 Burstedde, Carsten 2 Delaney, Kris T. 2 Detrixhe, Miles 2 Fedkiw, Ron 2 Fredrickson, Glenn H. 2 Ilango, Rajesh 2 Jensen, Oliver E. 2 Laachi, Nabil 2 Lepilliez, Mathieu 2 Moehlis, Jeff 2 Osher, Stanley Joel 2 Ouaknin, Gaddiel Y. 2 Poignard, Clair 2 Pollock, Tresa 2 Ratsch, Christian 2 Rycroft, Chris H. 2 Tanguy, Sébastien 1 Aragon-Calvo, Miguel A. 1 Arias, Victoria 1 Banerjee, Sanjoy 1 Bayat, Elyce 1 Bertelli, Luca 1 Boy, David 1 Boyer, Arthur 1 Brun, Emmanuel 1 Caflisch, Russel E. 1 Cárdenas, Carlos 1 Chen, Liguo 1 Cheng, Li-Tien 1 Choudhry, Sanjay 1 Chowdhury, Rochishnu 1 Cleret de Langavant, Charles 1 Djodom, Landry Fokoua 1 Doubeck, Marion 1 Du Chéné, Antoine 1 Goldstein, Raymond E. 1 Hyde, David A. B. 1 Isaac, Tobin 1 Kang, Myungjoo 1 Levy, Doron 1 Liu, Pingyu 1 Margetis, Dionisios 1 Mcnair, Richard 1 Nabi, Ali 1 Papac, Joseph 1 Popescu, Elena Roxana 1 Saintillan, David 1 Sauret, Alban 1 Schneider, Joshua P. 1 Tomlinson, Samuel D. 1 Vié, Jean-Léopold all top 5 Serials 48 Journal of Computational Physics 8 Journal of Scientific Computing 2 Journal of Fluid Mechanics 2 SIAM Journal on Scientific Computing 2 Mathematical Biosciences and Engineering 1 Computers and Fluids 1 Journal of Computational Neuroscience 1 SIAM Journal on Applied Dynamical Systems 1 FDMP. Fluid Dynamics & Materials Processing 1 Communications in Computational Physics all top 5 Fields 52 Numerical analysis (65-XX) 28 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Biology and other natural sciences (92-XX) 7 Computer science (68-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Mechanics of deformable solids (74-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 1,745 times in 782 Documents Cited by ▼ Year ▼ A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. Zbl 0996.65108 Gibou, Frederic; Fedkiw, Ronald P.; Cheng, Li-Tien; Kang, Myungjoo 195 2002 A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem. Zbl 1061.65079 Gibou, Frédéric; Fedkiw, Ronald 134 2005 A second order accurate level set method on non-graded adaptive Cartesian grids. Zbl 1122.65077 Min, Chohong; Gibou, Frédéric 123 2007 A review of level-set methods and some recent applications. Zbl 1380.65196 Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley 103 2018 A level set based sharp interface method for the multiphase incompressible Navier — Stokes equations with phase change. Zbl 1158.76403 Gibou, Frédéric; Chen, Liguo; Nguyen, Duc; Banerjee, Sanjoy 78 2007 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560 Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 66 2003 Geometric integration over irregular domains with application to level-set methods. Zbl 1125.65021 Min, Chohong; Gibou, Frédéric 63 2007 An efficient fluid-solid coupling algorithm for single-phase flows. Zbl 1245.76019 Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 58 2009 A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids. Zbl 1330.76096 Min, Chohong; Gibou, Frédéric 48 2006 Solving elliptic problems with discontinuities on irregular domains – the Voronoi interface method. Zbl 1349.65579 Guittet, Arthur; Lepilliez, Mathieu; Tanguy, Sebastien; Gibou, Frédéric 48 2015 Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions. Zbl 1182.65140 Papac, Joseph; Gibou, Frédéric; Ratsch, Christian 43 2010 Second-order accurate computation of curvatures in a level set framework using novel high-order reinitialization schemes. Zbl 1203.65043 Du Chéné, Antoine; Min, Chohong; Gibou, Frédéric 41 2008 A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. Zbl 1106.65093 Min, Chohong; Gibou, Frédéric; Ceniceros, Hector D. 41 2006 A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees. Zbl 1349.76336 Guittet, Arthur; Theillard, Maxime; Gibou, Frédéric 40 2015 Parallel level-set methods on adaptive tree-based grids. Zbl 1352.65253 Mirzadeh, Mohammad; Guittet, Arthur; Burstedde, Carsten; Gibou, Frederic 39 2016 A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids. Zbl 1120.65113 Chen, Han; Min, Chohong; Gibou, Frédéric 36 2007 Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. Zbl 1400.76049 Gibou, Frédéric; Min, Chohong 35 2012 A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate. Zbl 1176.80059 Chen, Han; Min, Chohong; Gibou, Frédéric 35 2009 Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. Zbl 1153.65014 Min, Chohong; Gibou, Frédéric 28 2008 A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. Zbl 1351.82082 Mirzadeh, Mohammad; Gibou, Frédéric 23 2014 Solving elliptic interface problems with jump conditions on Cartesian grids. Zbl 07504724 Bochkov, Daniil; Gibou, Frederic 23 2020 High resolution sharp computational methods for elliptic and parabolic problems in complex geometries. Zbl 1263.65093 Gibou, Frédéric; Min, Chohong; Fedkiw, Ron 23 2013 Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. Zbl 1416.65409 Bochkov, Daniil; Gibou, Frederic 22 2019 An adaptive, finite difference solver for the nonlinear Poisson-Boltzmann equation with applications to biomolecular computations. Zbl 1388.65135 Mirzadeh, Mohammad; Theillard, Maxime; Helgadöttir, Asdís; Boy, David; Gibou, Frédéric 21 2013 A sharp computational method for the simulation of the solidification of binary alloys. Zbl 1426.76572 Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa 21 2015 A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids – application to shape optimization. Zbl 1286.74109 Theillard, Maxime; Djodom, Landry Fokoua; Vié, Jean-Léopold; Gibou, Frédéric 21 2013 A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. Zbl 1390.82056 Mirzadeh, Mohammad; Theillard, Maxime; Gibou, Frédéric 20 2011 Sharp interface approaches and deep learning techniques for multiphase flows. Zbl 1451.76131 Gibou, Frederic; Hyde, David; Fedkiw, Ron 19 2019 Minimum energy desynchronizing control for coupled neurons. Zbl 1276.92017 Nabi, Ali; Mirzadeh, Mohammad; Gibou, Frederic; Moehlis, Jeff 19 2013 On two-phase flow solvers in irregular domains with contact line. Zbl 1349.76355 Lepilliez, Mathieu; Popescu, Elena Roxana; Gibou, Frederic; Tanguy, Sébastien 18 2016 Level-set simulations of soluble surfactant driven flows. Zbl 1380.76079 Cleret de Langavant, Charles; Guittet, Arthur; Theillard, Maxime; Temprano-Coleto, Fernando; Gibou, Frédéric 18 2017 Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method. Zbl 1203.65223 Ng, Yen Ting; Chen, Han; Min, Chohong; Gibou, Frédéric 17 2009 Sharp numerical simulation of incompressible two-phase flows. Zbl 1452.76135 Theillard, Maxime; Gibou, Frédéric; Saintillan, David 17 2019 xGFM: recovering convergence of fluxes in the ghost fluid method. Zbl 1435.76050 Egan, Raphael; Gibou, Frédéric 17 2020 Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. Zbl 1352.65624 Detrixhe, Miles; Gibou, Frédéric 16 2016 A multigrid method on non-graded adaptive octree and quadtree Cartesian grids. Zbl 1273.65188 Theillard, Maxime; Rycroft, Chris H.; Gibou, Frédéric 16 2013 A theory for the slip and drag of superhydrophobic surfaces with surfactant. Zbl 1430.76135 Landel, Julien R.; Peaudecerf, François J.; Temprano-Coleto, Fernando; Gibou, Frédéric; Goldstein, Raymond E.; Luzzatto-Fegiz, Paolo 14 2020 A local level-set method using a hash table data structure. Zbl 1242.65156 Brun, Emmanuel; Guittet, Arthur; Gibou, Frédéric 12 2012 Poisson equations in irregular domains with Robin boundary conditions – solver with second-order accurate gradients. Zbl 1398.65269 Arias, Victoria; Bochkov, Daniil; Gibou, Frederic 12 2018 A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid. Zbl 1369.76033 Helgadóttir, Ásdís; Gibou, Frédéric 11 2011 Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. Zbl 1329.74303 Rycroft, Chris H.; Gibou, Frédéric 9 2012 A Voronoi interface approach to cell aggregate electropermeabilization. Zbl 1378.92015 Guittet, Arthur; Poignard, Clair; Gibou, Frederic 8 2017 A deep learning approach for the computation of curvature in the level-set method. Zbl 1512.65293 Larios-Cárdenas, Luis Ángel; Gibou, Frederic 8 2021 Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework. Zbl 1390.65132 Helgadóttir, Ásdís; Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 8 2015 Fast and scalable algorithms for constructing solvent-excluded surfaces of large biomolecules. Zbl 1416.65493 Egan, Raphael; Gibou, Frédéric 8 2018 Self-consistent field theory simulations of polymers on arbitrary domains. Zbl 1373.82105 Ouaknin, Gaddiel; Laachi, Nabil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 7 2016 A fast Eulerian approach for computation of global isochrons in high dimensions. Zbl 1372.65331 Detrixhe, Miles; Doubeck, Marion; Moehlis, Jeff; Gibou, Frédéric 7 2016 The island dynamics model on parallel quadtree grids. Zbl 1422.65212 Mistani, Pouria; Guittet, Arthur; Bochkov, Daniil; Schneider, Joshua; Margetis, Dionisios; Ratsch, Christian; Gibou, Frederic 7 2018 Geometric discretization of the multidimensional Dirac delta distribution – application to the Poisson equation with singular source terms. Zbl 1380.65349 Egan, Raphael; Gibou, Frédéric 6 2017 Direct numerical simulation of incompressible flows on parallel octree grids. Zbl 07511438 Egan, Raphael; Guittet, Arthur; Temprano-Coleto, Fernando; Isaac, Tobin; Peaudecerf, François J.; Landel, Julien R.; Luzzatto-Fegiz, Paolo; Burstedde, Carsten; Gibou, Frederic 6 2021 Functional level-set derivative for a polymer self consistent field theory Hamiltonian. Zbl 1378.49049 Ouaknin, Gaddiel; Laachi, Nabil; Bochkov, Daniil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 5 2017 On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. Zbl 1245.76065 Gibou, Frédéric; Min, Chohong 4 2012 A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. Zbl 1451.76078 Mistani, Pouria; Guittet, Arthur; Poignard, Clair; Gibou, Frederic 4 2019 Solving inverse-PDE problems with physics-aware neural networks. Zbl 07512372 Pakravan, Samira; Mistani, Pouria A.; Aragon-Calvo, Miguel A.; Gibou, Frederic 4 2021 A hybrid inference system for improved curvature estimation in the level-set method using machine learning. Zbl 07536781 Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 4 2022 Partial differential equations – based segmentation for radiotherapy treatment planning. Zbl 1070.92024 Gibou, Frédéric; Levy, Doron; Cárdenas, Carlos; Liu, Pingyu; Boyer, Arthur 3 2004 PDE-based multidimensional extrapolation of scalar fields over interfaces with kinks and high curvatures. Zbl 1454.65056 Bochkov, Daniil; Gibou, Frederic 3 2020 Efficient calculation of fully resolved electrostatics around large biomolecules. Zbl 07516802 Chowdhury, Rochishnu; Egan, Raphael; Bochkov, Daniil; Gibou, Frederic 3 2022 A sharp numerical method for the simulation of Stefan problems with convective effects. Zbl 07605598 Bayat, Elyce; Egan, Raphael; Bochkov, Daniil; Sauret, Alban; Gibou, Frederic 3 2022 Error-correcting neural networks for semi-Lagrangian advection in the level-set method. Zbl 07605594 Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 2 2022 Finite difference schemes for incompressible flows in fully adaptive grids. Zbl 1370.76102 Gibou, Frédéric; Min, Chohong; Ceniceros, Hector 1 2007 Error-correcting neural networks for two-dimensional curvature computation in the level-set method. Zbl 1506.65185 Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 1 2022 A hybrid inference system for improved curvature estimation in the level-set method using machine learning. Zbl 07536781 Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 4 2022 Efficient calculation of fully resolved electrostatics around large biomolecules. Zbl 07516802 Chowdhury, Rochishnu; Egan, Raphael; Bochkov, Daniil; Gibou, Frederic 3 2022 A sharp numerical method for the simulation of Stefan problems with convective effects. Zbl 07605598 Bayat, Elyce; Egan, Raphael; Bochkov, Daniil; Sauret, Alban; Gibou, Frederic 3 2022 Error-correcting neural networks for semi-Lagrangian advection in the level-set method. Zbl 07605594 Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 2 2022 Error-correcting neural networks for two-dimensional curvature computation in the level-set method. Zbl 1506.65185 Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 1 2022 A deep learning approach for the computation of curvature in the level-set method. Zbl 1512.65293 Larios-Cárdenas, Luis Ángel; Gibou, Frederic 8 2021 Direct numerical simulation of incompressible flows on parallel octree grids. Zbl 07511438 Egan, Raphael; Guittet, Arthur; Temprano-Coleto, Fernando; Isaac, Tobin; Peaudecerf, François J.; Landel, Julien R.; Luzzatto-Fegiz, Paolo; Burstedde, Carsten; Gibou, Frederic 6 2021 Solving inverse-PDE problems with physics-aware neural networks. Zbl 07512372 Pakravan, Samira; Mistani, Pouria A.; Aragon-Calvo, Miguel A.; Gibou, Frederic 4 2021 Solving elliptic interface problems with jump conditions on Cartesian grids. Zbl 07504724 Bochkov, Daniil; Gibou, Frederic 23 2020 xGFM: recovering convergence of fluxes in the ghost fluid method. Zbl 1435.76050 Egan, Raphael; Gibou, Frédéric 17 2020 A theory for the slip and drag of superhydrophobic surfaces with surfactant. Zbl 1430.76135 Landel, Julien R.; Peaudecerf, François J.; Temprano-Coleto, Fernando; Gibou, Frédéric; Goldstein, Raymond E.; Luzzatto-Fegiz, Paolo 14 2020 PDE-based multidimensional extrapolation of scalar fields over interfaces with kinks and high curvatures. Zbl 1454.65056 Bochkov, Daniil; Gibou, Frederic 3 2020 Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. Zbl 1416.65409 Bochkov, Daniil; Gibou, Frederic 22 2019 Sharp interface approaches and deep learning techniques for multiphase flows. Zbl 1451.76131 Gibou, Frederic; Hyde, David; Fedkiw, Ron 19 2019 Sharp numerical simulation of incompressible two-phase flows. Zbl 1452.76135 Theillard, Maxime; Gibou, Frédéric; Saintillan, David 17 2019 A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. Zbl 1451.76078 Mistani, Pouria; Guittet, Arthur; Poignard, Clair; Gibou, Frederic 4 2019 A review of level-set methods and some recent applications. Zbl 1380.65196 Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley 103 2018 Poisson equations in irregular domains with Robin boundary conditions – solver with second-order accurate gradients. Zbl 1398.65269 Arias, Victoria; Bochkov, Daniil; Gibou, Frederic 12 2018 Fast and scalable algorithms for constructing solvent-excluded surfaces of large biomolecules. Zbl 1416.65493 Egan, Raphael; Gibou, Frédéric 8 2018 The island dynamics model on parallel quadtree grids. Zbl 1422.65212 Mistani, Pouria; Guittet, Arthur; Bochkov, Daniil; Schneider, Joshua; Margetis, Dionisios; Ratsch, Christian; Gibou, Frederic 7 2018 Level-set simulations of soluble surfactant driven flows. Zbl 1380.76079 Cleret de Langavant, Charles; Guittet, Arthur; Theillard, Maxime; Temprano-Coleto, Fernando; Gibou, Frédéric 18 2017 A Voronoi interface approach to cell aggregate electropermeabilization. Zbl 1378.92015 Guittet, Arthur; Poignard, Clair; Gibou, Frederic 8 2017 Geometric discretization of the multidimensional Dirac delta distribution – application to the Poisson equation with singular source terms. Zbl 1380.65349 Egan, Raphael; Gibou, Frédéric 6 2017 Functional level-set derivative for a polymer self consistent field theory Hamiltonian. Zbl 1378.49049 Ouaknin, Gaddiel; Laachi, Nabil; Bochkov, Daniil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 5 2017 Parallel level-set methods on adaptive tree-based grids. Zbl 1352.65253 Mirzadeh, Mohammad; Guittet, Arthur; Burstedde, Carsten; Gibou, Frederic 39 2016 On two-phase flow solvers in irregular domains with contact line. Zbl 1349.76355 Lepilliez, Mathieu; Popescu, Elena Roxana; Gibou, Frederic; Tanguy, Sébastien 18 2016 Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. Zbl 1352.65624 Detrixhe, Miles; Gibou, Frédéric 16 2016 Self-consistent field theory simulations of polymers on arbitrary domains. Zbl 1373.82105 Ouaknin, Gaddiel; Laachi, Nabil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 7 2016 A fast Eulerian approach for computation of global isochrons in high dimensions. Zbl 1372.65331 Detrixhe, Miles; Doubeck, Marion; Moehlis, Jeff; Gibou, Frédéric 7 2016 Solving elliptic problems with discontinuities on irregular domains – the Voronoi interface method. Zbl 1349.65579 Guittet, Arthur; Lepilliez, Mathieu; Tanguy, Sebastien; Gibou, Frédéric 48 2015 A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees. Zbl 1349.76336 Guittet, Arthur; Theillard, Maxime; Gibou, Frédéric 40 2015 A sharp computational method for the simulation of the solidification of binary alloys. Zbl 1426.76572 Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa 21 2015 Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework. Zbl 1390.65132 Helgadóttir, Ásdís; Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 8 2015 A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. Zbl 1351.82082 Mirzadeh, Mohammad; Gibou, Frédéric 23 2014 High resolution sharp computational methods for elliptic and parabolic problems in complex geometries. Zbl 1263.65093 Gibou, Frédéric; Min, Chohong; Fedkiw, Ron 23 2013 An adaptive, finite difference solver for the nonlinear Poisson-Boltzmann equation with applications to biomolecular computations. Zbl 1388.65135 Mirzadeh, Mohammad; Theillard, Maxime; Helgadöttir, Asdís; Boy, David; Gibou, Frédéric 21 2013 A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids – application to shape optimization. Zbl 1286.74109 Theillard, Maxime; Djodom, Landry Fokoua; Vié, Jean-Léopold; Gibou, Frédéric 21 2013 Minimum energy desynchronizing control for coupled neurons. Zbl 1276.92017 Nabi, Ali; Mirzadeh, Mohammad; Gibou, Frederic; Moehlis, Jeff 19 2013 A multigrid method on non-graded adaptive octree and quadtree Cartesian grids. Zbl 1273.65188 Theillard, Maxime; Rycroft, Chris H.; Gibou, Frédéric 16 2013 Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. Zbl 1400.76049 Gibou, Frédéric; Min, Chohong 35 2012 A local level-set method using a hash table data structure. Zbl 1242.65156 Brun, Emmanuel; Guittet, Arthur; Gibou, Frédéric 12 2012 Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. Zbl 1329.74303 Rycroft, Chris H.; Gibou, Frédéric 9 2012 On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. Zbl 1245.76065 Gibou, Frédéric; Min, Chohong 4 2012 A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. Zbl 1390.82056 Mirzadeh, Mohammad; Theillard, Maxime; Gibou, Frédéric 20 2011 A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid. Zbl 1369.76033 Helgadóttir, Ásdís; Gibou, Frédéric 11 2011 Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions. Zbl 1182.65140 Papac, Joseph; Gibou, Frédéric; Ratsch, Christian 43 2010 An efficient fluid-solid coupling algorithm for single-phase flows. Zbl 1245.76019 Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 58 2009 A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate. Zbl 1176.80059 Chen, Han; Min, Chohong; Gibou, Frédéric 35 2009 Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method. Zbl 1203.65223 Ng, Yen Ting; Chen, Han; Min, Chohong; Gibou, Frédéric 17 2009 Second-order accurate computation of curvatures in a level set framework using novel high-order reinitialization schemes. Zbl 1203.65043 Du Chéné, Antoine; Min, Chohong; Gibou, Frédéric 41 2008 Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. Zbl 1153.65014 Min, Chohong; Gibou, Frédéric 28 2008 A second order accurate level set method on non-graded adaptive Cartesian grids. Zbl 1122.65077 Min, Chohong; Gibou, Frédéric 123 2007 A level set based sharp interface method for the multiphase incompressible Navier — Stokes equations with phase change. Zbl 1158.76403 Gibou, Frédéric; Chen, Liguo; Nguyen, Duc; Banerjee, Sanjoy 78 2007 Geometric integration over irregular domains with application to level-set methods. Zbl 1125.65021 Min, Chohong; Gibou, Frédéric 63 2007 A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids. Zbl 1120.65113 Chen, Han; Min, Chohong; Gibou, Frédéric 36 2007 Finite difference schemes for incompressible flows in fully adaptive grids. Zbl 1370.76102 Gibou, Frédéric; Min, Chohong; Ceniceros, Hector 1 2007 A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids. Zbl 1330.76096 Min, Chohong; Gibou, Frédéric 48 2006 A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. Zbl 1106.65093 Min, Chohong; Gibou, Frédéric; Ceniceros, Hector D. 41 2006 A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem. Zbl 1061.65079 Gibou, Frédéric; Fedkiw, Ronald 134 2005 Partial differential equations – based segmentation for radiotherapy treatment planning. Zbl 1070.92024 Gibou, Frédéric; Levy, Doron; Cárdenas, Carlos; Liu, Pingyu; Boyer, Arthur 3 2004 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560 Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 66 2003 A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. Zbl 0996.65108 Gibou, Frederic; Fedkiw, Ronald P.; Cheng, Li-Tien; Kang, Myungjoo 195 2002 all cited Publications top 5 cited Publications all top 5 Cited by 1,553 Authors 56 Gibou, Frédéric 24 Min, Chohong 16 Fedkiw, Ronald P. 15 Zhao, Shan 13 Theillard, Maxime 12 Nave, Jean-Christophe 12 Tanguy, Sébastien 9 Bochkov, Daniil 9 Frolkovič, Peter 9 Guittet, Arthur 9 Wei, Guowei 8 Coco, Armando 8 Kang, Myungjoo 8 Lee, Byungjoon 8 Moehlis, Jeff 7 Iollo, Angelo 7 Mikula, Karol 7 Rycroft, Chris H. 7 Udaykumar, Holavanahalli S. 6 Adams, Nikolaus A. 6 Egan, Raphael 6 Lai, Mingchih 6 Leung, Shingyu 6 Osher, Stanley Joel 6 Poignard, Clair 6 Sussman, Mark 6 Teran, Joseph M. 6 Wilson, Dan D. 6 Ying, Wenjun 5 Alexov, Emil 5 Bhalla, Amneet Pal Singh 5 Feng, Hongsong 5 Huang, Ziyang 5 Kummer, Florian 5 Larios-Cárdenas, Luis Ángel 5 Lowengrub, John Samuel 5 Monga, Bharat 5 Riaz, Amir 5 Russo, Giovanni 5 Schroeder, Craig 5 Xia, Kelin 5 Xu, Jianjun 5 Yoon, Gangjoon 5 Zhao, Hongkai 5 Zhou, Shenggao 4 Ardekani, Arezoo M. 4 Basara, Branislav 4 Burstedde, Carsten 4 Chai, Min 4 Colella, Phillip 4 Griffith, Boyce E. 4 Hahn, Jooyoung 4 Henshaw, William D. 4 Hu, Wei-Fan 4 Hulsen, Martien A. 4 Hussaini, M. Yousuff 4 Landel, Julien R. 4 Lepilliez, Mathieu 4 Li, Zhilin 4 Lin, Guang 4 Liu, Shuang 4 Lu, Benzhuo 4 Luo, Kun 4 McCue, Scott William 4 Mistani, Pouria A. 4 Popinet, Stéphane 4 Rosales, Rodolfo Ruben 4 Saintillan, David 4 Shi, Weidong 4 Temprano-Coleto, Fernando 4 Towers, John D. 4 Wang, Cheng 4 Xie, Yaning 4 Yin, Xi Yuan 3 Adami, Stefan 3 Bak, Soyoon 3 Banks, Jeffrey W. 3 Belyaev, Alexander G. 3 Bergmann, Michel 3 Bothe, Dieter 3 Brandt, Luca 3 Chen, Han 3 Cho, Hyuntae 3 Coquerelle, Mathieu 3 Dong, Haibo 3 Fan, Jianren 3 Fayolle, Pierre-Alain 3 Feng, Xinlong 3 Ganapathysubramanian, Baskar 3 Glockner, Stéphane 3 Gomez, Pablo 3 Guy, Robert D. 3 Hu, Changhong 3 Hyde, David A. B. 3 Kim, Jeongho 3 Kim, Junseok 3 Kim, Philsu 3 Koumoutsakos, Petros D. 3 Lalanne, Benjamin 3 Legendre, Dominique ...and 1,453 more Authors all top 5 Cited in 102 Serials 395 Journal of Computational Physics 51 Journal of Scientific Computing 42 Computers and Fluids 25 Journal of Fluid Mechanics 22 SIAM Journal on Scientific Computing 21 Computer Methods in Applied Mechanics and Engineering 17 Journal of Computational and Applied Mathematics 15 Computers & Mathematics with Applications 12 Communications in Computational Physics 11 Applied Mathematics and Computation 8 Computer Physics Communications 8 International Journal for Numerical Methods in Fluids 8 International Journal for Numerical Methods in Engineering 7 Applied Mathematical Modelling 6 International Journal of Computational Fluid Dynamics 5 Engineering Analysis with Boundary Elements 4 Advances in Applied Mathematics and Mechanics 3 Acta Mechanica 3 Biological Cybernetics 3 International Journal of Heat and Mass Transfer 3 Journal of Mathematical Biology 3 Applied Numerical Mathematics 3 Computational Mechanics 3 Chaos 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 SIAM Journal on Applied Dynamical Systems 3 International Journal of Computational Methods 2 Inverse Problems 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 Mathematics and Computers in Simulation 2 Physica D 2 Numerical Algorithms 2 SIAM Review 2 Sādhanā 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 Communications in Applied Mathematics and Computational Science 2 Mathematical Modelling of Natural Phenomena 1 Modern Physics Letters B 1 Communications on Pure and Applied Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Wave Motion 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Studies in Applied Mathematics 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Computer Aided Geometric Design 1 ACM Transactions on Graphics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Neural Networks 1 European Journal of Applied Mathematics 1 Neural Computation 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Journal of Non-Newtonian Fluid Mechanics 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Communications in Numerical Methods in Engineering 1 Physics of Fluids 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Advances in Computational Mathematics 1 Journal of Computational Neuroscience 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 Computing and Visualization in Science 1 Interfaces and Free Boundaries 1 Computational Geosciences 1 Combustion Theory and Modelling 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Mathematical Modelling and Analysis 1 Archives of Computational Methods in Engineering 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Acta Numerica 1 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen 1 Acta Mechanica Sinica 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Numerical Analysis 1 International Journal of Numerical Methods and Applications 1 The Journal of Mathematical Neuroscience 1 Molecular Based Mathematical Biology 1 Annals of Applied Mathematics 1 Applied Mathematics and Nonlinear Sciences ...and 2 more Serials all top 5 Cited in 33 Fields 524 Numerical analysis (65-XX) 444 Fluid mechanics (76-XX) 210 Partial differential equations (35-XX) 78 Classical thermodynamics, heat transfer (80-XX) 65 Mechanics of deformable solids (74-XX) 62 Biology and other natural sciences (92-XX) 28 Statistical mechanics, structure of matter (82-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 24 Computer science (68-XX) 23 Optics, electromagnetic theory (78-XX) 8 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 7 Geophysics (86-XX) 7 Systems theory; control (93-XX) 6 Approximations and expansions (41-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Differential geometry (53-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Citations by Year