Edit Profile (opens in new tab) Gibou, Frédéric Compute Distance To: Compute Author ID: gibou.frederic Published as: Gibou, Frédéric; Gibou, Frederic External Links: MGP Documents Indexed: 65 Publications since 2002 Co-Authors: 64 Co-Authors with 65 Joint Publications 908 Co-Co-Authors all top 5 Co-Authors 0 single-authored 16 Min, Chohong 9 Guittet, Arthur 8 Bochkov, Daniil 8 Theillard, Maxime 6 Egan, Raphael 5 Larios-Cárdenas, Luis Ángel 5 Mirzadeh, Mohammad 4 Fedkiw, Ronald P. 3 Ceniceros, Hector D. 3 Chen, Han 3 Helgadóttir, Ásdís 3 Mistani, Pouria A. 3 Ng, Yen Ting 3 Temprano-Coleto, Fernando 2 Burstedde, Carsten 2 Delaney, Kris T. 2 Detrixhe, Miles 2 Fedkiw, Ron 2 Fredrickson, Glenn H. 2 Laachi, Nabil 2 Landel, Julien R. 2 Lepilliez, Mathieu 2 Luzzatto-Fegiz, Paolo 2 Moehlis, Jeff 2 Osher, Stanley Joel 2 Ouaknin, Gaddiel Y. 2 Peaudecerf, François J. 2 Poignard, Clair 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 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 Nabi, Ali 1 Pakravan, Samira 1 Papac, Joseph 1 Pollock, Tresa 1 Popescu, Elena Roxana 1 Saintillan, David 1 Sauret, Alban 1 Schneider, Joshua P. 1 Vié, Jean-Léopold all top 5 Serials 46 Journal of Computational Physics 8 Journal of Scientific Computing 2 SIAM Journal on Scientific Computing 2 Mathematical Biosciences and Engineering 1 Computers and Fluids 1 Journal of Fluid Mechanics 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 50 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 20 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 59 Publications have been cited 1,410 times in 655 Documents Cited by ▼ Year ▼ A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. Zbl 0996.65108Gibou, Frederic; Fedkiw, Ronald P.; Cheng, Li-Tien; Kang, Myungjoo 176 2002 A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem. Zbl 1061.65079Gibou, Frédéric; Fedkiw, Ronald 118 2005 A second order accurate level set method on non-graded adaptive Cartesian grids. Zbl 1122.65077Min, Chohong; Gibou, Frédéric 109 2007 A review of level-set methods and some recent applications. Zbl 1380.65196Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley 72 2018 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 62 2003 A level set based sharp interface method for the multiphase incompressible Navier — Stokes equations with phase change. Zbl 1158.76403Gibou, Frédéric; Chen, Liguo; Nguyen, Duc; Banerjee, Sanjoy 62 2007 Geometric integration over irregular domains with application to level-set methods. Zbl 1125.65021Min, Chohong; Gibou, Frédéric 55 2007 An efficient fluid-solid coupling algorithm for single-phase flows. Zbl 1245.76019Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 46 2009 A second order accurate projection method for the incompressible Navier-Stokes equations on non-graded adaptive grids. Zbl 1330.76096Min, Chohong; Gibou, Frédéric 43 2006 Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions. Zbl 1182.65140Papac, Joseph; Gibou, Frédéric; Ratsch, Christian 36 2010 Solving elliptic problems with discontinuities on irregular domains – the Voronoi interface method. Zbl 1349.65579Guittet, Arthur; Lepilliez, Mathieu; Tanguy, Sebastien; Gibou, Frédéric 36 2015 A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. Zbl 1106.65093Min, Chohong; Gibou, Frédéric; Ceniceros, Hector D. 35 2006 Second-order accurate computation of curvatures in a level set framework using novel high-order reinitialization schemes. Zbl 1203.65043Du Chéné, Antoine; Min, Chohong; Gibou, Frédéric 35 2008 A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees. Zbl 1349.76336Guittet, Arthur; Theillard, Maxime; Gibou, Frédéric 34 2015 Parallel level-set methods on adaptive tree-based grids. Zbl 1352.65253Mirzadeh, Mohammad; Guittet, Arthur; Burstedde, Carsten; Gibou, Frederic 31 2016 Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. Zbl 1400.76049Gibou, Frédéric; Min, Chohong 30 2012 A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate. Zbl 1176.80059Chen, Han; Min, Chohong; Gibou, Frédéric 30 2009 A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids. Zbl 1120.65113Chen, Han; Min, Chohong; Gibou, Frédéric 28 2007 Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. Zbl 1153.65014Min, Chohong; Gibou, Frédéric 23 2008 A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids – application to shape optimization. Zbl 1286.74109Theillard, Maxime; Djodom, Landry Fokoua; Vié, Jean-Léopold; Gibou, Frédéric 20 2013 A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. Zbl 1351.82082Mirzadeh, Mohammad; Gibou, Frédéric 19 2014 Minimum energy desynchronizing control for coupled neurons. Zbl 1276.92017Nabi, Ali; Mirzadeh, Mohammad; Gibou, Frederic; Moehlis, Jeff 17 2013 Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. Zbl 1416.65409Bochkov, Daniil; Gibou, Frederic 16 2019 High resolution sharp computational methods for elliptic and parabolic problems in complex geometries. Zbl 1263.65093Gibou, Frédéric; Min, Chohong; Fedkiw, Ron 16 2013 An adaptive, finite difference solver for the nonlinear Poisson-Boltzmann equation with applications to biomolecular computations. Zbl 1388.65135Mirzadeh, Mohammad; Theillard, Maxime; Helgadöttir, Asdís; Boy, David; Gibou, Frédéric 16 2013 A sharp computational method for the simulation of the solidification of binary alloys. Zbl 1426.76572Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa 15 2015 Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. Zbl 1352.65624Detrixhe, Miles; Gibou, Frédéric 15 2016 Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method. Zbl 1203.65223Ng, Yen Ting; Chen, Han; Min, Chohong; Gibou, Frédéric 14 2009 A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. Zbl 1390.82056Mirzadeh, Mohammad; Theillard, Maxime; Gibou, Frédéric 14 2011 Level-set simulations of soluble surfactant driven flows. Zbl 1380.76079Cleret de Langavant, Charles; Guittet, Arthur; Theillard, Maxime; Temprano-Coleto, Fernando; Gibou, Frédéric 14 2017 On two-phase flow solvers in irregular domains with contact line. Zbl 1349.76355Lepilliez, Mathieu; Popescu, Elena Roxana; Gibou, Frederic; Tanguy, Sébastien 14 2016 Sharp interface approaches and deep learning techniques for multiphase flows. Zbl 1451.76131Gibou, Frederic; Hyde, David; Fedkiw, Ron 12 2019 A multigrid method on non-graded adaptive octree and quadtree Cartesian grids. Zbl 1273.65188Theillard, Maxime; Rycroft, Chris H.; Gibou, Frédéric 12 2013 Sharp numerical simulation of incompressible two-phase flows. Zbl 1452.76135Theillard, Maxime; Gibou, Frédéric; Saintillan, David 11 2019 A local level-set method using a hash table data structure. Zbl 1242.65156Brun, Emmanuel; Guittet, Arthur; Gibou, Frédéric 10 2012 A theory for the slip and drag of superhydrophobic surfaces with surfactant. Zbl 1430.76135Landel, Julien R.; Peaudecerf, François J.; Temprano-Coleto, Fernando; Gibou, Frédéric; Goldstein, Raymond E.; Luzzatto-Fegiz, Paolo 10 2020 Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. Zbl 1329.74303Rycroft, Chris H.; Gibou, Frédéric 8 2012 Poisson equations in irregular domains with Robin boundary conditions – solver with second-order accurate gradients. Zbl 1398.65269Arias, Victoria; Bochkov, Daniil; Gibou, Frederic 8 2018 A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid. Zbl 1369.76033Helgadóttir, Ásdís; Gibou, Frédéric 8 2011 Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework. Zbl 1390.65132Helgadóttir, Ásdís; Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 7 2015 xGFM: recovering convergence of fluxes in the ghost fluid method. Zbl 1435.76050Egan, Raphael; Gibou, Frédéric 7 2020 A Voronoi interface approach to cell aggregate electropermeabilization. Zbl 1378.92015Guittet, Arthur; Poignard, Clair; Gibou, Frederic 7 2017 A fast Eulerian approach for computation of global isochrons in high dimensions. Zbl 1372.65331Detrixhe, Miles; Doubeck, Marion; Moehlis, Jeff; Gibou, Frédéric 7 2016 Fast and scalable algorithms for constructing solvent-excluded surfaces of large biomolecules. Zbl 1416.65493Egan, Raphael; Gibou, Frédéric 6 2018 Self-consistent field theory simulations of polymers on arbitrary domains. Zbl 1373.82105Ouaknin, Gaddiel; Laachi, Nabil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 6 2016 The island dynamics model on parallel quadtree grids. Zbl 1422.65212Mistani, Pouria; Guittet, Arthur; Bochkov, Daniil; Schneider, Joshua; Margetis, Dionisios; Ratsch, Christian; Gibou, Frederic 5 2018 Geometric discretization of the multidimensional Dirac delta distribution – application to the Poisson equation with singular source terms. Zbl 1380.65349Egan, Raphael; Gibou, Frédéric 5 2017 Functional level-set derivative for a polymer self consistent field theory Hamiltonian. Zbl 1378.49049Ouaknin, Gaddiel; Laachi, Nabil; Bochkov, Daniil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 5 2017 Solving elliptic interface problems with jump conditions on Cartesian grids. Zbl 07504724Bochkov, Daniil; Gibou, Frederic 5 2020 On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. Zbl 1245.76065Gibou, Frédéric; Min, Chohong 4 2012 A deep learning approach for the computation of curvature in the level-set method. Zbl 07364333Larios-Cárdenas, Luis Ángel; Gibou, Frederic 3 2021 Direct numerical simulation of incompressible flows on parallel octree grids. Zbl 07511438Egan, Raphael; Guittet, Arthur; Temprano-Coleto, Fernando; Isaac, Tobin; Peaudecerf, François J.; Landel, Julien R.; Luzzatto-Fegiz, Paolo; Burstedde, Carsten; Gibou, Frederic 3 2021 A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. Zbl 1451.76078Mistani, Pouria; Guittet, Arthur; Poignard, Clair; Gibou, Frederic 2 2019 Partial differential equations – based segmentation for radiotherapy treatment planning. Zbl 1070.92024Gibou, Frédéric; Levy, Doron; Cárdenas, Carlos; Liu, Pingyu; Boyer, Arthur 2 2004 A sharp numerical method for the simulation of Stefan problems with convective effects. Zbl 07605598Bayat, Elyce; Egan, Raphael; Bochkov, Daniil; Sauret, Alban; Gibou, Frederic 2 2022 PDE-based multidimensional extrapolation of scalar fields over interfaces with kinks and high curvatures. Zbl 1454.65056Bochkov, Daniil; Gibou, Frederic 1 2020 Finite difference schemes for incompressible flows in fully adaptive grids. Zbl 1370.76102Gibou, Frédéric; Min, Chohong; Ceniceros, Hector 1 2007 Efficient calculation of fully resolved electrostatics around large biomolecules. Zbl 07516802Chowdhury, Rochishnu; Egan, Raphael; Bochkov, Daniil; Gibou, Frederic 1 2022 A hybrid inference system for improved curvature estimation in the level-set method using machine learning. Zbl 07536781Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 1 2022 A sharp numerical method for the simulation of Stefan problems with convective effects. Zbl 07605598Bayat, Elyce; Egan, Raphael; Bochkov, Daniil; Sauret, Alban; Gibou, Frederic 2 2022 Efficient calculation of fully resolved electrostatics around large biomolecules. Zbl 07516802Chowdhury, Rochishnu; Egan, Raphael; Bochkov, Daniil; Gibou, Frederic 1 2022 A hybrid inference system for improved curvature estimation in the level-set method using machine learning. Zbl 07536781Larios-Cárdenas, Luis Ángel; Gibou, Frédéric 1 2022 A deep learning approach for the computation of curvature in the level-set method. Zbl 07364333Larios-Cárdenas, Luis Ángel; Gibou, Frederic 3 2021 Direct numerical simulation of incompressible flows on parallel octree grids. Zbl 07511438Egan, Raphael; Guittet, Arthur; Temprano-Coleto, Fernando; Isaac, Tobin; Peaudecerf, François J.; Landel, Julien R.; Luzzatto-Fegiz, Paolo; Burstedde, Carsten; Gibou, Frederic 3 2021 A theory for the slip and drag of superhydrophobic surfaces with surfactant. Zbl 1430.76135Landel, Julien R.; Peaudecerf, François J.; Temprano-Coleto, Fernando; Gibou, Frédéric; Goldstein, Raymond E.; Luzzatto-Fegiz, Paolo 10 2020 xGFM: recovering convergence of fluxes in the ghost fluid method. Zbl 1435.76050Egan, Raphael; Gibou, Frédéric 7 2020 Solving elliptic interface problems with jump conditions on Cartesian grids. Zbl 07504724Bochkov, Daniil; Gibou, Frederic 5 2020 PDE-based multidimensional extrapolation of scalar fields over interfaces with kinks and high curvatures. Zbl 1454.65056Bochkov, Daniil; Gibou, Frederic 1 2020 Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. Zbl 1416.65409Bochkov, Daniil; Gibou, Frederic 16 2019 Sharp interface approaches and deep learning techniques for multiphase flows. Zbl 1451.76131Gibou, Frederic; Hyde, David; Fedkiw, Ron 12 2019 Sharp numerical simulation of incompressible two-phase flows. Zbl 1452.76135Theillard, Maxime; Gibou, Frédéric; Saintillan, David 11 2019 A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. Zbl 1451.76078Mistani, Pouria; Guittet, Arthur; Poignard, Clair; Gibou, Frederic 2 2019 A review of level-set methods and some recent applications. Zbl 1380.65196Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley 72 2018 Poisson equations in irregular domains with Robin boundary conditions – solver with second-order accurate gradients. Zbl 1398.65269Arias, Victoria; Bochkov, Daniil; Gibou, Frederic 8 2018 Fast and scalable algorithms for constructing solvent-excluded surfaces of large biomolecules. Zbl 1416.65493Egan, Raphael; Gibou, Frédéric 6 2018 The island dynamics model on parallel quadtree grids. Zbl 1422.65212Mistani, Pouria; Guittet, Arthur; Bochkov, Daniil; Schneider, Joshua; Margetis, Dionisios; Ratsch, Christian; Gibou, Frederic 5 2018 Level-set simulations of soluble surfactant driven flows. Zbl 1380.76079Cleret de Langavant, Charles; Guittet, Arthur; Theillard, Maxime; Temprano-Coleto, Fernando; Gibou, Frédéric 14 2017 A Voronoi interface approach to cell aggregate electropermeabilization. Zbl 1378.92015Guittet, Arthur; Poignard, Clair; Gibou, Frederic 7 2017 Geometric discretization of the multidimensional Dirac delta distribution – application to the Poisson equation with singular source terms. Zbl 1380.65349Egan, Raphael; Gibou, Frédéric 5 2017 Functional level-set derivative for a polymer self consistent field theory Hamiltonian. Zbl 1378.49049Ouaknin, Gaddiel; Laachi, Nabil; Bochkov, Daniil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 5 2017 Parallel level-set methods on adaptive tree-based grids. Zbl 1352.65253Mirzadeh, Mohammad; Guittet, Arthur; Burstedde, Carsten; Gibou, Frederic 31 2016 Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. Zbl 1352.65624Detrixhe, Miles; Gibou, Frédéric 15 2016 On two-phase flow solvers in irregular domains with contact line. Zbl 1349.76355Lepilliez, Mathieu; Popescu, Elena Roxana; Gibou, Frederic; Tanguy, Sébastien 14 2016 A fast Eulerian approach for computation of global isochrons in high dimensions. Zbl 1372.65331Detrixhe, Miles; Doubeck, Marion; Moehlis, Jeff; Gibou, Frédéric 7 2016 Self-consistent field theory simulations of polymers on arbitrary domains. Zbl 1373.82105Ouaknin, Gaddiel; Laachi, Nabil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic 6 2016 Solving elliptic problems with discontinuities on irregular domains – the Voronoi interface method. Zbl 1349.65579Guittet, Arthur; Lepilliez, Mathieu; Tanguy, Sebastien; Gibou, Frédéric 36 2015 A stable projection method for the incompressible Navier-Stokes equations on arbitrary geometries and adaptive quad/octrees. Zbl 1349.76336Guittet, Arthur; Theillard, Maxime; Gibou, Frédéric 34 2015 A sharp computational method for the simulation of the solidification of binary alloys. Zbl 1426.76572Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa 15 2015 Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework. Zbl 1390.65132Helgadóttir, Ásdís; Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 7 2015 A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. Zbl 1351.82082Mirzadeh, Mohammad; Gibou, Frédéric 19 2014 A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids – application to shape optimization. Zbl 1286.74109Theillard, Maxime; Djodom, Landry Fokoua; Vié, Jean-Léopold; Gibou, Frédéric 20 2013 Minimum energy desynchronizing control for coupled neurons. Zbl 1276.92017Nabi, Ali; Mirzadeh, Mohammad; Gibou, Frederic; Moehlis, Jeff 17 2013 High resolution sharp computational methods for elliptic and parabolic problems in complex geometries. Zbl 1263.65093Gibou, Frédéric; Min, Chohong; Fedkiw, Ron 16 2013 An adaptive, finite difference solver for the nonlinear Poisson-Boltzmann equation with applications to biomolecular computations. Zbl 1388.65135Mirzadeh, Mohammad; Theillard, Maxime; Helgadöttir, Asdís; Boy, David; Gibou, Frédéric 16 2013 A multigrid method on non-graded adaptive octree and quadtree Cartesian grids. Zbl 1273.65188Theillard, Maxime; Rycroft, Chris H.; Gibou, Frédéric 12 2013 Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. Zbl 1400.76049Gibou, Frédéric; Min, Chohong 30 2012 A local level-set method using a hash table data structure. Zbl 1242.65156Brun, Emmanuel; Guittet, Arthur; Gibou, Frédéric 10 2012 Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. Zbl 1329.74303Rycroft, Chris H.; Gibou, Frédéric 8 2012 On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. Zbl 1245.76065Gibou, 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 1390.82056Mirzadeh, Mohammad; Theillard, Maxime; Gibou, Frédéric 14 2011 A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid. Zbl 1369.76033Helgadóttir, Ásdís; Gibou, Frédéric 8 2011 Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions. Zbl 1182.65140Papac, Joseph; Gibou, Frédéric; Ratsch, Christian 36 2010 An efficient fluid-solid coupling algorithm for single-phase flows. Zbl 1245.76019Ng, Yen Ting; Min, Chohong; Gibou, Frédéric 46 2009 A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate. Zbl 1176.80059Chen, Han; Min, Chohong; Gibou, Frédéric 30 2009 Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method. Zbl 1203.65223Ng, Yen Ting; Chen, Han; Min, Chohong; Gibou, Frédéric 14 2009 Second-order accurate computation of curvatures in a level set framework using novel high-order reinitialization schemes. Zbl 1203.65043Du Chéné, Antoine; Min, Chohong; Gibou, Frédéric 35 2008 Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. Zbl 1153.65014Min, Chohong; Gibou, Frédéric 23 2008 A second order accurate level set method on non-graded adaptive Cartesian grids. Zbl 1122.65077Min, Chohong; Gibou, Frédéric 109 2007 A level set based sharp interface method for the multiphase incompressible Navier — Stokes equations with phase change. Zbl 1158.76403Gibou, Frédéric; Chen, Liguo; Nguyen, Duc; Banerjee, Sanjoy 62 2007 Geometric integration over irregular domains with application to level-set methods. Zbl 1125.65021Min, Chohong; Gibou, Frédéric 55 2007 A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids. Zbl 1120.65113Chen, Han; Min, Chohong; Gibou, Frédéric 28 2007 Finite difference schemes for incompressible flows in fully adaptive grids. Zbl 1370.76102Gibou, 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 1330.76096Min, Chohong; Gibou, Frédéric 43 2006 A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids. Zbl 1106.65093Min, Chohong; Gibou, Frédéric; Ceniceros, Hector D. 35 2006 A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem. Zbl 1061.65079Gibou, Frédéric; Fedkiw, Ronald 118 2005 Partial differential equations – based segmentation for radiotherapy treatment planning. Zbl 1070.92024Gibou, Frédéric; Levy, Doron; Cárdenas, Carlos; Liu, Pingyu; Boyer, Arthur 2 2004 A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley 62 2003 A second-order-accurate symmetric discretization of the Poisson equation on irregular domains. Zbl 0996.65108Gibou, Frederic; Fedkiw, Ronald P.; Cheng, Li-Tien; Kang, Myungjoo 176 2002 all cited Publications top 5 cited Publications all top 5 Cited by 1,316 Authors 48 Gibou, Frédéric 23 Min, Chohong 16 Fedkiw, Ronald P. 12 Theillard, Maxime 11 Nave, Jean-Christophe 11 Zhao, Shan 9 Tanguy, Sébastien 9 Wei, Guowei 8 Guittet, Arthur 8 Kang, Myungjoo 7 Bochkov, Daniil 7 Lee, Byungjoon 7 Moehlis, Jeff 7 Udaykumar, Holavanahalli S. 6 Coco, Armando 6 Frolkovič, Peter 6 Iollo, Angelo 6 Leung, Shingyu 6 Osher, Stanley Joel 6 Poignard, Clair 6 Sussman, Mark 6 Teran, Joseph M. 6 Wilson, Dan D. 5 Egan, Raphael 5 Lowengrub, John Samuel 5 Mikula, Karol 5 Riaz, Amir 5 Rycroft, Chris H. 5 Xia, Kelin 5 Xu, Jianjun 5 Yoon, Gangjoon 5 Zhao, Hongkai 4 Alexov, Emil 4 Bhalla, Amneet Pal Singh 4 Colella, Phillip 4 Feng, Hongsong 4 Griffith, Boyce E. 4 Henshaw, William D. 4 Hulsen, Martien A. 4 Hussaini, M. Yousuff 4 Lepilliez, Mathieu 4 Li, Zhilin 4 Monga, Bharat 4 Popinet, Stéphane 4 Rosales, Rodolfo Ruben 4 Russo, Giovanni 4 Shi, Weidong 4 Ying, Wenjun 3 Adams, Nikolaus A. 3 Ardekani, Arezoo M. 3 Banks, Jeffrey W. 3 Belyaev, Alexander G. 3 Bergmann, Michel 3 Chai, Min 3 Chen, Han 3 Cho, Hyuntae 3 Dong, Haibo 3 Fan, Jianren 3 Fayolle, Pierre-Alain 3 Feng, Xinlong 3 Glockner, Stéphane 3 Gomez, Pablo 3 Guy, Robert D. 3 Huang, Ziyang 3 Hyde, David A. B. 3 Kummer, Florian 3 Larios-Cárdenas, Luis Ángel 3 Lin, Guang 3 Liu, Qianlong 3 Liu, Shuang 3 López, Joaquín 3 Lu, Benzhuo 3 Luo, Kun 3 Macklin, Paul 3 Marques, Alexandre Noll 3 McCue, Scott William 3 Meijer, Han E. H. 3 Mirzadeh, Mohammad 3 Mistani, Pouria A. 3 Moroney, Timothy J. 3 Müller, Björn 3 Ng, Yen Ting 3 Oberlack, Martin 3 Ouaknin, Gaddiel Y. 3 Qin, Zhipeng 3 Qiu, Linhai 3 Ratsch, Christian 3 Saintillan, David 3 Schroeder, Craig 3 Schwendeman, Donald William 3 Seaïd, Mohammed 3 Shen, Lian 3 Shoele, Kourosh 3 Shu, Shi 3 Sifakis, Eftychios 3 Stein, David B. 3 Tan, Lijian 3 Tang, Qi 3 Towers, John D. 3 Tsai, Yen-Hsi Richard ...and 1,216 more Authors all top 5 Cited in 92 Serials 335 Journal of Computational Physics 46 Journal of Scientific Computing 35 Computers and Fluids 22 Journal of Fluid Mechanics 19 SIAM Journal on Scientific Computing 16 Journal of Computational and Applied Mathematics 15 Computer Methods in Applied Mechanics and Engineering 10 Computers & Mathematics with Applications 9 Applied Mathematics and Computation 8 International Journal for Numerical Methods in Fluids 8 Communications in Computational Physics 6 International Journal of Computational Fluid Dynamics 5 International Journal for Numerical Methods in Engineering 5 Applied Mathematical Modelling 5 Engineering Analysis with Boundary Elements 4 Advances in Applied Mathematics and Mechanics 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 Discrete and Continuous Dynamical Systems. Series B 3 SIAM Journal on Applied Dynamical Systems 2 Acta Mechanica 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Numerical Algorithms 2 SIAM Review 2 Communications in Nonlinear Science and Numerical Simulation 2 Sādhanā 2 Multiscale Modeling & Simulation 2 International Journal of Computational Methods 2 Advances in Difference Equations 2 Mathematical Modelling of Natural Phenomena 1 Modern Physics Letters B 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Wave Motion 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Circuits, Systems, and Signal Processing 1 Computer Aided Geometric Design 1 Physica D 1 ACM Transactions on Graphics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Neural Computation 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 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 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 Mathematical Biosciences and Engineering 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 Communications in Applied Mathematics and Computational Science 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 Applied Mathematics and Nonlinear Sciences 1 Electronic Research Archive all top 5 Cited in 32 Fields 423 Numerical analysis (65-XX) 361 Fluid mechanics (76-XX) 181 Partial differential equations (35-XX) 64 Classical thermodynamics, heat transfer (80-XX) 54 Biology and other natural sciences (92-XX) 52 Mechanics of deformable solids (74-XX) 22 Statistical mechanics, structure of matter (82-XX) 20 Optics, electromagnetic theory (78-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 12 Computer science (68-XX) 8 Ordinary differential equations (34-XX) 7 Mechanics of particles and systems (70-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 5 Geophysics (86-XX) 4 Statistics (62-XX) 4 Information and communication theory, circuits (94-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-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