## Gibou, Frédéric

Compute Distance To:
 Author ID: gibou.frederic Published as: Gibou, Frédéric; Gibou, Frederic External Links: MGP
 Documents Indexed: 64 Publications since 2002 Co-Authors: 64 Co-Authors with 64 Joint Publications 900 Co-Co-Authors
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### Co-Authors

 0 single-authored 16 Min, Chohong 9 Guittet, Arthur 8 Bochkov, Daniil 8 Theillard, Maxime 6 Egan, Raphael 5 Mirzadeh, Mohammad 4 Fedkiw, Ronald P. 4 Larios-Cárdenas, Luis Ángel 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
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### Serials

 45 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
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### Fields

 49 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) 6 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)

### Citations contained in zbMATH Open

57 Publications have been cited 1,342 times in 627 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
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
2005
A second order accurate level set method on non-graded adaptive Cartesian grids. Zbl 1122.65077
Min, Chohong; Gibou, Frédéric
2007
A review of level-set methods and some recent applications. Zbl 1380.65196
Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley
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
2007
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
2003
Geometric integration over irregular domains with application to level-set methods. Zbl 1125.65021
Min, Chohong; Gibou, Frédéric
2007
An efficient fluid-solid coupling algorithm for single-phase flows. Zbl 1245.76019
Ng, Yen Ting; Min, Chohong; Gibou, Frédéric
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
2006
Efficient symmetric discretization for the Poisson, heat and Stefan-type problems with Robin boundary conditions. Zbl 1182.65140
Papac, Joseph; Gibou, Frédéric; Ratsch, Christian
2010
Solving elliptic problems with discontinuities on irregular domains – the Voronoi interface method. Zbl 1349.65579
Guittet, Arthur; Lepilliez, Mathieu; Tanguy, Sebastien; Gibou, Frédéric
2015
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.
2006
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
2008
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
2015
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. Zbl 1400.76049
Gibou, Frédéric; Min, Chohong
2012
Parallel level-set methods on adaptive tree-based grids. Zbl 1352.65253
2016
A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate. Zbl 1176.80059
Chen, Han; Min, Chohong; Gibou, Frédéric
2009
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
2007
Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. Zbl 1153.65014
Min, Chohong; Gibou, Frédéric
2008
A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids – application to shape optimization. Zbl 1286.74109
Theillard, Maxime; Djodom, Landry Fokoua; Vié, Jean-Léopold; Gibou, Frédéric
2013
A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. Zbl 1351.82082
2014
Minimum energy desynchronizing control for coupled neurons. Zbl 1276.92017
2013
Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. Zbl 1416.65409
Bochkov, Daniil; Gibou, Frederic
2019
High resolution sharp computational methods for elliptic and parabolic problems in complex geometries. Zbl 1263.65093
Gibou, Frédéric; Min, Chohong; Fedkiw, Ron
2013
An adaptive, finite difference solver for the nonlinear Poisson-Boltzmann equation with applications to biomolecular computations. Zbl 1388.65135
2013
On two-phase flow solvers in irregular domains with contact line. Zbl 1349.76355
Lepilliez, Mathieu; Popescu, Elena Roxana; Gibou, Frederic; Tanguy, Sébastien
2016
Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. Zbl 1352.65624
Detrixhe, Miles; Gibou, Frédéric
2016
A sharp computational method for the simulation of the solidification of binary alloys. Zbl 1426.76572
Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa
2015
Level-set simulations of soluble surfactant driven flows. Zbl 1380.76079
Cleret de Langavant, Charles; Guittet, Arthur; Theillard, Maxime; Temprano-Coleto, Fernando; Gibou, Frédéric
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
2009
A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. Zbl 1390.82056
2011
Theillard, Maxime; Rycroft, Chris H.; Gibou, Frédéric
2013
Sharp interface approaches and deep learning techniques for multiphase flows. Zbl 1451.76131
Gibou, Frederic; Hyde, David; Fedkiw, Ron
2019
A local level-set method using a hash table data structure. Zbl 1242.65156
Brun, Emmanuel; Guittet, Arthur; Gibou, Frédéric
2012
Sharp numerical simulation of incompressible two-phase flows. Zbl 1452.76135
Theillard, Maxime; Gibou, Frédéric; Saintillan, David
2019
Poisson equations in irregular domains with Robin boundary conditions – solver with second-order accurate gradients. Zbl 1398.65269
Arias, Victoria; Bochkov, Daniil; Gibou, Frederic
2018
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. Zbl 1329.74303
Rycroft, Chris H.; Gibou, Frédéric
2012
A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid. Zbl 1369.76033
2011
A Voronoi interface approach to cell aggregate electropermeabilization. Zbl 1378.92015
Guittet, Arthur; Poignard, Clair; Gibou, Frederic
2017
Imposing mixed Dirichlet-Neumann-Robin boundary conditions in a level-set framework. Zbl 1390.65132
Helgadóttir, Ásdís; Ng, Yen Ting; Min, Chohong; Gibou, Frédéric
2015
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
2020
Self-consistent field theory simulations of polymers on arbitrary domains. Zbl 1373.82105
Ouaknin, Gaddiel; Laachi, Nabil; Delaney, Kris; Fredrickson, Glenn H.; Gibou, Frederic
2016
A fast Eulerian approach for computation of global isochrons in high dimensions. Zbl 1372.65331
Detrixhe, Miles; Doubeck, Marion; Moehlis, Jeff; Gibou, Frédéric
2016
xGFM: recovering convergence of fluxes in the ghost fluid method. Zbl 1435.76050
Egan, Raphael; Gibou, Frédéric
2020
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
2018
Fast and scalable algorithms for constructing solvent-excluded surfaces of large biomolecules. Zbl 1416.65493
Egan, Raphael; Gibou, Frédéric
2018
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
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
2012
Geometric discretization of the multidimensional Dirac delta distribution – application to the Poisson equation with singular source terms. Zbl 1380.65349
Egan, Raphael; Gibou, Frédéric
2017
Solving elliptic interface problems with jump conditions on Cartesian grids. Zbl 07504724
Bochkov, Daniil; Gibou, Frederic
2020
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
2021
A deep learning approach for the computation of curvature in the level-set method. Zbl 07364333
Larios-Cárdenas, Luis Ángel; Gibou, Frederic
2021
A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. Zbl 1451.76078
Mistani, Pouria; Guittet, Arthur; Poignard, Clair; Gibou, Frederic
2019
Partial differential equations – based segmentation for radiotherapy treatment planning. Zbl 1070.92024
Gibou, Frédéric; Levy, Doron; Cárdenas, Carlos; Liu, Pingyu; Boyer, Arthur
2004
Finite difference schemes for incompressible flows in fully adaptive grids. Zbl 1370.76102
Gibou, Frédéric; Min, Chohong; Ceniceros, Hector
2007
Efficient calculation of fully resolved electrostatics around large biomolecules. Zbl 07516802
Chowdhury, Rochishnu; Egan, Raphael; Bochkov, Daniil; Gibou, Frederic
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
2022
Efficient calculation of fully resolved electrostatics around large biomolecules. Zbl 07516802
Chowdhury, Rochishnu; Egan, Raphael; Bochkov, Daniil; Gibou, Frederic
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
2022
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
2021
A deep learning approach for the computation of curvature in the level-set method. Zbl 07364333
Larios-Cárdenas, Luis Ángel; Gibou, Frederic
2021
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
2020
xGFM: recovering convergence of fluxes in the ghost fluid method. Zbl 1435.76050
Egan, Raphael; Gibou, Frédéric
2020
Solving elliptic interface problems with jump conditions on Cartesian grids. Zbl 07504724
Bochkov, Daniil; Gibou, Frederic
2020
Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. Zbl 1416.65409
Bochkov, Daniil; Gibou, Frederic
2019
Sharp interface approaches and deep learning techniques for multiphase flows. Zbl 1451.76131
Gibou, Frederic; Hyde, David; Fedkiw, Ron
2019
Sharp numerical simulation of incompressible two-phase flows. Zbl 1452.76135
Theillard, Maxime; Gibou, Frédéric; Saintillan, David
2019
A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization. Zbl 1451.76078
Mistani, Pouria; Guittet, Arthur; Poignard, Clair; Gibou, Frederic
2019
A review of level-set methods and some recent applications. Zbl 1380.65196
Gibou, Frederic; Fedkiw, Ronald; Osher, Stanley
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
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
2018
Fast and scalable algorithms for constructing solvent-excluded surfaces of large biomolecules. Zbl 1416.65493
Egan, Raphael; Gibou, Frédéric
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
2017
A Voronoi interface approach to cell aggregate electropermeabilization. Zbl 1378.92015
Guittet, Arthur; Poignard, Clair; Gibou, Frederic
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
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
2017
Parallel level-set methods on adaptive tree-based grids. Zbl 1352.65253
2016
On two-phase flow solvers in irregular domains with contact line. Zbl 1349.76355
Lepilliez, Mathieu; Popescu, Elena Roxana; Gibou, Frederic; Tanguy, Sébastien
2016
Hybrid massively parallel fast sweeping method for static Hamilton-Jacobi equations. Zbl 1352.65624
Detrixhe, Miles; Gibou, Frédéric
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
2016
A fast Eulerian approach for computation of global isochrons in high dimensions. Zbl 1372.65331
Detrixhe, Miles; Doubeck, Marion; Moehlis, Jeff; Gibou, Frédéric
2016
Solving elliptic problems with discontinuities on irregular domains – the Voronoi interface method. Zbl 1349.65579
Guittet, Arthur; Lepilliez, Mathieu; Tanguy, Sebastien; Gibou, Frédéric
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
2015
A sharp computational method for the simulation of the solidification of binary alloys. Zbl 1426.76572
Theillard, Maxime; Gibou, Frédéric; Pollock, Tresa
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
2015
A conservative discretization of the Poisson-Nernst-Planck equations on adaptive Cartesian grids. Zbl 1351.82082
2014
A second-order sharp numerical method for solving the linear elasticity equations on irregular domains and adaptive grids – application to shape optimization. Zbl 1286.74109
Theillard, Maxime; Djodom, Landry Fokoua; Vié, Jean-Léopold; Gibou, Frédéric
2013
Minimum energy desynchronizing control for coupled neurons. Zbl 1276.92017
2013
High resolution sharp computational methods for elliptic and parabolic problems in complex geometries. Zbl 1263.65093
Gibou, Frédéric; Min, Chohong; Fedkiw, Ron
2013
An adaptive, finite difference solver for the nonlinear Poisson-Boltzmann equation with applications to biomolecular computations. Zbl 1388.65135
2013
Theillard, Maxime; Rycroft, Chris H.; Gibou, Frédéric
2013
Efficient symmetric positive definite second-order accurate monolithic solver for fluid/solid interactions. Zbl 1400.76049
Gibou, Frédéric; Min, Chohong
2012
A local level-set method using a hash table data structure. Zbl 1242.65156
Brun, Emmanuel; Guittet, Arthur; Gibou, Frédéric
2012
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory. Zbl 1329.74303
Rycroft, Chris H.; Gibou, Frédéric
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
2012
A second-order discretization of the nonlinear Poisson-Boltzmann equation over irregular geometries using non-graded adaptive Cartesian grids. Zbl 1390.82056
2011
A Poisson-Boltzmann solver on irregular domains with Neumann or Robin boundary conditions on non-graded adaptive grid. Zbl 1369.76033
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
2010
An efficient fluid-solid coupling algorithm for single-phase flows. Zbl 1245.76019
Ng, Yen Ting; Min, Chohong; Gibou, Frédéric
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
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
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
2008
Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions. Zbl 1153.65014
Min, Chohong; Gibou, Frédéric
2008
A second order accurate level set method on non-graded adaptive Cartesian grids. Zbl 1122.65077
Min, Chohong; Gibou, Frédéric
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
2007
Geometric integration over irregular domains with application to level-set methods. Zbl 1125.65021
Min, Chohong; Gibou, Frédéric
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
2007
Finite difference schemes for incompressible flows in fully adaptive grids. Zbl 1370.76102
Gibou, Frédéric; Min, Chohong; Ceniceros, Hector
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
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.
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
2005
Partial differential equations – based segmentation for radiotherapy treatment planning. Zbl 1070.92024
Gibou, Frédéric; Levy, Doron; Cárdenas, Carlos; Liu, Pingyu; Boyer, Arthur
2004
A level set approach for the numerical simulation of dendritic growth. Zbl 1081.74560
Gibou, Frédéric; Fedkiw, Ronald; Caflisch, Russel; Osher, Stanley
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
2002
all top 5

### Cited by 1,245 Authors

 48 Gibou, Frédéric 23 Min, Chohong 16 Fedkiw, Ronald P. 12 Theillard, Maxime 10 Nave, Jean-Christophe 10 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 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 Coco, Armando 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 Rosales, Rodolfo Ruben 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 Bhalla, Amneet Pal Singh 3 Chai, Min 3 Chen, Han 3 Cho, Hyuntae 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 Popinet, Stéphane 3 Qin, Zhipeng 3 Qiu, Linhai 3 Ratsch, Christian 3 Russo, Giovanni 3 Saintillan, David 3 Schroeder, Craig 3 Schwendeman, Donald William 3 Seaïd, Mohammed 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 3 Vahab, Mehdi 3 Vikhansky, Alexander ...and 1,145 more Authors
all top 5

### Cited in 89 Serials

 316 Journal of Computational Physics 46 Journal of Scientific Computing 35 Computers and Fluids 19 SIAM Journal on Scientific Computing 18 Journal of Fluid Mechanics 16 Journal of Computational and Applied Mathematics 14 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 5 International Journal for Numerical Methods in Engineering 5 Applied Mathematical Modelling 5 Engineering Analysis with Boundary Elements 5 International Journal of Computational Fluid Dynamics 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 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 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 Electronic Research Archive
all top 5

### Cited in 32 Fields

 405 Numerical analysis (65-XX) 343 Fluid mechanics (76-XX) 173 Partial differential equations (35-XX) 59 Classical thermodynamics, heat transfer (80-XX) 54 Biology and other natural sciences (92-XX) 53 Mechanics of deformable solids (74-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Optics, electromagnetic theory (78-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 13 Computer science (68-XX) 7 Ordinary differential equations (34-XX) 6 Mechanics of particles and systems (70-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 4 Statistics (62-XX) 4 Geophysics (86-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)