## FreeFem++

 swMATH ID: 1436 Software Authors: Olivier Pironneau, Frédéric Hecht, Antoine Le Hyaric, Jacques Morice Description: FreeFem++ is an implementation of a language dedicated to the finite element method. It enables you to solve Partial Differential Equations (PDE) easily. Problems involving PDE (2d, 3d) from several branches of physics such as fluid-structure interactions require interpolations of data on several meshes and their manipulation within one program. FreeFem++ includes a fast 2^d-tree-based interpolation algorithm and a language for the manipulation of data on multiple meshes (as a follow up of bamg). FreeFem++ is written in C++ and the FreeFem++ language is a C++ idiom. It runs on any Unix-like OS (with g++ version 3 or higher, X11R6 or OpenGL with GLUT) Linux, FreeBSD, Solaris 10, Microsoft Windows ( 2000, NT, XP, Vista,7 ) and MacOS X (native version using OpenGL). FreeFem++ replaces the older freefem and freefem+. Homepage: http://www.freefem.org/ff++/index.htm Programming Languages: C++ Operating Systems: Unix-like OS (with g++ version 3 or higher, X11R6 or OpenGL with GLUT) Linux, FreeBSD, Solaris 10, Microsoft Windows ( 2000, NT, XP, Vista,7 ) and MacOS X (native version using OpenGL) Keywords: particulate flows; fluid-particle flows; direct numerical simulation; penalty method; Navier-Stokes equations; finite-element method; inelastic contacts Related Software: FEniCS; PETSc; UMFPACK; deal.ii; Gmsh; MUMPS; Matlab; Ipopt; ParaView; libMesh; GitHub; DOLFIN; METIS; ARPACK; Feel++; Python; bamg; SyFi; Firedrake; hypre Referenced in: 1,398 Publications
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### Referenced by 1,863 Authors

 44 Hecht, Frédéric 29 Zheng, Haibiao 28 Bernardi, Christine 28 Shang, Yueqiang 26 Allaire, Grégoire 26 Feng, Xinlong 26 Hou, Yanren 25 He, Yinnian 24 Burman, Erik 23 Huang, Pengzhan 21 Gatica, Gabriel N. 21 Nataf, Frédéric 20 Oyarzúa, Ricardo 20 Sayah, Toni 19 Pironneau, Olivier 19 Si, Zhiyong 18 Layton, William J. 17 Chacón Rebollo, Tomás 17 Jolivet, Pierre 17 Rebholz, Leo G. 15 Fernández, Miguel Ángel 14 Murea, Cornel Marius 13 Assous, Franck 13 Dapogny, Charles 13 Guillén González, Francisco M. 13 Jiang, Yaolin 13 Yang, Yunbo 12 Caucao, Sergio 12 Perotto, Simona 11 Dolean, Victorita 11 Girault, Vivette 11 Jia, Hongen 11 Kaya, Songul 11 Rubino, Samuele 11 Shi, Feng 10 Çibik, Aytekin Bayram 10 Gómez Mármol, Macarena 10 Maday, Yvon 10 Marquet, Olivier 10 Shan, Li 10 Vohralík, Martin 10 Yakoubi, Driss 9 An, Rong 9 Belhachmi, Zakaria 9 Ern, Alexandre 9 Li, Jian 9 Lozinski, Alexei 9 Münch, Arnaud 9 Neda, Monika 9 Sinha, Rajen Kumar 9 Wang, Yunxia 9 Zhu, Shengfeng 8 Al Mahbub, Md. Abdullah 8 Danaila, Ionut 8 Han, Daozhi 8 Manica, Carolina Cardoso 8 Mghazli, Zoubida 8 Micheletti, Stefano 8 Sipp, Denis 8 Tierra, Giordano 8 Yu, Jiaping 8 Zhang, Yunzhang 7 Bukač, Martina 7 Cherfils, Laurence 7 Coenen, Wilfried 7 Du, Guangzhi 7 Feng, Minfu 7 Fernández, Jose Ramon 7 Jiang, Nan 7 Li, Peijun 7 Pantz, Olivier 7 Rodríguez Galván, José Rafael 7 Rosier, Carole 7 Shen, Xiaoqin 7 Sheu, Tony Wen-Hann 7 Spillane, Nicole 7 Tournier, Pierre-Henri 7 Zhang, Yuhong 7 Zuo, Liyun 6 Alvarez-Vázquez, Lino Jose 6 Bogoşel, Beniamin 6 Campo, Marco A. 6 Caubet, Fabien 6 Chaparian, Emad 6 Colmenares, Eligio 6 Connors, Jeffrey Mark 6 Darbas, Marion 6 Ervin, Vincent J. 6 Favennec, Yann 6 Fernández-Cara, Enrique 6 Fernández, Francisco Javier 6 Gao, Zhiming 6 Grigori, Laura 6 Haddar, Houssem 6 Kashiwabara, Takahito 6 Kovtanyuk, Andrey Egorovich 6 Kray, Marie 6 Le Bris, Claude 6 Lin, Ping 6 Ma, Yichen ...and 1,763 more Authors
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### Referenced in 212 Serials

 72 Computer Methods in Applied Mechanics and Engineering 67 Computers & Mathematics with Applications 65 Journal of Fluid Mechanics 63 Journal of Computational Physics 62 Journal of Scientific Computing 52 Journal of Computational and Applied Mathematics 48 Applied Numerical Mathematics 43 Applied Mathematics and Computation 42 SIAM Journal on Scientific Computing 41 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 30 Comptes Rendus. Mathématique. Académie des Sciences, Paris 27 Numerische Mathematik 24 Numerical Methods for Partial Differential Equations 21 SIAM Journal on Numerical Analysis 20 Numerical Algorithms 20 Applied Mathematical Modelling 20 Journal of Numerical Mathematics 19 Inverse Problems 19 Advances in Applied Mathematics and Mechanics 18 Journal of Mathematical Analysis and Applications 16 Computational Methods in Applied Mathematics 13 Calcolo 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Computers and Fluids 12 Mathematics of Computation 12 Applications of Mathematics 12 SIAM Journal on Applied Mathematics 12 Computational and Applied Mathematics 12 Advances in Computational Mathematics 10 Mathematics and Computers in Simulation 10 International Journal of Computer Mathematics 10 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 10 Multiscale Modeling & Simulation 9 Mathematical Methods in the Applied Sciences 9 International Journal of Computational Fluid Dynamics 9 Inverse Problems in Science and Engineering 8 ACM Transactions on Mathematical Software 8 Communications in Computational Physics 7 Journal of Mathematical Biology 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Discrete and Continuous Dynamical Systems. Series B 7 International Journal of Numerical Analysis and Modeling 6 Applied Mathematics and Optimization 6 Journal of Optimization Theory and Applications 6 Computational Mechanics 6 Applied Mathematics Letters 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Inverse Problems and Imaging 6 Discrete and Continuous Dynamical Systems. Series S 6 S$$\vec{\text{e}}$$MA Journal 6 Journal of Theoretical Biology 6 SMAI Journal of Computational Mathematics 5 International Journal for Numerical Methods in Engineering 5 Japan Journal of Industrial and Applied Mathematics 5 SIAM Journal on Mathematical Analysis 5 Computational Optimization and Applications 5 European Journal of Mechanics. B. Fluids 5 Computational Geosciences 5 Mathematical Modelling and Analysis 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 4 Applicable Analysis 4 Wave Motion 4 BIT 4 Chinese Annals of Mathematics. Series B 4 Mathematics and Mechanics of Solids 4 Journal of Mathematical Fluid Mechanics 4 Advances in Difference Equations 4 Mathematical Biosciences and Engineering 4 Mathematical Modelling of Natural Phenomena 4 SIAM Journal on Imaging Sciences 3 Acta Mechanica 3 Computer Physics Communications 3 IMA Journal of Numerical Analysis 3 International Journal for Numerical Methods in Fluids 3 Journal of Engineering Mathematics 3 Journal of the Franklin Institute 3 Computing 3 Journal of Differential Equations 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerical Functional Analysis and Optimization 3 Computational Mathematics and Mathematical Physics 3 Journal of Mathematical Imaging and Vision 3 Calculus of Variations and Partial Differential Equations 3 Journal of Inverse and Ill-Posed Problems 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Nonlinear Analysis. Real World Applications 3 Communications on Pure and Applied Analysis 3 Journal of Applied Mathematics and Computing 3 Boundary Value Problems 3 GEM - International Journal on Geomathematics 3 Mathematical Control and Related Fields 3 SIAM/ASA Journal on Uncertainty Quantification 2 Communications in Mathematical Physics 2 Mathematical Biosciences 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Journal of Computational Mathematics 2 Physica D ...and 112 more Serials
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### Referenced in 40 Fields

 944 Numerical analysis (65-XX) 683 Fluid mechanics (76-XX) 598 Partial differential equations (35-XX) 213 Mechanics of deformable solids (74-XX) 149 Calculus of variations and optimal control; optimization (49-XX) 106 Biology and other natural sciences (92-XX) 59 Optics, electromagnetic theory (78-XX) 58 Classical thermodynamics, heat transfer (80-XX) 37 Computer science (68-XX) 33 Geophysics (86-XX) 33 Systems theory; control (93-XX) 28 Operations research, mathematical programming (90-XX) 24 Statistical mechanics, structure of matter (82-XX) 15 Probability theory and stochastic processes (60-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Operator theory (47-XX) 9 Information and communication theory, circuits (94-XX) 8 Ordinary differential equations (34-XX) 8 Statistics (62-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 General and overarching topics; collections (00-XX) 4 Approximations and expansions (41-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Differential geometry (53-XX) 3 Quantum theory (81-XX) 2 Functions of a complex variable (30-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX)