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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: PETSc; FEniCS; UMFPACK; Gmsh; deal.ii; MUMPS; Matlab; Ipopt; DOLFIN; GitHub; ParaView; Firedrake; bamg; libMesh; ARPACK; SLEPc; Python; Feel++; METIS; hypre
Cited in: 1,721 Documents
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Cited by 2,207 Authors

50 Hecht, Frédéric
38 Shang, Yueqiang
33 Zheng, Haibiao
31 Feng, Xinlong
30 He, Yinnian
30 Huang, Pengzhan
29 Allaire, Grégoire
28 Bernardi, Christine
27 Burman, Erik
27 Gatica, Gabriel N.
27 Sayah, Toni
26 Hou, Yanren
24 Oyarzúa, Ricardo
23 Nataf, Frédéric
22 Caucao, Sergio
22 Si, Zhiyong
21 Jolivet, Pierre
21 Pironneau, Olivier
19 Zhu, Shengfeng
18 Chacón Rebollo, Tomás
18 Layton, William J.
18 Rebholz, Leo Gregory
17 Jiang, Yaolin
16 Fernández, Miguel Ángel
15 Assous, Franck
15 Guillén González, Francisco M.
15 Perotto, Simona
15 Yakoubi, Driss
14 Dapogny, Charles
14 Kaya, Songul
14 Murea, Cornel Marius
14 Shi, Feng
14 Yang, Yunbo
13 Çibik, Aytekin Bayram
13 Danaila, Ionut
13 Jia, Hongen
13 Tournier, Pierre-Henri
12 Dolean, Victorita
12 Du, Guangzhi
12 Lozinski, Alexei
12 Münch, Arnaud
12 Rubino, Samuele
12 Yamada, Takayuki
11 An, Rong
11 Girault, Vivette
11 Gómez Mármol, Macarena
11 Maday, Yvon
11 Marquet, Olivier
11 Sinha, Rajen Kumar
11 Sipp, Denis
11 Wang, Yunxia
10 Al Mahbub, Md. Abdullah
10 Ern, Alexandre
10 Li, Jian
10 Neda, Monika
10 Shan, Li
10 Tierra, Giordano
10 Vohralík, Martin
9 Belhachmi, Zakaria
9 Bogoşel, Beniamin
9 Bukač, Martina
9 Colmenares, Eligio
9 Haddar, Houssem
9 Li, Peijun
9 Micheletti, Stefano
9 Yu, Jiaping
9 Zuo, Liyun
8 Chaparian, Emad
8 Han, Daozhi
8 Jiang, Nan
8 Lin, Ping
8 Manica, Carolina Cardoso
8 Mghazli, Zoubida
8 Notsu, Hirofumi
8 Rong, Yao
8 Sadaka, Georges
8 Shen, Xiaoqin
8 Takhirov, Aziz
8 Yotov, Ivan
8 Zhang, Yuhong
8 Zhang, Yunzhang
7 Alvarez-Vázquez, Lino Jose
7 Caubet, Fabien
7 Cherfils, Laurence
7 Chouly, Franz
7 Coenen, Wilfried
7 Darbas, Marion
7 Feng, Minfu
7 Fernández-Cara, Enrique
7 Fernández, Francisco Javier
7 Fernández, Jose Ramon
7 Le Bris, Claude
7 Legoll, Frédéric
7 Martinez, Aurea
7 Pantz, Olivier
7 Pedregal, Pablo
7 Rodríguez Galván, José Rafael
7 Rosier, Carole
7 Sheu, Tony Wen-Hann
7 Spillane, Nicole
...and 2,107 more Authors
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Cited in 246 Serials

93 Computers & Mathematics with Applications
92 Computer Methods in Applied Mechanics and Engineering
76 Journal of Computational Physics
76 Journal of Fluid Mechanics
73 Journal of Scientific Computing
66 Journal of Computational and Applied Mathematics
58 Applied Numerical Mathematics
51 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
48 Applied Mathematics and Computation
48 SIAM Journal on Scientific Computing
31 Comptes Rendus. Mathématique. Académie des Sciences, Paris
30 Numerische Mathematik
27 SIAM Journal on Numerical Analysis
25 Numerical Methods for Partial Differential Equations
24 Numerical Algorithms
23 Inverse Problems
21 Journal of Mathematical Analysis and Applications
21 Applied Mathematical Modelling
20 Journal of Numerical Mathematics
20 Advances in Applied Mathematics and Mechanics
19 Computational Methods in Applied Mathematics
18 Calcolo
16 Computers and Fluids
16 Advances in Computational Mathematics
15 International Journal of Computer Mathematics
14 Mathematics of Computation
14 Mathematics and Computers in Simulation
14 SIAM Journal on Applied Mathematics
14 Computational and Applied Mathematics
13 Applications of Mathematics
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Discrete and Continuous Dynamical Systems. Series B
12 International Journal of Numerical Analysis and Modeling
11 Communications in Nonlinear Science and Numerical Simulation
10 Computer Physics Communications
10 ACM Transactions on Mathematical Software
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 Applied Mathematics and Optimization
8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Communications in Computational Physics
8 Inverse Problems and Imaging
8 Discrete and Continuous Dynamical Systems. Series S
8 SMAI Journal of Computational Mathematics
7 Journal of Mathematical Biology
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 International Journal for Numerical Methods in Engineering
7 Computational Mechanics
7 Japan Journal of Industrial and Applied Mathematics
7 Computational Geosciences
7 S\(\vec{\text{e}}\)MA Journal
6 Journal of Optimization Theory and Applications
6 Applied Mathematics Letters
6 SIAM Journal on Mathematical Analysis
6 Computational Optimization and Applications
6 Mathematical Modelling and Analysis
6 Mathematical Control and Related Fields
6 Journal of Theoretical Biology
5 Applicable Analysis
5 BIT
5 Mathematics and Mechanics of Solids
5 European Journal of Mechanics. B. Fluids
5 Journal of Applied Mathematics and Computing
5 Boundary Value Problems
5 SIAM Journal on Imaging Sciences
5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 Journal of Engineering Mathematics
4 Wave Motion
4 Chinese Annals of Mathematics. Series B
4 Acta Applicandae Mathematicae
4 Journal of Computational Mathematics
4 Computational Mathematics and Mathematical Physics
4 Journal of Mathematical Fluid Mechanics
4 Advances in Difference Equations
4 Mathematical Biosciences and Engineering
4 Mathematical Modelling of Natural Phenomena
4 GEM - International Journal on Geomathematics
4 JSIAM Letters
4 Evolution Equations and Control Theory
3 Acta Mechanica
3 IMA Journal of Numerical Analysis
3 International Journal for Numerical Methods in Fluids
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 SIAM Journal on Control and Optimization
3 The Journal of Geometric Analysis
3 Journal of Mathematical Imaging and Vision
3 Calculus of Variations and Partial Differential Equations
3 Electronic Journal of Differential Equations (EJDE)
3 Numerical Linear Algebra with Applications
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
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Cited in 41 Fields

1,177 Numerical analysis (65-XX)
844 Fluid mechanics (76-XX)
790 Partial differential equations (35-XX)
268 Mechanics of deformable solids (74-XX)
185 Calculus of variations and optimal control; optimization (49-XX)
125 Biology and other natural sciences (92-XX)
76 Classical thermodynamics, heat transfer (80-XX)
74 Optics, electromagnetic theory (78-XX)
45 Systems theory; control (93-XX)
42 Computer science (68-XX)
40 Geophysics (86-XX)
38 Operations research, mathematical programming (90-XX)
26 Statistical mechanics, structure of matter (82-XX)
19 Operator theory (47-XX)
17 Probability theory and stochastic processes (60-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Statistics (62-XX)
10 Ordinary differential equations (34-XX)
10 Integral equations (45-XX)
9 Information and communication theory, circuits (94-XX)
8 Approximations and expansions (41-XX)
7 Real functions (26-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Functional analysis (46-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Quantum theory (81-XX)
5 General and overarching topics; collections (00-XX)
4 Potential theory (31-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Mathematics education (97-XX)
2 Functions of a complex variable (30-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
1 Combinatorics (05-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Mechanics of particles and systems (70-XX)
1 Astronomy and astrophysics (85-XX)

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