## SyFi

 swMATH ID: 5701 Software Authors: Kent-Andre Mardal Description: The finite element package SyFi is a C++ library built on top of the symbolic math library GiNaC. The name SyFi stands for Symbolic Finite Elements. The package provides polygonal domains, polynomial spaces, and degrees of freedom as symbolic expressions that are easily manipulated. This makes it easy to define finite elements. Homepage: https://launchpad.net/fenics-syfi Programming Languages: C++ Keywords: Scientific/Engineering; Mathematics Related Software: FEniCS; PETSc; Gmsh; DOLFIN; UFL; MUMPS; Python; FreeFem++; hypre; ParaView; FFC; FIAT; Firedrake; SciPy; deal.ii; ImageNet; TensorFlow; UMFPACK; UFC; AlexNet Cited in: 225 Publications
all top 5

### Cited by 498 Authors

 15 Vasilyeva, Maria V. 11 Abali, Bilen Emek 10 Chung, Tsz Shun Eric 8 Vabishchevich, Pëtr Nikolaevich 6 Ghattas, Omar N. 6 Kahle, Christian 5 Bleyer, Jérémy 5 Li, Jichun 5 Logg, Anders 5 Mardal, Kent-Andre 4 Burman, Erik 4 Efendiev, Yalchin R. 4 Farrell, Patrick E. 4 Li, Jiao 4 Nakshatrala, K. B. 4 Spiridonov, Denis 4 Wells, Garth N. 4 Xie, Dexuan 4 Ying, Jinyong 4 Zohdi, Tarek I. 3 Alekseev, Valentin 3 Ballarin, Francesco 3 Bersani, Alberto Maria 3 Chen, Peng 3 Ciarletta, Pasquale 3 Croci, Matteo 3 Hinze, Michael 3 Huang, Yunqing 3 Kirby, Robert C. 3 Knudsen, Kim M. 3 Kuchta, Miroslav 3 Lee, Jeonghun J. 3 Oden, John Tinsley 3 Rognes, Marie E. 3 Rozza, Gianluigi 3 Schneier, Michael 3 Shekarchizadeh, Navid 3 Siudeja, Bartłomiej Andrzej 2 Alger, Nick 2 Alnæs, Martin Sandve 2 Aydin, Gokhan 2 Babaei, Masoud 2 Bonart, Henning 2 Dedner, Andreas S. 2 Ebeling-Rump, Moritz 2 Fang, Zhiwei 2 Giles, Michael B. 2 Giorgio, Ivan 2 Girolami, Mark A. 2 Grüninger, Christoph 2 Han, Yucen 2 Hömberg, Dietmar 2 Joodat, S. H. S. 2 Kean, Kiera 2 Klöfkorn, Robert 2 Lam, Kei Fong 2 Lasarzik, Robert 2 Lepe, Felipe 2 Leung, Wing T. 2 Leung, Wingtat 2 Lu, Benzhuo 2 Maddison, James R. 2 Majumdar, Apala 2 Metti, Maximilian S. 2 Mitchell, Lawrence 2 Mortensen, Mikael 2 Nazarov, Murtazo 2 Ølgaard, Kristian B. 2 Papadopoulos, Ioannis P. A. 2 Qian, Xiaoping 2 Quarteroni, Alfio M. 2 Queiruga, Alejandro Francisco 2 Reuber, Georg S. 2 Riccobelli, Davide 2 Rivera, Gonzalo 2 Stadler, Georg 2 Stepanov, Sergei P. 2 Strizhov, Valery F. 2 Stuart, Andrew M. 2 Tyrylgin, Aleksei 2 Tyrylgin, Aleksey 2 van ’t Wout, Elwin 2 Vasil’ev, Vasiliĭ Ivanovich 2 Vasylyeva, Nataliya V. 2 Vellojin, Jesus 2 Villa, Umberto E. 2 Vynnytska, Lyudmyla 2 Wohlmuth, Barbara I. 2 Xu, Jinchao 2 Yildizdag, M. Erden 1 Abdelmoula, Radhi 1 Ackermann, Sina 1 Ahlkrona, Josefin 1 Aldakheel, Fadi 1 Alessi, Roberto 1 Alexanderian, Alen 1 Alexe, Mihai 1 Ali, Baharin 1 Alonso, Diego Hayashi 1 Ambrosi, Davide ...and 398 more Authors
all top 5

### Cited in 68 Serials

 29 Journal of Computational Physics 23 Computer Methods in Applied Mechanics and Engineering 20 SIAM Journal on Scientific Computing 15 Computers & Mathematics with Applications 13 Journal of Computational and Applied Mathematics 6 Inverse Problems 6 Computational Mechanics 6 Journal of Scientific Computing 5 SIAM Journal on Numerical Analysis 5 SIAM Journal on Applied Mathematics 4 ACM Transactions on Mathematical Software 4 Applied Mathematical Modelling 4 Advances in Computational Mathematics 4 Mathematics and Mechanics of Solids 4 SIAM/ASA Journal on Uncertainty Quantification 3 SIAM Journal on Control and Optimization 3 Journal of Elasticity 3 GEM - International Journal on Geomathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Fluid Mechanics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Applied Numerical Mathematics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 European Journal of Mechanics. A. Solids 2 Computational Geosciences 2 Foundations of Computational Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Computers and Fluids 1 International Journal of Engineering Science 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Wave Motion 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 Computational Mathematics and Mathematical Physics 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Computational Optimization and Applications 1 Applied and Computational Harmonic Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Vychislitel’nye Tekhnologii 1 Mathematical and Computer Modelling of Dynamical Systems 1 Optimization and Engineering 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Sādhanā 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 International Journal of Numerical Analysis and Modeling 1 Mathematical Biosciences and Engineering 1 Lecture Notes in Computational Science and Engineering 1 Communications in Computational Physics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of Mathematics in Industry 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics
all top 5

### Cited in 29 Fields

 147 Numerical analysis (65-XX) 73 Partial differential equations (35-XX) 71 Fluid mechanics (76-XX) 61 Mechanics of deformable solids (74-XX) 23 Optics, electromagnetic theory (78-XX) 19 Biology and other natural sciences (92-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Computer science (68-XX) 10 Geophysics (86-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Statistics (62-XX) 6 Operations research, mathematical programming (90-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)