FEniCS swMATH ID: 4314 Software Authors: Simula Research Laboratory, University of Cambridge, University of Chicago, Texas Tech University and KTH Royal Institute of Technology Description: The FEniCS Project is a collaborative project for the development of innovative concepts and tools for automated scientific computing, with a particular focus on automated solution of differential equations by finite element methods. FEniCS has an extensive list of features for automated, efficient solution of differential equations, including automated solution of variational problems, automated error control and adaptivity, a comprehensive library of finite elements, high performance linear algebra and many more. Homepage: http://fenicsproject.org/ Programming Languages: C++, Python Operating Systems: Linux, Unix, Mac OS X, Windows Keywords: automated; efficient solution of differential equations Related Software: SyFi; PETSc; DOLFIN; Gmsh; Python; deal.ii; FreeFem++; UFL; Firedrake; ParaView; GitHub; MUMPS; SciPy; hypre; Matlab; Adam; FFC; NumPy; FIAT; libMesh Cited in: 1,012 Documents Further Publications: http://fenicsproject.org/citing/ Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Solving PDEs in Python. The FEniCS tutorial I. Zbl 1376.65144Langtangen, Hans Petter; Logg, Anders 2016 Automated solution of differential equations by the finite element method. The FEniCS book. Zbl 1247.65105Logg, Anders (ed.); Mardal, Kent-Andre (ed.); Wells, Garth (ed.) 2012 all top 5 Cited by 1,922 Authors 22 Ruiz-Baier, Ricardo 20 Vasilyeva, Maria V. 16 Herzog, Roland 14 Chung, Tsz Shun Eric 14 Mardal, Kent-Andre 14 Vabishchevich, Pëtr Nikolaevich 13 Abali, Bilen Emek 13 Gao, Huadong 12 Xie, Dexuan 11 Doostan, Alireza 11 Gatica, Gabriel N. 11 Ghattas, Omar N. 11 Rozza, Gianluigi 10 Ballarin, Francesco 10 Burman, Erik 10 Farrell, Patrick E. 10 Logg, Anders 10 Schmidt, Stephan 10 Yousept, Irwin 9 Eigel, Martin 9 Kahle, Christian 9 Kirby, Robert C. 9 Rognes, Marie E. 9 Sun, Weiwei 9 van Bockstal, Karel 9 Wohlmuth, Barbara I. 8 Bordas, Stéphane Pierre Alain 8 Kamensky, David 8 Nordbotten, Jan Martin 7 Calo, Victor Manuel 7 Efendiev, Yalchin R. 7 Funke, Simon W. 7 Hale, Jack S. 7 Ham, David A. 7 Hoffman, Johan 7 Mitchell, Lawrence 7 Wachsmuth, Gerd 7 Xu, Jinchao 6 Bleyer, Jérémy 6 Kashiwabara, Takahito 6 Knudsen, Kim M. 6 Lee, Jeonghun J. 6 Massing, André 6 Nakshatrala, Kalyana B. 6 Nazarov, Murtazo 6 Oden, John Tinsley 6 Stepanov, Sergei P. 6 Uğur, Ömür 6 Wells, Garth N. 6 Yotov, Ivan 6 Zhou, Guanyu 5 Barnafi, Nicolás A. 5 Boon, Wietse M. 5 Burrage, Clare 5 Chen, Peng 5 Claus, Susanne 5 Cotter, Colin John 5 Dawson, Clint N. 5 Hampton, Jerrad 5 Heiland, Jan 5 Hurtado, Daniel E. 5 Jansson, Johan 5 Karl, Veronika 5 Kuchta, Miroslav 5 Layton, William J. 5 Li, Jichun 5 Málek, Josef 5 Meddahi, Salim 5 Méndez, Paul E. 5 Mortensen, Mikael 5 Müller, Wolfgang H. 5 Oikawa, Issei 5 Oyarzúa, Ricardo 5 Qiu, Weifeng 5 Saibaba, Arvind Krishna 5 Schneider, Reinhold 5 Schneier, Michael 5 Sherina, Ekaterina Sergeevna 5 Slodička, Marián 5 Valseth, Eirik 5 Villa, Umberto E. 5 Ying, Jinyong 5 Zabaras, Nicholas J. 4 Ambartsumyan, Ilona 4 Ammosov, D. A. 4 Ammosov, Dmitry 4 Arnold, Douglas Norman 4 Bertoglio, Cristóbal 4 Blauth, Sebastian 4 Bui-Thanh, Tan 4 Chandrashekar, Praveen 4 Chang, Justin 4 Chouly, Franz 4 Ciarletta, Pasquale 4 Clason, Christian 4 Croci, Matteo 4 DeCaria, Victor P. 4 Fritz, Marvin 4 Garcke, Harald 4 Geiersbach, Caroline ...and 1,822 more Authors all top 5 Cited in 160 Serials 97 Computer Methods in Applied Mechanics and Engineering 90 Journal of Computational Physics 85 SIAM Journal on Scientific Computing 51 Computers & Mathematics with Applications 39 Journal of Computational and Applied Mathematics 37 SIAM Journal on Numerical Analysis 34 Journal of Scientific Computing 26 Journal of Fluid Mechanics 26 Computational Mechanics 19 Applied Mathematical Modelling 18 Computational Geosciences 17 ACM Transactions on Mathematical Software 17 Numerische Mathematik 16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Computers and Fluids 13 SIAM Journal on Applied Mathematics 12 Applied Mathematics and Computation 12 Advances in Computational Mathematics 11 Inverse Problems 11 SIAM/ASA Journal on Uncertainty Quantification 9 Computational Optimization and Applications 8 BIT 8 Applied Numerical Mathematics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Computational Methods in Applied Mathematics 7 SIAM Journal on Control and Optimization 6 International Journal of Engineering Science 6 Journal of the Mechanics and Physics of Solids 6 Numerical Algorithms 6 Journal of Elasticity 6 Communications in Nonlinear Science and Numerical Simulation 6 Optimization and Engineering 6 Journal of Cosmology and Astroparticle Physics 6 Communications in Computational Physics 5 Computer Physics Communications 5 SIAM Journal on Optimization 5 Mathematics and Mechanics of Solids 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 European Journal of Mechanics. A. Solids 5 SIAM Journal on Imaging Sciences 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Calcolo 4 Computational Mathematics and Mathematical Physics 4 Numerical Linear Algebra with Applications 4 Optimization Methods & Software 4 Journal of Mathematical Fluid Mechanics 4 European Journal of Mechanics. B. Fluids 4 Journal of Numerical Mathematics 4 International Journal of Numerical Analysis and Modeling 4 GEM - International Journal on Geomathematics 4 SMAI Journal of Computational Mathematics 3 Acta Mechanica 3 Journal of Engineering Mathematics 3 Applied Mathematics and Optimization 3 Meccanica 3 Applied Mathematics Letters 3 SIAM Journal on Matrix Analysis and Applications 3 Journal of Mathematical Imaging and Vision 3 Continuum Mechanics and Thermodynamics 3 Journal of Inverse and Ill-Posed Problems 3 Archives of Computational Methods in Engineering 3 Foundations of Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Multiscale Modeling & Simulation 3 International Journal of Advances in Engineering Sciences and Applied Mathematics 3 Journal of Mathematics in Industry 3 Journal of Theoretical Biology 3 Communications on Applied Mathematics and Computation 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Biology 2 Wave Motion 2 Bulletin of Mathematical Biology 2 International Journal for Numerical Methods in Engineering 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 International Journal of Computer Mathematics 2 Mathematical Programming. Series A. Series B 2 Journal of Nonlinear Science 2 Engineering Analysis with Boundary Elements 2 Vietnam Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Texts in Computational Science and Engineering 2 Networks and Heterogeneous Media 2 Algorithms 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Simula SpringerBriefs on Computing 2 Results in Applied Mathematics 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Mathematical Biosciences 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Journal of Differential Equations 1 Mathematica Scandinavica 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire ...and 60 more Serials all top 5 Cited in 41 Fields 653 Numerical analysis (65-XX) 328 Partial differential equations (35-XX) 321 Fluid mechanics (76-XX) 244 Mechanics of deformable solids (74-XX) 108 Calculus of variations and optimal control; optimization (49-XX) 84 Computer science (68-XX) 78 Biology and other natural sciences (92-XX) 63 Optics, electromagnetic theory (78-XX) 42 Geophysics (86-XX) 33 Statistics (62-XX) 33 Operations research, mathematical programming (90-XX) 28 Probability theory and stochastic processes (60-XX) 26 Classical thermodynamics, heat transfer (80-XX) 25 Statistical mechanics, structure of matter (82-XX) 17 Operator theory (47-XX) 17 Systems theory; control (93-XX) 14 Information and communication theory, circuits (94-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Integral equations (45-XX) 8 Relativity and gravitational theory (83-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Ordinary differential equations (34-XX) 6 Approximations and expansions (41-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Quantum theory (81-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Differential geometry (53-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year