## DOLFIN

 swMATH ID: 4313 Software Authors: Anders Logg, Johan Hoffman, Garth N. Wells, Johan Jansson, Ola Skavhaug, Kent-Andre Mardal, Martin Sandve Alnes, Johan Hake, Niclas Jansson, Johannes Ring, Kristian B. Ølgaard, Marie Rognes Description: DOLFIN is a C++/Python library that functions as the main user interface of FEniCS. A large part of the functionality of FEniCS is implemented as part of DOLFIN. It provides a problem solving environment for models based on partial differential equations and implements core parts of the functionality of FEniCS, including data structures and algorithms for computational meshes and finite element assembly. To provide a simple and consistent user interface, DOLFIN wraps the functionality of other FEniCS components and external software, and handles the communication between these components. Homepage: http://fenicsproject.org/ Programming Languages: C++/Python Operating Systems: Ubuntu, Debian, Mac OS X 10.6, Mac OS X 10.7, Windows Dependencies: FEniCS Keywords: Automated Finite Element Computing; a C++/Python Finite Element Library; FEniCS project; code generation; form compile Related Software: FEniCS; PETSc; UFL; Python; deal.ii; SyFi; FIAT; Firedrake; Gmsh; FFC; FreeFem++; hypre; SciPy; MUMPS; Trilinos; GitHub; NumPy; Matlab; ParMETIS; UFC Referenced in: 194 Publications

### Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
DOLFIN: automated finite element computing. Zbl 1364.65254
Logg, Anders; Wells, Garth N.
2010
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### Referenced by 345 Authors

 10 Logg, Anders 10 van Bockstal, Karel 10 Xie, Dexuan 8 Rognes, Marie E. 8 Wells, Garth N. 6 Clason, Christian 6 Funke, Simon W. 6 Knepley, Matthew G. 6 Ying, Jinyong 5 Hale, Jack S. 5 Jiang, Yi 5 Kamensky, David 5 Karl, Veronika 5 Kirby, Robert C. 5 Massing, André 5 Mitchell, Lawrence 5 Saibaba, Arvind Krishna 5 Scott, Larkin Ridgway 4 Bordas, Stéphane Pierre Alain 4 Kitanidis, Peter K. 4 Kunisch, Karl 4 Larson, Mats G. 4 Pryer, Tristan 4 Zampini, Stefano 3 Abali, Bilen Emek 3 Bakhos, Tania 3 Banaś, Krzysztof 3 Bazilevs, Yuri 3 Farrell, Patrick E. 3 Ham, David A. 3 Marin, Liviu 3 Pörner, Frank 3 Rüde, Ulrich 3 Slodička, Marián 3 Wachsmuth, Daniel 3 Waluga, Christian 3 Wohlmuth, Barbara I. 2 Alnæs, Martin Sandve 2 Brune, Peter R. 2 Chebotarev, Alexander Yurievich 2 Cotter, Colin John 2 Dokken, Jørgen S. 2 Giesselmann, Jan 2 Hauseux, Paul 2 Hendy, Ahmed S. 2 Hoffman, Johan 2 Jansson, Johan 2 Jansson, Niclas 2 Johansson, August 2 Joodat, S. H. S. 2 Joshaghani, M. S. 2 Krużel, Filip 2 Lange, Michael 2 Li, Jiao 2 Lin, Guang 2 MacLachlan, Scott P. 2 Maddison, James R. 2 Manteuffel, Thomas A. 2 Maraldi, Mirko 2 Marsland, Stephen R. 2 McRae, Andrew T. T. 2 Mesenev, P. R. 2 Molari, Luisa 2 Nakshatrala, K. B. 2 Nazarov, Murtazo 2 Nhu, Vu Huu 2 Potschka, Andreas 2 Ptashnyk, Mariya 2 Ramabathiran, Amuthan Arunkumar 2 Rupp, Karl 2 Schmidt, Stephan 2 Seguin, Brian 2 Selberherr, Siegfried 2 Wachsmuth, Gerd 2 Weinbub, Josef 2 Zabaras, Nicholas J. 1 Adesokan, Bolaji James 1 Adriaenssens, Sigrid 1 Afanasiev, Michael 1 Amann, Dominic 1 Ambati, Vijaya R. 1 Arnold, Douglas Norman 1 Atroshchenko, Elena 1 Bader, Michael 1 Baiz, P. M. 1 Ballarini, Roberto 1 Banjai, Lehel 1 Baroli, Davide 1 Bartels, Sören 1 Bauer, Martin 1 Beex, Lars A. A. 1 Bell, Alexander 1 Bell, Nathan 1 Benn, James 1 Bercea, Gheorghe-Teodor 1 Bessac, Julie 1 Bielański, Jan 1 Bilionis, Ilias 1 Bin Zubair Syed, H. 1 Blechta, Jan ...and 245 more Authors
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### Referenced in 69 Serials

 33 SIAM Journal on Scientific Computing 19 Computer Methods in Applied Mechanics and Engineering 15 ACM Transactions on Mathematical Software 14 Journal of Computational Physics 10 Computers & Mathematics with Applications 5 Applied Mathematical Modelling 5 Computational Optimization and Applications 4 Computers and Fluids 4 Inverse Problems 4 Journal of Computational and Applied Mathematics 3 Numerische Mathematik 3 Journal of Scientific Computing 3 Optimization Methods & Software 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 BIT 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 2 Numerical Linear Algebra with Applications 2 Journal of Mathematical Fluid Mechanics 2 Computational Geosciences 2 International Journal of Numerical Analysis and Modeling 1 Acta Mechanica 1 International Journal of Engineering Science 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Calcolo 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Computational Mechanics 1 COMPEL 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Applied Mathematics 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Journal of Mathematical Imaging and Vision 1 Continuum Mechanics and Thermodynamics 1 Journal of Inverse and Ill-Posed Problems 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 Archives of Computational Methods in Engineering 1 Journal of Cosmology and Astroparticle Physics 1 Journal of Industrial and Management Optimization 1 Inverse Problems in Science and Engineering 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Algorithms 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Mathematical Control and Related Fields 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 Molecular Based Mathematical Biology 1 Simula SpringerBriefs on Computing 1 SpringerBriefs in Mathematics of Planet Earth 1 Applied and Numerical Harmonic Analysis 1 Computational and Mathematical Biophysics 1 Journal of Computational and Theoretical Transport
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### Referenced in 30 Fields

 142 Numerical analysis (65-XX) 51 Partial differential equations (35-XX) 46 Fluid mechanics (76-XX) 38 Mechanics of deformable solids (74-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 19 Computer science (68-XX) 18 Biology and other natural sciences (92-XX) 14 Optics, electromagnetic theory (78-XX) 12 Geophysics (86-XX) 9 Operations research, mathematical programming (90-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX)