How to cite us¶

If you use FEniCS in your research, the developers would be grateful if you would cite the relevant publications. FEniCS is organized as a collection of components, so to give proper credit to the developers of FEniCS, please cite the indicated references for each relevant component.

A more extensive bibliography can be found at the bottom of this page. The bibliography is also available in BibTeX format.

FEniCS¶

A. Logg, K.-A. Mardal, G. N. Wells et al. (2012). Automated Solution of Differential Equations by the Finite Element Method, Springer. [doi:10.1007/978-3-642-23099-8]

DOLFIN¶

A. Logg and G. N. Wells (2010). DOLFIN: Automated Finite Element Computing, ACM Transactions on Mathematical Software, 37(2). [doi:10.1145/1731022.1731030] [arXiv:1103.6248]
A. Logg, G. N. Wells and J. Hake (2012). DOLFIN: a C++/Python Finite Element Library, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 10.

FFC¶

R. C. Kirby and A. Logg (2006). A Compiler for Variational Forms, ACM Transactions on Mathematical Software, 32(3). [doi:10.1145/1163641.1163644] [arXiv:1112.0402]
A. Logg, K. B. Ølgaard, M. E. Rognes and G. N. Wells (2012). FFC: the FEniCS Form Compiler, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 11.
K. B. Ølgaard and G. N. Wells (2010). Optimisations for Quadrature Representations of Finite Element Tensors Through Automated Code Generation, ACM Transactions on Mathematical Software, 37. [doi:10.1145/1644001.1644009] [arXiv:1104.0199]

UFL¶

M. S. Alnæs, A. Logg, K. B. Ølgaard, M. E. Rognes, G. N. Wells (2013). Unified Form Language: A domain-specific language for weak formulations of partial differential equations, ACM Transactions on Mathematical Software, To Appear. [arXiv:1211.4047]
M. S. Alnæs (2012). UFL: a Finite Element Form Language, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 17.

FIAT¶

R. C. Kirby (2004). Algorithm 839: FIAT, a New Paradigm for Computing Finite Element Basis Functions, ACM Transactions on Mathematical Software, 30(4), pp. 502-516. [doi:10.1145/1039813.1039820]
R. C. Kirby (2012). FIAT: Numerical Construction of Finite Element Basis Functions,, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 13.

UFC¶

M. S. Alnæs, A. Logg, K.-A. Mardal, O. Skavhaug and H. P. Langtangen (2009). Unified Framework for Finite Element Assembly, International Journal of Computational Science and Engineering, 4(4), pp. 231-244. [doi:10.1504/IJCSE.2009.029160]
M. S. Alnæs, A. Logg and K.-A. Mardal (2012). UFC: a Finite Element Code Generation Interface, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 16.

SyFi¶

M. S. Alnæs and K.-A. Mardal (2010). On the Efficiency of Symbolic Computations Combined With Code Generation for Finite Element Methods, ACM Transactions on Mathematical Software, 37(1). [doi:10.1145/1644001.1644007]
M. S. Alnæs and K.-A. Mardal (2010). SyFi and SFC: Symbolic Finite Elements and Form Compilation, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 15.

Unicorn¶

J. Hoffman, J. Jansson, R. V. d. Abreu, C. Degirmenci, N. Jansson, K. Müller, M. Nazarov and J. H. Spühler (2012). Unicorn: Parallel Adaptive Finite Element Simulation of Turbulent Flow and Fluid-Structure Interaction for Deforming Domains and Complex Geometry, Computer and Fluids, in press.
J. Hoffman, J. Jansson, C. Degirmenci, N. Jansson and M. Nazarov (2012). Unicorn: a Unified Continuum Mechanics Solver, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 18.
N. Jansson, J. Jansson and J. Hoffman (2012). Framework for Massively Parallel Adaptive Finite Element Computational Fluid Dynamics on Tetrahedral Meshes, SIAM Journal on Scientific Computing, 34(1), pp. C24-C41.

Bibliography¶

Articles in International Journals¶

R. C. Kirby (2004). Algorithm 839: FIAT, a New Paradigm for Computing Finite Element Basis Functions, ACM Transactions on Mathematical Software, 30(4), pp. 502-516, [doi:10.1145/1039813.1039820].
R. C. Kirby, M. G. Knepley, A. Logg and L. R. Scott (2005). Optimizing the Evaluation of Finite Element Matrices, SIAM Journal on Scientific Computing, 27(3), pp. 741-758, [doi:10.1137/040607824].
R. C. Kirby and A. Logg (2006). A Compiler for Variational Forms, ACM Transactions on Mathematical Software, 32(3), [doi:10.1145/1163641.1163644], [arXiv:1112.0402].
R. C. Kirby, A. Logg, L. R. Scott and A. R. Terrel (2006). Topological Optimization of the Evaluation of Finite Element Matrices, SIAM Journal on Scientific Computing, 28(1), pp. 224-240, [doi:10.1137/050635547].
R. C. Kirby and L. R. Scott (2007). Geometric Optimization of the Evaluation of Finite Element Matrices, SIAM Journal on Scientific Computing, 29(2), pp. 827-841.
R. C. Kirby and A. Logg (2007). Efficient Compilation of a Class of Variational Forms, ACM Transactions on Mathematical Software, 33(3), [doi:10.1145/1268769.1268771].
A. Logg (2007). Automating the Finite Element Method, Archives of Computational Methods in Engineering, 14(2), pp. 93-138, [doi:10.1007/s11831-007-9003-9], [arXiv:1112.0433].
K. B. Ølgaard, A. Logg and G. N. Wells (2008). Automated Code Generation for Discontinuous Galerkin Methods, SIAM Journal on Scientific Computing, 31(2), pp. 849-864, [doi:10.1137/070710032], [arXiv:1104.0628].
R. C. Kirby and A. Logg (2008). Benchmarking Domain-Specific Compiler Optimizations for Variational Forms, ACM Transactions on Mathematical Software, 35(2), pp. 1-18, [doi:10.1145/1377612.1377614].
A. Logg (2009). Efficient Representation of Computational Meshes, International Journal of Computational Science and Engineering, 4(4), pp. 283-295, [doi:10.1504/IJCSE.2009.029164].
M. E. Rognes, R. C. Kirby and A. Logg (2009). Efficient Assembly of H(div) and H(curl) Conforming Finite Elements, SIAM Journal on Scientific Computing, 31(6), pp. 4130-4151, [doi:10.1137/08073901X].
M. S. Alnæs, A. Logg, K.-A. Mardal, O. Skavhaug and H. P. Langtangen (2009). Unified Framework for Finite Element Assembly, International Journal of Computational Science and Engineering, 4(4), pp. 231-244, [doi:10.1504/IJCSE.2009.029160].
M. S. Alnæs and K.-A. Mardal (2010). On the Efficiency of Symbolic Computations Combined With Code Generation for Finite Element Methods, ACM Transactions on Mathematical Software, 37(1), [doi:10.1145/1644001.1644007].
A. Logg and G. N. Wells (2010). DOLFIN: Automated Finite Element Computing, ACM Transactions on Mathematical Software, 37(2), [doi:10.1145/1731022.1731030], [arXiv:1103.6248].
K. B. Ølgaard and G. N. Wells (2010). Optimisations for Quadrature Representations of Finite Element Tensors Through Automated Code Generation, ACM Transactions on Mathematical Software, 37, [doi:10.1145/1644001.1644009], [arXiv:1104.0199].
J. Hoffman, J. Jansson, R. V. d. Abreu, C. Degirmenci, N. Jansson, K. Müller, M. Nazarov and J. H. Spühler (2012). Unicorn: Parallel Adaptive Finite Element Simulation of Turbulent Flow and Fluid-Structure Interaction for Deforming Domains and Complex Geometry, Computer and Fluids, in press.
N. Jansson, J. Jansson and J. Hoffman (2012). Framework for Massively Parallel Adaptive Finite Element Computational Fluid Dynamics on Tetrahedral Meshes, SIAM Journal on Scientific Computing, 34(1), pp. C24-C41.
M. S. Alnæs, A. Logg, K. B. Ølgaard, M. E. Rognes and G. N. Wells (2013). Unified Form Language: A domain-specific language for weak formulations of partial differential equations, ACM Transactions on Mathematical Software, To appear, [arXiv:1211.4047].

Books¶

A. Logg, K.-A. Mardal, G. N. Wells et al. (2012). Automated Solution of Differential Equations by the Finite Element Method, Springer, [doi:10.1007/978-3-642-23099-8].

Chapters in Books¶

A. Logg, G. N. Wells and J. Hake (2012). DOLFIN: a C++/Python Finite Element Library, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 10.
A. Logg, K. B. Ølgaard, M. E. Rognes and G. N. Wells (2012). FFC: the FEniCS Form Compiler, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 11.
R. C. Kirby (2012). FIAT: Numerical Construction of Finite Element Basis Functions,, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 13.
M. S. Alnæs and K.-A. Mardal (2012). SyFi and SFC: Symbolic Finite Elements and Form Compilation, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 15.
M. S. Alnæs, A. Logg and K.-A. Mardal (2012). UFC: a Finite Element Code Generation Interface, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 16.
M. S. Alnæs (2012). UFL: a Finite Element Form Language, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 17.
J. Hoffman, J. Jansson, C. Degirmenci, N. Jansson and M. Nazarov (2012). Unicorn: a Unified Continuum Mechanics Solver, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 18.
J. Hoffman, J. Jansson, N. Jansson, C. Johnson and R. V. d. Abreu (2012). Turbulent Flow and Fluid–structure Interaction, Automated Solution of Differential Equations by the Finite Element Method, Volume 84 of Lecture Notes in Computational Science and Engineering, Springer, Chapter 28.