.. Note! This file should not be edited manually. It should .. instead be generated from within source/_static/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. E. Rognes, D. A. Ham, C. J. Cotter and A. T. T. McRae (2013)**. *Automating the solution of PDEs on the sphere and other manifolds in FEniCS 1.2*, Geoscientific Model Development, 6, pp. 2099-2119, [`doi:10.5194/gmd-6-2099-2013 `_]. * **M. S. Alnæs, A. Logg, K. B. Ølgaard, M. E. Rognes and G. N. Wells (2014)**. *Unified Form Language: A domain-specific language for weak formulations of partial differential equations*, ACM Transactions on Mathematical Software, 40(2), [`doi:10.1145/2566630 `_], [`arXiv:1211.4047 `_]. * **M. S. Alnæs, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg, C. Richardson, J. Ring, M. E. Rognes and G. N. Wells (2015)**. *The FEniCS Project Version 1.5*, Archive of Numerical Software, 3(100), [`doi:10.11588/ans.2015.100.20553 `_]. 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.