Articles in International Journals

  1. Algorithm 839: FIAT, a New Paradigm for Computing Finite Element Basis Functions
    R. C. Kirby
    ACM Transactions on Mathematical Software, vol. 30, pp. 502—516, 2004, [DOI]
  2. Optimizing the Evaluation of Finite Element Matrices
    R. C. Kirby, M. G. Knepley, A. Logg and L. R. Scott
    SIAM Journal on Scientific Computing, vol. 27, pp. 741—758, 2005, [DOI]
  3. A Compiler for Variational Forms
    R. C. Kirby and A. Logg
    ACM Transactions on Mathematical Software, vol. 32, 2006, [DOI], [arXiv]
  4. Topological Optimization of the Evaluation of Finite Element Matrices
    R. C. Kirby, A. Logg, L. R. Scott and A. R. Terrel
    SIAM Journal on Scientific Computing, vol. 28, pp. 224—240, 2006, [DOI]
  5. Geometric Optimization of the Evaluation of Finite Element Matrices
    R. C. Kirby and L. R. Scott
    SIAM Journal on Scientific Computing, vol. 29, pp. 827—841, 2007
  6. Efficient Compilation of a Class of Variational Forms
    R. C. Kirby and A. Logg
    ACM Transactions on Mathematical Software, vol. 33, 2007, [DOI]
  7. Automating the Finite Element Method
    A. Logg
    Archives of Computational Methods in Engineering, vol. 14, pp. 93—138, 2007, [DOI], [arXiv]
  8. Automated Code Generation for Discontinuous Galerkin Methods
    K. B. Ølgaard, A. Logg and G. N. Wells
    SIAM Journal on Scientific Computing, vol. 31, pp. 849—864, 2008, [DOI], [arXiv]
  9. Benchmarking Domain-Specific Compiler Optimizations for Variational Forms
    R. C. Kirby and A. Logg
    ACM Transactions on Mathematical Software, vol. 35, pp. 1—18, 2008, [DOI]
  10. Efficient Representation of Computational Meshes
    A. Logg
    International Journal of Computational Science and Engineering, vol. 4, pp. 283—295, 2009, [DOI]
  11. Efficient Assembly of H(div) and H(curl) Conforming Finite Elements
    M. E. Rognes, R. C. Kirby and A. Logg
    SIAM Journal on Scientific Computing, vol. 31, pp. 4130—4151, 2009, [DOI]
  12. Unified Framework for Finite Element Assembly
    M. S. Alnaes, A. Logg, K.-A. Mardal, O. Skavhaug and H. P. Langtangen
    International Journal of Computational Science and Engineering, vol. 4, pp. 231—244, 2009, [DOI]
  13. On the Efficiency of Symbolic Computations Combined With Code Generation for Finite Element Methods
    M. S. Alnaes and K.-A. Mardal
    ACM Transactions on Mathematical Software, vol. 37, 2010, [DOI]
  14. DOLFIN: Automated Finite Element Computing
    A. Logg and G. N. Wells
    ACM Transactions on Mathematical Software, vol. 37, 2010, [DOI], [arXiv]
  15. Optimisations for Quadrature Representations of Finite Element Tensors Through Automated Code Generation
    K. B. Ølgaard and G. N. Wells
    ACM Transactions on Mathematical Software, vol. 37, 2010, [DOI], [arXiv]
  16. Unicorn: Parallel Adaptive Finite Element Simulation of Turbulent Flow and Fluid-Structure Interaction for Deforming Domains and Complex Geometry
    J. Hoffman, J. Jansson, R. V. d. Abreu, C. Degirmenci, N. Jansson, K. Müller, M. Nazarov and J. H. Spühler
    Computer and Fluids, vol. in press, 2012
  17. Framework for Massively Parallel Adaptive Finite Element Computational Fluid Dynamics on Tetrahedral Meshes
    N. Jansson, J. Jansson and J. Hoffman
    SIAM Journal on Scientific Computing, vol. 34, pp. C24—C41, 2012
  18. Automating the solution of PDEs on the sphere and other manifolds in FEniCS 1.2
    M. E. Rognes, D. A. Ham, C. J. Cotter and A. T. T. McRae
    Geoscientific Model Development, vol. 6, pp. 2099—2119, 2013, [DOI]
  19. Unified Form Language: A domain-specific language for weak formulations of partial differential equations
    M. S. Alnaes, A. Logg, K. B. Ølgaard, M. E. Rognes and G. N. Wells
    ACM Transactions on Mathematical Software, vol. 40, 2014, [DOI], [arXiv]
  20. The FEniCS Project Version 1.5
    M. S. Alnaes, J. Blechta, J. Hake, A. Johansson, B. Kehlet, A. Logg, C. Richardson, J. Ring, M. E. Rognes and G. N. Wells
    Archive of Numerical Software, vol. 3, 2015, [DOI]

Books

  1. Automated Solution of Differential Equations by the Finite Element Method
    A. Logg, K.-A. Mardal, G. N. Wells et al.
    Springer, 2012

Chapters in Books

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