Selected Publications

"Programming the Finite Element Method", Wiley, 2014Smith, Griffiths and Margetts

ParaFEM is an open source library for parallel finite element analysis that is provided with the text book Smith IM, Griffiths DV and Margetts L, "Programming the Finite Element Method", Wiley, 2014. This is the only engineering text book that introduces the reader to the basic concepts of the finite element method and then takes them on a journey where they learn how to write finite element programs to solve real world problems. Source code and libraries for around 70 example programs are provided. These are introduced step by step, building up the reader's expertise, from 1D and 2D problems that can be run on a desktop computer, to deceptively simple parallel programs that are capable of solving systems with up to a billion equations using tens of thousands of cores. Example miniapps are provided with the ParaFEM library.

The text book and software provide an excellent foundation for teaching and research. The software can be easily customized by the user for particular applications and interfaced with other third party tools and libraries. If you wish to explore the use of the book and the ParaFEM library (for teaching or research), please contact Lee Margetts.

University libraries typically have a mechanism that allows academics to purchase copies of text books for the library to offer on loan. If you are a University student, please talk to your supervisor about this. If you have used ParaFEM in any type of publication and would like to add it to the list here, please contact Lee Margetts. As this website receives many hits from people wanting to know about parallel finite element analysis, listing your publication here may contribute to both impact and citation rate.

Journal Papers

  • Shterenlikht A and Margetts L, "Three-dimensional cellular automata modelling of cleavage propagation across crystal boundaries in polycrystalline microstructures", Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, Volume 471, 2015
  • Arregui-Mena JD, Margetts L, Griffiths DV, Lever LM, Hall GN, Mummery PM, "Spatial variability in the coefficient of thermal expansion induces pre-service stresses in computer models of virgin Gilsocarbon bricks", Journal of Nuclear Materials, Volume 465, Pages 793-804, 2015
  • Evans Ll M, Margetts L, Casalegno V, Lever LM, Bushell J, Lowe T, Wallwork A, Young P, Lindemann A, Schmidt M, Mummery PM, "Transient thermal finite element analysis of CFC–Cu ITER monoblock using X-ray tomography data", Fusion Engineering and Design, Volume 100, Pages 100-111, 2015
  • Falkingham, PL, Bates, KT, Margetts, L and Manning, PL, "The Goldilocks effect: preservation bias in vertebrate track assemblages", Journal of the Royal Society Interface, Volume 8, Issue 61, Pages 1142-1154, 2011
  • Salimi B and Hayhurst DR, "Reduced numerical solution times for combined boundary-initial value problems using parallel computing", Engineering Computations, Volume 27, Issue 6, Pages 746-772, 2010
  • Falkingham PL, Bates KT, Margetts L and Manning PL, "Simulating sauropod manus-only trackway formation using finite-element analysis", Biology Letters, Volume 7, Issue 1, Pages 142-145, 2011
  • Falkingham PL, Margetts L, Smith IM et al.,"Reinterpretation of palmate and semi-palmate (webbed) fossil tracks; insights from finite element modelling", Palaeogeography Palaeoclimatology Palaeoecology, Volume 271, Issue 1-2, Pages 69-76, 2009
  • Chan KH, Zhang K, Li L and Liao X, "A new generation of convection-driven spherical dynamos using EBE finite element method", Physics of The Earth and Planetary Interiors, Volume 163, Issue 1-4, Pages 251-265, 2007
  • Smith IM and Margetts L, "The convergence variability of parallel iterative solvers", Engineering Computations, Volume 23, Issue 1-2, Pages 154-165, 2006
  • Chan KH, Ligang Lia and Xinhao Liao, "Modelling the core convection using finite element and finite difference methods", Physics of The Earth and Planetary Interiors, Volume 157, Issue 1-2, Pages 124-138, 2006