1. H. Elman, D. Silvester & A. Wathen, Finite Elements and Fast Iterative Solvers. Second edition. OUP, 2014. [Mainly Chapters 1 and 3].
  2. or

  3. H. Elman, D. Silvester & A. Wathen, Finite Elements and Fast Iterative Solvers. OUP, 2005. [Mainly Chapters 1 and 5].
Further Reading:
  1. S.C. Brenner & L.R. Scott, The Mathematical Theory of Finite Element Methods. Springer, 2nd edition, 2002. [Chapters 0,1,2,3; Chapter 4: Secs. 4.1-4.4, Chapter 5: Secs. 5.1-5.7].
  2. C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method. CUP, 1990. [Chapters 1-4; Chapter 8:Secs. 8.1-8.4.2; Chapter 9: Secs. 9.1-9.5].
  3. Typed lecture notes covering a previous version of the entire course (and more) are available from the course material webpage:
    Endre Süli, Finite Element Methods for Partial Differential Equations. Mathematical Institute, University of Oxford, 2011
  4. Some of the introductory material is covered in:
    Endre Süli & David Mayers, An Introduction to Numerical Analysis,CUP 2003; Second Printing 2006. [Chapter 11 and in particular Chapter 14].
Last modified: Tuesday, 14 March 2023, 7:31 PM