Literature

Some books on the finite element method

Literature on learning finite elements

English

• Dietrich Braess: Finite Elements : Theory, Fast Solvers, and Applications in Solid Mechanics, Cambridge

  • Exposition of the method and theoretical results with some not so standard applications

• Susanne C. Brenner, L. Ridgway Scott: The Mathematical Theory of Finite Element Methods, Springer, 2002

  • Excellent introduction into the theory of finite elements, including multigrid and Schwarz solvers. Recommended for mathematicians.

• Philippe G. Ciarlet: The Finite Element Method for Elliptic Problems, SIAM Classics in Applied Mathematics

  • Very abstract, but still the bible.

German

• Christian Großmann, Hans-Görg Roos: Numerik partieller Differentialgleichungen, Teubner

  • Probably the best exposition for students and researchers available.

• Hans Rudolf Schwarz: Methode der finiten Elemente, Teubner

  • Although some of the coding considerations are hopelessly outdated, the book is a good introduction to finite elements from a practical point of view.