Introduction

This directory contains references for learning the finite element method and examples of applying sp.fem Python library.

References

What follows is a non-comprehensive list of books on finite elements that the author has found useful.

  • Mats G. Larson, Fredrik Bengzon. The Finite Element Method: Theory, Implementation, and Applications.
  • Dietrich Braess. Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics.
  • Brenner, Susanne, Scott, Ridgway. The Mathematical Theory of Finite Element Methods.
  • Philippe G. Ciarlet. The Finite Element Method for Elliptic Problems.
  • Claes Johnson. Numerical Solution of Partial Differential Equations by the Finite Element Method.
  • Daniele Boffi, Franco Brezzi, Michael Fortin. Mixed Finite Element Methods and Applications.

Examples

The other files in the directory contain examples for using the library. In the future I hope to write an introduction text to the finite element method, computational approach, using the library as a computational tool. Currently I do not have the extra time so the examples have to suffice.