CEE 696 Advanced Modeling in Groundwater Engineering

References

• Hans Petter Langtangen. 2014. Introduction to Finite Element Methods

• Hughes. 2000. The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Dover Publications

• Zienkiewicz, Taylor and Zhu. 2013. The Finite Element Method: Its Basis and Fundamentals (7th Ed.), Butterworth-Heinemann

• Leveque. 1992. Numerical Methods for Conservation Laws, Springer Basel AG

FEM

• DefElement: an encyclopedia of finite element definitions

FEniCS

• We will use FEniCS in the second part of our class

• Automated Solution of Differential Equations by the Finite Element Method: The FEniCS Book

• FEniCS

Other Software

• We review other software toolkits:

• deal.II

• MFEM

• MOOSE

• PISALE (ALE-AMR)

Linear Algebra

• Petersen and Pedersen, The Matrix Cookbook

• Trefethen and Bau, Numerical Linear Algebra, SIAM, 1997