Some simulations using the Finite Element Method

Just an assortment of scripts I've made to learn about the finite element method. Perpetually a work in progress.

Currently mesh files are created using external programs. For 2D the program used is Triangle. 3D Matlab/Octave mesh files are generated using Gmsh.

References:

Triangle

• https://www.cs.cmu.edu/~quake/triangle.html

GMSH

• https://gmsh.info/

Basic overview of the Finite Element Method

• https://en.wikipedia.org/wiki/Finite_element_method

• https://people.ucsc.edu/~imay1/_static/AM129_F20/chapters/chapt06/ch06_c_example.html

Finite Element Method and Linear Elasticity in 2D

• T. Jos, "The Finite Element Method for Partial Differential Equations," in Computational Physics, 2nd ed, CUP, 2013, ch 13, pp. 423 - 447.

Reference for elements and basis functions including 3D

• T.J. Chung, "Finite Element Interpolation Functions", in Computational Fluid Dynamics, 2nd ed, CUP, 2010, ch 9, pp. 262-308.

Notes on Linear Elasticity

• https://people.duke.edu/~hpgavin/StructuralDynamics/StructuralElements.pdf

• https://www.mit.edu/~nnakata/page/Teaching_files/GEOPHYS130/GEOPHYS130_notes_all.pdf

• https://www.math.uci.edu/~chenlong/226/elasticity.pdf