Finite Element Methods 1 (NMNV405) — Practicals (Winter Semester 2021/2022)
This class will provide exercises to explore the finite element method.
Practicals
Wednesday 15:40 – 17:10, K3 Sokolovská 83 Karlín
Notes on Guassian Quadrature
The following journal article has information on the choice of points and weights for Guassian quadrature on a triangle:
Dunavant, D.A. (1985), High degree efficient symmetrical Gaussian quadrature rules for the triangle. Int. J. Numer. Meth. Engng., 21: 1129-1148. https://doi.org/10.1002/nme.1620210612
Homework
There will be four homeworks during the course of the year. Obtaining credit for this course will involve obtaining at least 50% of the marks available from these homeworks.
Example FEM Code
An example MATLAB finite element code which solves the problem
-Δu = f,
on the unit square [0, 1]2 with forcing function
f = 2π2 sin πx sin πy,
and homogeneous Dirichlet boundary conditions is available in the following zip file:
The main source is contained in fem.m.