Classes
Fall 2015: Introduction to Numerical Analysis, Part 1 (MATH 5630/6630)
Syllabus: MATH 5630/6630
Venue: To be determined
Office Hours: Tuesdays and Thursdays, 11:00am-12:00pm and 3:30pm-4:30pm
Homework: N/A
Fall 2014: Computational Tools for Finite Elements
Instructors: John Burkardt, Hans-Werner van Wyk
This course will explore the use of sophisticated computational tools that enable the finite element method (FEM) for the definition, solution, and analysis of partial differential equations (PDE's). The course will outline the basic theory of the fnite element method, and then rapidly move to an introduction to the Python programming language, the Gmsh, Triangle and Mesh2D meshing programs, and the FEniCS package. Mastery of these tools will be demonstrated by application to standard test problems for elliptic
PDE's. Students enrolling in this course are expected to carry out extensive study and independent investigations on their own.
November 2014: Workshop - The Analysis of Finite Element Methods
This short workshop is design to familiarize students with the theoretical foundations of the finite element method. We discuss: best approximation, weak derivatives, Sobolev Spaces, Cea's Lemma.