MATH 5520: Finite Element Methods 1, Fall 2017

Tuesday and Thursday, 2:00pm - 3:15pm, MONT 101
Instructor: Dmitriy Leykekhman

Instructor: Dmitriy Leykekhman

Office Hour: 11:00 a.m.-12:00 p.m. Tuesday, at MONT 328

Prerequisites: Basic Linear Algebra and basic knowledge in MATLAB.

Textbook: "The Finite Element Method: Theory, Implementation, and Applications" by Mats G. Larson and Fredrik Bengzon.

Course workload: Homework will be assigned roughly once a week, mostly with MATLAB programming assignments and one final take-home project.

Credits: 3 credit hours.

Grading Policy : The final grade will be determined from the homework assignments and the final project.
You may organize study groups to discuss material and assignments, but you must write your own solutions.

Scope: This course is appropriate for graduate students majoring in mathematics as well as mathematically inclined graduate engineering students. I will try to make the course self contained. Familiarity with basic real analysis, partial differential equations, and functional analytical tools for Hilbert spaces is required. Basic knowledge of MATLAB is required.

Topics covered:
Finite Element Method in 1D
Piecewise Polynomial Approximation in 2D
Finite Element Method in 2D.
Time Dependent Problems.
Abstract Finite Element Analysis.