FEA-BC, Basis Functions, and Numerics

We begin this course with a discussion about boundary conditions. We discuss a pure Dirichlet problem using an example of a linear elastic bar. We then move on to developing higher-order polynomial basis functions for Lagrange polynomials and discuss some properties of Lagrange polynomials. We then derive the matrix-vector equations using quadratic basis functions. Finally, we discuss numerical integration and Gauss quadrature rules which help in solving the matrix-vector equations numerically.
This course was developed by Prof. Krishna Garikipati and Dr. Gregory Teichert, at the University of Michigan in partnership with Ansys.

A course completion badge allows you to showcase your success. We partner with the Credly Acclaim platform, and digital badges can be used in email signatures, digital resumes and social media sites. The digital image contains verified metadata that describes your participation in our course and the topics and skills that were covered. This badge is for successfully completing the FEA - Boundary Conditions, Basis Functions, and Numerics course.