Geometry Working Seminar

Adam Morgan, Department of Applied Mathematics, University of Waterloo

"Geometric Aspects of Finite Element Analysis, Part 1: Lagrange Elements"

The finite element method for the numerical solution of partial differential equations is a critical tool in modern scientific computing. Recently, theoretical developments have shown that geometric and homological techniques ( especially the study of discrete de Rham complexes) are of great importance in finite element analysis. In this talk, we will begin to explore these developments using the simple case of the classical Lagrange finite elements as a guiding example. This will prepare us for the study of more complicated finite element spaces in Part 2.

MC 5479