Department of Mathematics
Louisiana State University
"Nonstandard Finite Element Methods"
Finite element methods are fundamental tools for scientific computing that have many proven successes. However, new challenges from novel applications continue to demand innovations in the finite element methodology. In this lecture I will present my recent work on several nonstandard finite element methods. The novelty of these methods originates from various aspects of the finite element methodology such as the variational formulation of the continuous problem, the construction of the finite element space and the fast solution of the discrete problem. I will discuss the ideas behind these methods and their relevance for structural mechanics, fluid mechanics, electromagnetics, materials science and optimization.
Shell Lectures Series are made possible through the generous support of the Shell Oil Company.