The effect of numerical integration on the finite element approximation
Speaker: Hengguang Li, Syracuse University
Abstract: It is well known that the discretization of a finite element method results in a linear system of equations, in which the matrix and the load vector are usually computed by numerical integration. The inexact integration may lead to a different linear system, and consequently, produce a different finite element solution. In this talk, we will first discuss the existing results on the impact of quadrature rules on the finite element approximation in the energy norm. Then, a sharp estimate on the convergence rate of the finite element approximation with numerical integration for linear functionals will be presented.
Room Reservation Information
Room Number: 216 McAllister
Time: 3:35pm - 4:25pm