The effect of numerical integration on the finite element approximation

CCMA PDEs and Numerical Methods Seminar Series

Meeting Details

For more information about this meeting, contact Kris Jenssen, Yuxi Zheng.

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

Date: 10/26/2009

Time: 3:35pm - 4:25pm