A posteriori error estimation for the finite element method

Speaker: 

Kenny Lau

Affiliation: 

UNSW Mathematics and Statistics

Date: 

Fri, 13/10/2017 - 3:00pm

Venue: 

OMB-G31, Old Main Building

Abstract: 

While a priori error estimates tell us about the convergence rate of the numerical method, they do not give a quantitative estimate on the size of the error, which a posteriori error estimates provide. This is essential in evaluating the accuracy of a computed solution with respect to a predefined tolerance level. The a posteriori error estimate allows for adaptive hp-refinement of the numerical method and has a low computational cost since it is computed locally. This talk will present an a posteriori error estimator for the finite element solution to a nonlinear elliptic problem.

Kenny is an Applied Mathematics Honours student working with Thanh Tran.