Seminars on Numerical Algorithms, Analyses, and Applications: A Tale of Two Dualities: A Posteriori Error Estimation for FEMs

Speaker：Shun Zhang (City University of Hong Kong)

Time：2026-5-13 10:00

Location：Conference Room S105 at Experiment Building at Haiyun Campus

Abstract:

We will discuss two types of dualities in a posteriori error estimates for finite element methods. The first is based on convex analysis and uses the duality gap to measure the energy error. The second uses adjoint PDEs to measure the error in a specific quantity of interest. Both methods are based on a simple idea: measuring computational error by solving the same problem from two different perspectives.