DMS Applied Mathematics Seminar

Speaker: Ludmil Zikatanov, Pennsylvania State University

Title: A Posteriori Error Estimates in Finite Element Method by Preconditioning

Abstract: We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods to obtain reliable and efficient error estimators. As a simple example, we recover the classical residual error estimators for the second order elliptic equations as well as present some new estimators for systems of PDEs.

This is a joint work with Yuwen Li (Penn State).