Title:  L_2 and pointwise a posteriori error estimates for FEM for elliptic PDE on surfaces

Abstract:  Surface Finite Element Methods (SFEM) are popular numeric methods for solving PDE. A posteriori error estimators are computable measures of the error and are used to implement adaptive mesh refinement. In this talk we will introduce the basics of finite element methods and a posteriori estimates. We will end with an example of an adaptive finite element method based on point-wise a posteriori error estimate solving the Laplace-Beltrami equation over a surface.