Statistical Finite Element Method

This lecture covers the Statistical Finite Element Method (statFEM) as a synthesis of data and FEM models, focusing on the construction of a prior measure, dealing with model misspecification, and combining sensor data with FEM models. It discusses the statistical construction of FEM, finite element simulation, the requirement for statistical construction, prior measure analysis, analysis of the prior, main results, combining FEM with data, a case study on waves in a tub, ongoing work on complex observation operators and sampling the prior, conditioning procedure for time-dependent problems, results, and conclusions on the synthesis of data and FEM models.