Efficient discretization techniques of shape uncertainty problems

Helmut Harbrecht (University of Basel)

May 12. 2022, 11:20 — 12:10

This talk is concerned with the numerical solution of partial differential equations on random domains. On the one hand, we employ multilevel quadrature techniques for the stochastic variable in order to speed-up the computations. On the other hand, we discuss the use of Euler and Lagrange coordinates for the physical variable. This choice is reflected by the numerical solver for particular realizations of the underlying boundary value problem. In particular, we consider boundary element methods, finite element methods, and the coupling of finite element and boundary element methods.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Computational Uncertainty Quantification: Mathematical Foundations, Methodology & Data (Thematic Programme)
Clemens Heitzinger (TU Vienna)
Fabio Nobile (EPFL Lausanne)
Robert Scheichl (U Heidelberg)
Christoph Schwab (ETH Zürich)
Sara van de Geer (ETH Zürich)
Karen Willcox (U of Texas, Austin)