Isogeometric Analysis of Partial Differential Equations on Random Domains

You are cordially invited to attend the PhD Dissertation Defence of Wei Huang on Thursday 5 September 2024 at 14:00 in room D1.13.

Abstract:
We examine the numerical solution of partial differential equations on random domains using isogeometric analysis, wherein the primary focus is on uncertainty quantification; specifically, quantities of interest, i.e., expectation and correlation, are considered for two types of partial differential equations on complex geometries. First, we propose the efficient computation of the space-time correlation using an online singular value decomposition for the diffusion equation. In the second case, the p-multilevel Monte Carlo method is employed to efficiently compute quantities of interest for the Helmholtz equation.

Dissertation Committee:
- Prof. Michael Multerer, Università della Svizzera italiana, Switzerland (Research Advisor)
- Prof. Piotr Krzysztof Didyk, Università della Svizzera italiana, Switzerland (Internal Member)
- Prof. Kai Hormann, Università della Svizzera italiana, Switzerland (Internal Member)
- Prof. Jürgen Dölz, University of Bonn (External Member)
- Prof. Laura Scarabosio, Radboud University (External Member)