Uncertainty quantification for random domains using periodic random variables

• Published in: Numerische Mathematik Vol. 156; no. 1; pp. 273 - 317
• Main Authors: Hakula, Harri, Harbrecht, Helmut, Kaarnioja, Vesa, Kuo, Frances Y., Sloan, Ian H.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2024; Springer Nature B.V
• Subjects: Domains; Error analysis; Fields (mathematics); Independent variables; Mathematical and Computational Engineering; Mathematical and Computational Physics; Mathematical Methods in Physics; Mathematics; Mathematics and Statistics; Numerical Analysis; Numerical and Computational Physics; Parameterization; Periodic functions; Random variables; Simulation; Stochastic processes; Theoretical; Uncertainty; 65D30; 35R60; 65D32

We consider uncertainty quantification for the Poisson problem subject to domain uncertainty. For the stochastic parameterization of the random domain, we use the model recently introduced by Kaarnioja et al. (SIAM J. Numer. Anal., 2020) in which a countably infinite number of independent random var...