Djurdjevac, A, Elliott, CM, Kornhuber, R et al. (1 more author) (2018) Evolving surface finite element methods for random advection-diffusion equations. SIAM/ASA Journal on Uncertainty Quantification, 6 (4). pp. 1656-1684. ISSN 2166-2525
Abstract
In this paper, we introduce and analyse a surface finite element discretization of advection-diffusion equations with uncertain coefficients on evolving hypersurfaces. After stating unique solvability of the resulting semi-discrete problem, we prove optimal error bounds for the semi-discrete solution and Monte Carlo samplings of its expectation in appropriate Bochner spaces. Our theoretical findings are illustrated by numerical experiments in two and three space dimensions.
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Copyright, Publisher and Additional Information: | This is an author produced version of a paper published in SIAM/ASA Journal on Uncertainty Quantification. Uploaded in accordance with the publisher's self-archiving policy. | ||||
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Institution: | The University of Leeds | ||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) | ||||
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Depositing User: | Symplectic Publications | ||||
Date Deposited: | 16 Jul 2018 10:19 | ||||
Last Modified: | 15 Jan 2019 14:50 | ||||
Status: | Published | ||||
Publisher: | Society for Industrial and Applied Mathematics | ||||
Identification Number: | https://doi.org/10.1137/17M1149547 | ||||
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