An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media
Year: 2022
Author: Xiangcheng Zheng, Hong Wang
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 1 : pp. 172–190
Abstract
We analyze a stochastic modified method of characteristics (MMOC) modeling advective-diffusive transport in randomly heterogeneous porous media. Under the log-normal assumption of the porous media and the finite-dimensional noise assumption that leads to unbounded diffusivity, we prove an optimal-order error estimate for the stochastic MMOC scheme. Numerical experiments are presented to substantiate the numerical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.2020-0216
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 1 : pp. 172–190
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Uncertainty quantification MMOC advective-diffusive transport.
Author Details
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A Time-Fractional Mean-Field Control Modeling Subdiffusive Advective Transport
Zheng, Xiangcheng
Yang, Zhiwei
Li, Wuchen
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SIAM Journal on Scientific Computing, Vol. 45 (2023), Iss. 6 P.B884
https://doi.org/10.1137/22M1527726 [Citations: 0]