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Volume 3, Issue 1
An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media

Xiangcheng Zheng & Hong Wang

DOI: 10.4208/csiam-am.2020-0216

CSIAM Trans. Appl. Math., 3 (2022), pp. 172-190.

Published online: 2022-03

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  • 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.

  • Keywords

Uncertainty quantification, MMOC, advective-diffusive transport.

  • AMS Subject Headings

65M25, 65M60, 65Z05, 76M10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CSIAM-AM-3-172, author = {Zheng , Xiangcheng and Wang , Hong}, title = {An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media}, journal = {CSIAM Transactions on Applied Mathematics}, year = {2022}, volume = {3}, number = {1}, pages = {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.

}, issn = {2708-0579}, doi = {https://doi.org/10.4208/csiam-am.2020-0216}, url = {http://global-sci.org/intro/article_detail/csiam-am/20293.html} }
TY - JOUR T1 - An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media AU - Zheng , Xiangcheng AU - Wang , Hong JO - CSIAM Transactions on Applied Mathematics VL - 1 SP - 172 EP - 190 PY - 2022 DA - 2022/03 SN - 3 DO - http://doi.org/10.4208/csiam-am.2020-0216 UR - https://global-sci.org/intro/article_detail/csiam-am/20293.html KW - Uncertainty quantification, MMOC, advective-diffusive transport. AB -

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.

Zheng , Xiangcheng and Wang , Hong. (2022). An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media. CSIAM Transactions on Applied Mathematics. 3 (1). 172-190. doi:10.4208/csiam-am.2020-0216
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