@Article{CSIAM-AM-3-1, 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 = {https://global-sci.com/article/82314/an-error-estimate-of-a-modified-method-of-characteristics-modeling-advective-diffusive-transport-in-randomly-heterogeneous-porous-media} }