@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} }