@Article{NMTMA-7-435, author = {Zhaohui Wang, Zhilin Li and Sharon Lubkin}, title = {A Robin-Robin Domain Decomposition Method for a Stokes-Darcy Structure Interaction with a Locally Modified Mesh}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2014}, volume = {7}, number = {4}, pages = {435--446}, abstract = {

A new numerical method based on locally modified Cartesian meshes is proposed for solving a coupled system of a fluid flow and a porous media flow. The fluid flow is modeled by the Stokes equations while the porous media flow is modeled by Darcy's law. The method is based on a Robin-Robin domain decomposition method with a Cartesian mesh with local modifications near the interface. Some computational examples are presented and discussed.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2014.1305si}, url = {http://global-sci.org/intro/article_detail/nmtma/5883.html} }