A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals

@article{Tlupova2021ADD,
  title={A domain decomposition solution of the Stokes-Darcy system in 3D based on boundary integrals},
  author={Svetlana Tlupova},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.10749}
}
  • Svetlana Tlupova
  • Published 20 October 2021
  • Mathematics, Computer Science, Physics
  • ArXiv
A framework is developed for a robust and highly accurate numerical solution of the coupled Stokes-Darcy system in three dimensions. The domain decomposition method is based on a Dirichlet-Neumann type splitting of the interface conditions and solving separate Stokes and Darcy problems iteratively. Second kind boundary integral equations are formulated for each problem. The integral equations use a smoothing of the kernels that achieves high accuracy on the boundary, and a straightforward… 

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