Solving Diffusion Equations with Rough Coefficients in Rough Grids

@article{Shashkov1996SolvingDE,
  title={Solving Diffusion Equations with Rough Coefficients in Rough Grids},
  author={Mikhail J. Shashkov and Stanly L. Steinberg},
  journal={Journal of Computational Physics},
  year={1996},
  volume={129},
  pages={383-405}
}
A finite-difference algorithm for the numerical solution of diffusion problems in strongly heterogeneous and nonisotropic media is constructed for logically rectangular grids. The performance of this algorithm is comparable to other algorithms for problems with smooth coefficients and regular grids, and it is superior for problems with rough coefficients and/or skewed grids. The algorithm is derived using thesupport-operators method,which constructs discrete analogs of the divergence and flux… 

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