Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
<|reference_start|>Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids: In this work, an efficient blackbox-type multigrid method is proposed for solving multipoint flux approximations of the Darcy problem on logically rectangular grids. The approach is based on a cell-centered multigrid algorithm, which combines a piecewise constant interpolation and the restriction operator by Wesseling/Khalil with a line-wise relaxation procedure. A local Fourier analysis is performed for the case of a Cartesian uniform grid. The method shows a robust convergence for different full tensor coefficient problems and several rough quadrilateral grids.<|reference_end|>
@article{arrarás2024multigrid,
    title={Multigrid solvers for multipoint flux approximations of the Darcy
  problem on rough quadrilateral grids},
    author={Andr'es Arrar'as, Francisco J. Gaspar, Laura Portero, Carmen Rodrigo},
    journal={arXiv preprint arXiv:2402.06857},
    year={2024},
    doi={10.1007/s10596-020-09979-w},
    archivePrefix={arXiv},
    eprint={2402.06857},
    primaryClass={math.NA cs.NA}
}