Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
Numerical Analysis
2024-02-13 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2402.06857,
title = {Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids},
author = {Andrés Arrarás and Francisco J. Gaspar and Laura Portero and Carmen Rodrigo},
journal= {arXiv preprint arXiv:2402.06857},
year = {2024}
}