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Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
- Publication Year :
- 2024
-
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.
- Subjects :
- Mathematics - Numerical Analysis
65F10, 65N22, 65N55, 76S05
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2402.06857
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s10596-020-09979-w