An AMG saddle point preconditioner with application to mixed Poisson problems on adaptive quad/cube meshes
Numerical Analysis
2024-12-20 v1 Numerical Analysis
Abstract
We investigate various block preconditioners for a low-order Raviart-Thomas discretization of the mixed Poisson problem on adaptive quadrilateral meshes. In addition to standard diagonal and Schur complement preconditioners, we present a dedicated AMG solver for saddle point problems (SPAMG). A key element is a stabilized prolongation operator that couples the flux and scalar components. Our numerical experiments in 2D and 3D show that the SPAMG preconditioner displays nearly mesh-independent iteration counts for adaptive meshes and heterogeneous coefficients.
Keywords
Cite
@article{arxiv.1901.05830,
title = {An AMG saddle point preconditioner with application to mixed Poisson problems on adaptive quad/cube meshes},
author = {Carsten Burstedde and Jose A. Fonseca and Bram Metsch},
journal= {arXiv preprint arXiv:1901.05830},
year = {2024}
}