Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study
This work addresses the need for efficient solvers in Virtual Element methods, but the results are incremental as they focus on numerical experiments without proposing new algorithmic advances.
The study evaluates algebraic multigrid methods for solving linear systems from Virtual Element discretizations on general polygonal meshes, showing efficacy for elliptic problems with heterogeneous diffusion coefficients.
We investigate the performance of algebraic multigrid methods for the solution of the linear system of equations arising from a Virtual Element discretization. We provide numerical experiments on very general polygonal meshes for a model elliptic problem with and without highly heterogeneous diffusion coefficients and we draw conclusions regarding the efficacy of the method.