An R-tree-based agglomeration multigrid preconditioner makes PCG for the DG monodomain model converge in 6-13 iterations per time step across p=1..3, with 3-7.5x total-time speedups over AMG at high polynomial degree.
Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study
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abstract
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.
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2026 1verdicts
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An agglomeration-based multigrid solver for the discontinuous Galerkin discretization of cardiac electrophysiology
An R-tree-based agglomeration multigrid preconditioner makes PCG for the DG monodomain model converge in 6-13 iterations per time step across p=1..3, with 3-7.5x total-time speedups over AMG at high polynomial degree.