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Quasi-matrix-free Hybrid Multigrid on Dynamically Adaptive Cartesian Grids
2018
ACM Transactions on Mathematical Software
We present a family of spacetree-based multigrid realizations using the tree's multiscale nature to derive coarse grids. They align with matrix-free geometric multigrid solvers as they never assemble the system matrices which is cumbersome for dynamically adaptive grids and full multigrid. The most sophisticated realizations use BoxMG to construct operator-dependent prolongation and restriction in combination with Galerkin/Petrov-Galerkin coarse-grid operators. This yields robust solvers for
doi:10.1145/3165280
fatcat:wmygp64iy5f3bbnwiu5l4g6bfq