Balanced Geometric Multigrid (2009-2010)
Neither solvers with best numerical convergence nor solvers with best parallel efficiency are the best choice for the fast solution of PDE problems in practice. The fastest solvers require a delicate balance between their numerical and hardware characteristics. Balancing both aspects we can parallelize strong sequential preconditioners with large parallel speedup and hardly any loss in numerical performance. In this way GMG can also solve ill-conditioned systems.