Summary of results: 1. Weighted BFBT preconditioner for the for the Schur complement; scalable HMG-based BFBT algorithms, heterogeneity-robust weighting of BFBT and theoretical foundation. 2. Hybrid spectral-geometric-algebraic multigrid; based on p4est library. 3. Optimal or nearly optimal algorithmic scalability. 4. Parallel scalability of solvers to 1.6 million cores.
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