3 problems
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Scalability-boundary conjecture for sweeping preconditioners
Consider sweeping preconditioners for the high-frequency Helmholtz equation, used to solve a problem with a single right-hand side in a distributed-memory parallel computational en…
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Logarithmic GMRES iteration conjecture for fixed-thickness PML regions
Let denote the frequency, and consider a Helmholtz problem discretized sufficiently accurately with a perfectly matched layer (PML) region whose thickness is kept constant…
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Cros's conjecture on the equivalence of P-FETI-DP and BDDC
The primal variant of FETI-DP, denoted P-FETI-DP, and the Balancing Domain Decomposition by Constraints method, denoted BDDC, are the two preconditioners under consideration. Cros'…