73 citations · 330 across the 42 of their papers we have counts for
Showing 2016 · math.NAShow all
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math.NA2016★ 4 cited
A Matrix-free Preconditioner for the Helmholtz Equation based on the Fast Multipole Method
Huda Ibeid, Rio Yokota, David Keyes
Fast multipole methods (FMM) were originally developed for accelerating -body problems for particle-based methods. FMM is more than an -body solver, however. Recent efforts t…
math.NA2016★ 2 cited
A Direct Elliptic Solver Based on Hierarchically Low-rank Schur Complements
Gustavo Chávez, George Turkiyyah, David Keyes
A parallel fast direct solver for rank-compressible block tridiagonal linear systems is presented. Algorithmic synergies between Cyclic Reduction and Hierarchical matrix arithmetic…
math.NA2016★ 11 cited
Fast Multipole Method as a Matrix-Free Hierarchical Low-Rank Approximation
Rio Yokota, Huda Ibeid, David Keyes
There has been a large increase in the amount of work on hierarchical low-rank approximation methods, where the interest is shared by multiple communities that previously did not i…