199 citations · 1.3k across the 122 of their papers we have counts for
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math.NA2010★ 9 cited
Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
Björn Engquist, Lexing Ying
This paper introduces a new sweeping preconditioner for the iterative solution of the variable coefficient Helmholtz equation in two and three dimensions. The algorithms follow the…
math.NA2010★ 5 cited
Sweeping Preconditioner for the Helmholtz Equation: Hierarchical Matrix Representation
Björn Engquist, Lexing Ying
The paper introduces the sweeping preconditioner, which is highly efficient for iterative solutions of the variable coefficient Helmholtz equation including very high frequency pro…
math.NA2010★ 1 cited
Fast construction of hierarchical matrix representation from matrix-vector multiplication
Lin Lin, Jianfeng Lu, Lexing Ying
We develop a hierarchical matrix construction algorithm using matrix-vector multiplications, based on the randomized singular value decomposition of low-rank matrices. The algorith…