A GPU parallel randomized CUR compression method for the Method of Moments

Lopez-Menchon, Hector; Heldring, A.; Úbeda, Eduard; Rius, Josep

doi:10.1016/j.cpc.2023.108696

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A Multikernel Compression For the Cfie1

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Cited by 2 publications

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“…During each MVP ½C½U½R½x, rather than computing the pseudoinverse, which is subject to instabilities and depends on a truncation threshold, we use an lower-upper solver. Because the rank r is not known beforehand, we use the heuristic algorithm described in [5] to sample rows and columns: on each iteration, the indices I and J are chosen randomly, and the error is computed with respect to the projection into a random subspace of the previous iteration. If the error exceeds the demanded threshold, the sample size is doubled, and the algorithm continues with the next iteration.…”

Section: A Multikernel Compression For the Cfiementioning

confidence: 99%

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Efficient Multikernel Hierarchical Compression for Boundary Element Matrices

2023

RSL

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We present a new scheme that allows for the compression of operators of the combined field integral equation in the low-frequency regime using a hierarchical decomposition that leverages a unified pseudoskeleton approximation of both the single-and the double-layer Green's function at the quadrature points. Compared with a standard adaptive cross approximation, the numerical results show a reduced memory consumption without sacrificing computational run time.

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Section: A Multikernel Compression For the Cfiementioning

confidence: 99%

“…What makes the ACA appealing is its purely algebraic nature, which allows for a straightforward combination with existing BEM codes. A less commonly used algorithm, which is also of purely algebraic nature, is the pseudoskeleton approximation, also known as CUR [4,5].…”

Section: Introductionmentioning

confidence: 99%