An accelerated, high-order accurate direct solver for the Lippmann–Schwinger equation for acoustic scattering in the plane-Reference-Cited by-同舟云学术

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An accelerated, high-order accurate direct solver for the Lippmann–Schwinger equation for acoustic scattering in the plane

Published:2022-06-29 Issue:4 Volume:48 Page:
ISSN:1019-7168
Container-title:Advances in Computational Mathematics
language:en
Short-container-title:Adv Comput Math

Author:

Gopal Abinand,Martinsson Per-Gunnar

Funder

office of naval research

national science foundation

nvidia

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10444-022-09963-1.pdf

Reference30 articles.

1. Ambikasaran, S, Borges, C, Imbert-Gerard, L-M, Greengard, L: Fast, adaptive, high-order accurate discretization of the Lippmann–Schwinger equation in two dimensions. SIAM J. Sci. Comput. 38(3), A1770–A1787 (2016)

2. Ambikasaran, S, Darve, E: An $\mathcal {O}(n \log {N})$ fast direct solver for partial hierarchically semi-separable matrices. J. Sci. Comput. 57(3), 477–501 (2013)

3. Babuška, Ivo, Sauter, Stefan: Is the pollution effect of the FEM avoidable for the Helmholtz equation considering high wave numbers? SIAM J. Numer. Anal. 34(6), 2392–2423 (1997)

4. Berenger, J-P: A perfectly matched layer for the absorption of electromagnetic waves. J. Comput. Phys. 114(2), 185–200 (1994)

5. Borges, C, Gillman, A, Greengard, L: High resolution inverse scattering in two dimensions using recursive linearization. SIAM J. Imaging Sci. 10 (2), 641–664 (2017)

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