A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources-Reference-Cited by-同舟云学术

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A Fast Butterfly-Compressed Hadamard–Babich Integrator for High-Frequency Helmholtz Equations in Inhomogeneous Media with Arbitrary Sources

Published:2023-02-25 Issue:1 Volume:21 Page:269-308
ISSN:1540-3459
Container-title:Multiscale Modeling & Simulation
language:en
Short-container-title:Multiscale Model. Simul.

Author:

Liu Yang¹^ORCID,Song Jian²,Burridge Robert³,Qian Jianliang²

Affiliation:

1. Applied Mathematics and Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720 USA.

2. Department of Mathematics, Michigan State University, East Lansing, MI 48824 USA.

3. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, NM 87131 USA.

Funder

Exascale Computing Project

National Energy Research Scientific Computing Center

National Science Foundation

U.S. Department of Energy

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Computer Science Applications,General Physics and Astronomy,Ecological Modeling,Modeling and Simulation,General Chemistry

Reference69 articles.

1. Improving Multifrontal Methods by Means of Block Low-Rank Representations

2. The high-frequency asymptotic field of a point source in an inhomogeneous medium

3. The short wave asymptotic form of the solution for the problem of a point source in an inhomogeneous medium

4. A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Hadamard Integrators for Wave Equations in Time and Frequency Domain: Eulerian Formulations via Butterfly Algorithms;Journal of Scientific Computing;2024-07-31

2. Hadamard integrator for time-dependent wave equations: Lagrangian formulation via ray tracing;Journal of Computational Physics;2024-01

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