Numerical solution of 3D unsteady scattering problems with sub-linear complexity

Sergey Petropavlovsky; Semyon Tsynkov; Eli Turkel

doi:10.1109/ACES53325.2021.00138

Numerical solution of 3D unsteady scattering problems with sub-linear complexity

Sergey Petropavlovsky, Semyon Tsynkov, Eli Turkel

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We present an efficient high order accurate boundary algorithm for the numerical solution of unsteady exterior initial boundary problems for the three-dimensional wave equation. The algorithm relies on the method of difference potentials combined with the Huygens' principle.

Original language	English
Title of host publication	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781733509626
DOIs	https://doi.org/10.1109/ACES53325.2021.00138
State	Published - 1 Aug 2021
Event	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021 - Virtual, Hamilton, Canada Duration: 1 Aug 2021 → 5 Aug 2021

Publication series

Name	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021

Conference

Conference	2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021
Country/Territory	Canada
City	Virtual, Hamilton
Period	1/08/21 → 5/08/21

Funding

Funders	Funder number
US ARO	W911NF-16-1-0115
US–Israel BSF	2014048

Keywords

3D wave equation
Huygens' principle
Method of difference potentials

Access to Document

10.1109/ACES53325.2021.00138

Cite this

Petropavlovsky, S., Tsynkov, S., & Turkel, E. (2021). Numerical solution of 3D unsteady scattering problems with sub-linear complexity. In 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021 (2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ACES53325.2021.00138

Petropavlovsky, Sergey ; Tsynkov, Semyon ; Turkel, Eli. / Numerical solution of 3D unsteady scattering problems with sub-linear complexity. 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021).

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abstract = "We present an efficient high order accurate boundary algorithm for the numerical solution of unsteady exterior initial boundary problems for the three-dimensional wave equation. The algorithm relies on the method of difference potentials combined with the Huygens' principle.",

keywords = "3D wave equation, Huygens' principle, Method of difference potentials",

author = "Sergey Petropavlovsky and Semyon Tsynkov and Eli Turkel",

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Petropavlovsky, S, Tsynkov, S & Turkel, E 2021, Numerical solution of 3D unsteady scattering problems with sub-linear complexity. in 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021. 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021, Institute of Electrical and Electronics Engineers Inc., 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021, Virtual, Hamilton, Canada, 1/08/21. https://doi.org/10.1109/ACES53325.2021.00138

Numerical solution of 3D unsteady scattering problems with sub-linear complexity. / Petropavlovsky, Sergey; Tsynkov, Semyon; Turkel, Eli.
2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021. Institute of Electrical and Electronics Engineers Inc., 2021. (2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Petropavlovsky S, Tsynkov S, Turkel E. Numerical solution of 3D unsteady scattering problems with sub-linear complexity. In 2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021. Institute of Electrical and Electronics Engineers Inc. 2021. (2021 International Applied Computational Electromagnetics Society Symposium, ACES 2021). doi: 10.1109/ACES53325.2021.00138

Numerical solution of 3D unsteady scattering problems with sub-linear complexity

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