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Volume 15, Issue 4
A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures

Qiang Sun

Adv. Appl. Math. Mech., 15 (2023), pp. 831-851.

Published online: 2023-04

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  • Abstract

Localized point sources (monopoles) in an acoustical domain are implemented to a three dimensional non-singular Helmholtz boundary element method in the frequency domain. It allows for the straightforward use of higher order surface elements on the boundaries of the problem. It will been shown that the effect of the monopole sources ends up on the right hand side of the resulting matrix system. Some carefully selected examples are studied, such as point sources near and within a concentric spherical core-shell scatterer (with theoretical verification), near a curved focusing surface and near a multi-scale and multi-domain acoustic lens.

  • AMS Subject Headings

65N38, 76M15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-15-831, author = {Sun , Qiang}, title = {A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2023}, volume = {15}, number = {4}, pages = {831--851}, abstract = {

Localized point sources (monopoles) in an acoustical domain are implemented to a three dimensional non-singular Helmholtz boundary element method in the frequency domain. It allows for the straightforward use of higher order surface elements on the boundaries of the problem. It will been shown that the effect of the monopole sources ends up on the right hand side of the resulting matrix system. Some carefully selected examples are studied, such as point sources near and within a concentric spherical core-shell scatterer (with theoretical verification), near a curved focusing surface and near a multi-scale and multi-domain acoustic lens.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2022-0024}, url = {http://global-sci.org/intro/article_detail/aamm/21589.html} }
TY - JOUR T1 - A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures AU - Sun , Qiang JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 831 EP - 851 PY - 2023 DA - 2023/04 SN - 15 DO - http://doi.org/10.4208/aamm.OA-2022-0024 UR - https://global-sci.org/intro/article_detail/aamm/21589.html KW - Acoustic monopoles, acoustic lens, boundary integral method, quadratic elements. AB -

Localized point sources (monopoles) in an acoustical domain are implemented to a three dimensional non-singular Helmholtz boundary element method in the frequency domain. It allows for the straightforward use of higher order surface elements on the boundaries of the problem. It will been shown that the effect of the monopole sources ends up on the right hand side of the resulting matrix system. Some carefully selected examples are studied, such as point sources near and within a concentric spherical core-shell scatterer (with theoretical verification), near a curved focusing surface and near a multi-scale and multi-domain acoustic lens.

Qiang Sun. (2023). A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures. Advances in Applied Mathematics and Mechanics. 15 (4). 831-851. doi:10.4208/aamm.OA-2022-0024
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