Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions
Two optimization aspects of the meshless method (MLM) based on nonsingular radial basis functions (RBFs) are considered in an acoustic indoor problem. The former is based on the minimization of the mean value of the relative error of the solution in the domain. The letter is based on the minimizatio...
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Institute of Fundamental Technological Research Polish Academy of Sciences
2020-11-01
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| Series: | Archives of Acoustics |
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| Online Access: | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2837 |
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| author | Edyta PRĘDKA Anna KOCAN-KRAWCZYK Adam Jan BRAŃSKI |
| author_facet | Edyta PRĘDKA Anna KOCAN-KRAWCZYK Adam Jan BRAŃSKI |
| author_sort | Edyta PRĘDKA |
| collection | DOAJ |
| description | Two optimization aspects of the meshless method (MLM) based on nonsingular radial basis functions (RBFs) are considered in an acoustic indoor problem. The former is based on the minimization of the mean value of the relative error of the solution in the domain. The letter is based on the minimization of the relative error of the solution at the selected points in the domain. In both cases the optimization leads to the finding relations between physical parameters and the approximate solution parameters. The room acoustic field with uniform, impedance walls is considered.
As results, the most effective Hardy’s Radial Basis Function (H-RBF) is pointed out and the number of elements in the series solution as a function of frequency is indicated. Next, for H-RBF and fixed n, distributions of appropriate acoustic fields in the domain are compared. It is shown that both aspects of optimization improve the description of the acoustic field in the domain in a strictly defined sense. |
| format | Article |
| id | doaj-art-bcacbca8d12c48cbab3722c776089bef |
| institution | DOAJ |
| issn | 0137-5075 2300-262X |
| language | English |
| publishDate | 2020-11-01 |
| publisher | Institute of Fundamental Technological Research Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Acoustics |
| spelling | doaj-art-bcacbca8d12c48cbab3722c776089bef2025-08-20T02:51:19ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2020-11-0145410.24425/aoa.2020.135252Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary ConditionsEdyta PRĘDKA0Anna KOCAN-KRAWCZYK1Adam Jan BRAŃSKI2Technical University of RzeszówTechnical University of RzeszówTechnical University of RzeszówTwo optimization aspects of the meshless method (MLM) based on nonsingular radial basis functions (RBFs) are considered in an acoustic indoor problem. The former is based on the minimization of the mean value of the relative error of the solution in the domain. The letter is based on the minimization of the relative error of the solution at the selected points in the domain. In both cases the optimization leads to the finding relations between physical parameters and the approximate solution parameters. The room acoustic field with uniform, impedance walls is considered. As results, the most effective Hardy’s Radial Basis Function (H-RBF) is pointed out and the number of elements in the series solution as a function of frequency is indicated. Next, for H-RBF and fixed n, distributions of appropriate acoustic fields in the domain are compared. It is shown that both aspects of optimization improve the description of the acoustic field in the domain in a strictly defined sense.https://acoustics.ippt.pan.pl/index.php/aa/article/view/2837architectural acousticsmeshless methodradial basis functionsimpedance boundary condition |
| spellingShingle | Edyta PRĘDKA Anna KOCAN-KRAWCZYK Adam Jan BRAŃSKI Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions Archives of Acoustics architectural acoustics meshless method radial basis functions impedance boundary condition |
| title | Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions |
| title_full | Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions |
| title_fullStr | Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions |
| title_full_unstemmed | Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions |
| title_short | Selected Aspects of Meshless Method Optimization in the Room Acoustics with Impedance Boundary Conditions |
| title_sort | selected aspects of meshless method optimization in the room acoustics with impedance boundary conditions |
| topic | architectural acoustics meshless method radial basis functions impedance boundary condition |
| url | https://acoustics.ippt.pan.pl/index.php/aa/article/view/2837 |
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