Semi-analytic solution to planar Helmholtz equation
Acoustic solution of interior domains is of great interest. Solving acoustic pressure fields faster with lower computational requirements is demanded. A novel solution technique based on the analytic solution to the Helmholtz equation in rectangular domain is presented. This semi-analytic solution i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of West Bohemia
2013-06-01
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| Series: | Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | http://www.kme.zcu.cz/acm/index.php/acm/article/view/194/208 |
| _version_ | 1819125597032415232 |
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| author | Tukač M. Vampola T. |
| author_facet | Tukač M. Vampola T. |
| author_sort | Tukač M. |
| collection | DOAJ |
| description | Acoustic solution of interior domains is of great interest. Solving acoustic pressure fields faster with lower computational requirements is demanded. A novel solution technique based on the analytic solution to the Helmholtz equation in rectangular domain is presented. This semi-analytic solution is compared with the finite element method, which is taken as the reference. Results show that presented method is as precise as the finite element method. As the semi-analytic method doesn’t require spatial discretization, it can be used for small and very large acoustic problems with the same computational costs. |
| first_indexed | 2024-12-22T07:42:40Z |
| format | Article |
| id | doaj.art-4278cb0534724becab55b5a41f72ab7f |
| institution | Directory Open Access Journal |
| issn | 1802-680X |
| language | English |
| last_indexed | 2024-12-22T07:42:40Z |
| publishDate | 2013-06-01 |
| publisher | University of West Bohemia |
| record_format | Article |
| series | Applied and Computational Mechanics |
| spelling | doaj.art-4278cb0534724becab55b5a41f72ab7f2022-12-21T18:33:42ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2013-06-01717786Semi-analytic solution to planar Helmholtz equationTukač M.Vampola T.Acoustic solution of interior domains is of great interest. Solving acoustic pressure fields faster with lower computational requirements is demanded. A novel solution technique based on the analytic solution to the Helmholtz equation in rectangular domain is presented. This semi-analytic solution is compared with the finite element method, which is taken as the reference. Results show that presented method is as precise as the finite element method. As the semi-analytic method doesn’t require spatial discretization, it can be used for small and very large acoustic problems with the same computational costs.http://www.kme.zcu.cz/acm/index.php/acm/article/view/194/208Semi-analyticAcousticsHelmholtzGalerkinWeighted residuals method |
| spellingShingle | Tukač M. Vampola T. Semi-analytic solution to planar Helmholtz equation Applied and Computational Mechanics Semi-analytic Acoustics Helmholtz Galerkin Weighted residuals method |
| title | Semi-analytic solution to planar Helmholtz equation |
| title_full | Semi-analytic solution to planar Helmholtz equation |
| title_fullStr | Semi-analytic solution to planar Helmholtz equation |
| title_full_unstemmed | Semi-analytic solution to planar Helmholtz equation |
| title_short | Semi-analytic solution to planar Helmholtz equation |
| title_sort | semi analytic solution to planar helmholtz equation |
| topic | Semi-analytic Acoustics Helmholtz Galerkin Weighted residuals method |
| url | http://www.kme.zcu.cz/acm/index.php/acm/article/view/194/208 |
| work_keys_str_mv | AT tukacm semianalyticsolutiontoplanarhelmholtzequation AT vampolat semianalyticsolutiontoplanarhelmholtzequation |