| Autor: |
Luise S. Couchman, Erik M. Rosen, F.X. Canning |
| Rok vydání: |
1995 |
| Předmět: |
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| Zdroj: |
The Journal of the Acoustical Society of America. 98:599-610 |
| ISSN: |
0001-4966 |
| DOI: |
10.1121/1.413652 |
| Popis: |
Numerical calculations of acoustic scattering may be based on either differential equations or on corresponding integral equations. The differential equations generate a sparse matrix problem involving (possibly implicitly) an M by M matrix. Integral equations generate a matrix of size N by N, where N is much smaller than M. In the past the matrix resulting from an integral equation was necessarily full. A method for greatly reducing the storage required is presented here. The full N by N matrix resulting from the discretization of the Helmholtz integral is transformed into a sparse N by N matrix using the interaction matrix localization (IML) method. IML is a general method for integral equations describing wave phenomena. It produces a sparse matrix by partitioning the scatterer into several regions and using groups of basis functions each of which is nonzero over an entire region. The basis functions for a region are chosen so that each radiates a narrow beam in a different direction. The number of imp... |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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