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EnglishThis paper presents an improved adaptive cross approximation (ACA) approach developed in conjunction with the Hierarchical format matrix and the GMRES solver. A novel scheme to generate the cluster tree (based upon preliminary considerations of the prescribed boundary conditions) and an improved ACA algorithm (approximating the system matrix for mixed Robin conditions) are described. The asymptotic smoothness property of a kernel generated by a linear combination of two asymptotic smooth kernels is demonstrated. Numerical results show the new approach to be up to 50% faster than the conventional ACA approach.
Brancati, A., Aliabadi, M., & Milazzo, A. (2011). An Improved Hierarchical ACA Technique for Sound Absorbent Materials. COMPUTER MODELING IN ENGINEERING & SCIENCES, 78, 1-24.
| Data di pubblicazione: | 2011 |
| Titolo: | An Improved Hierarchical ACA Technique for Sound Absorbent Materials |
| Autori: | |
| Citazione: | Brancati, A., Aliabadi, M., & Milazzo, A. (2011). An Improved Hierarchical ACA Technique for Sound Absorbent Materials. COMPUTER MODELING IN ENGINEERING & SCIENCES, 78, 1-24. |
| Rivista: | |
| Abstract: | This paper presents an improved adaptive cross approximation (ACA) approach developed in conjunction with the Hierarchical format matrix and the GMRES solver. A novel scheme to generate the cluster tree (based upon preliminary considerations of the prescribed boundary conditions) and an improved ACA algorithm (approximating the system matrix for mixed Robin conditions) are described. The asymptotic smoothness property of a kernel generated by a linear combination of two asymptotic smooth kernels is demonstrated. Numerical results show the new approach to be up to 50% faster than the conventional ACA approach. |
| Settore Scientifico Disciplinare: | Settore ING-IND/04 - Costruzioni E Strutture Aerospaziali |
| Appare nelle tipologie: | 1.01 Articolo in rivista |
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http://hdl.handle.net/10447/63666
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