Effects, interpretation and practical application of truncated SVD in the numerical solution of inverse radiation problems

Proceedings of the 25th International Conference on Noise and Vibration Engineering, ISMA

Volumn , Issue , 2000, Pages 1427-1435

  Márki, Ferenc ^a   Augusztinovicz, Fülöp ^a  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC FIELDS; BOUNDARY ELEMENT METHOD; ERROR ANALYSIS; MATHEMATICAL MODELS; MODAL ANALYSIS; RADIATION; SENSORS; VECTORS; VIBRATIONS (MECHANICAL);

ACOUSTICAL SYSTEMS; BOUNDARY ELEMENTS (BE); MECHANICAL SYSTEMS; SINGULAR VALUE DECOMPOSITION (SVD);

INVERSE PROBLEMS;

EID: 13444309557     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. Golub, G.H. and Van Loan, Ch.F., "Matrix computations", The Johns Hopkins University Press, Baltimore, 1983
2. Maia, N.M.M, "Fundamentals of Singular Value Decomposition", Proc. of the Florence Modal Analysis Conference, eds. B. Piombo et al., Consiglio Nazionale delle Ricerche, Florence, pp. 709-715, 1991.
3. Veronesi, W.A. and Maynard, J.D., "Digital holographic reconstruction of sources with arbitrary shaped surfaces". Journ. Acoust. Soc. Amer., Vol. 85. No.2. pp. 588-598, 1989
4. th Int. Seminar on Applied Acoustics, Leuven, 1997.
5. M. Tournour, L. Cremers, P. Guisset, F. Augusztinovicz and F. Márki, Inverse numerical acoustics based on acoustic transfer vectors. Proc. International congress of Sound and Vibration, Garmisch-Partenkirchen, Vol. IV. pp. 2069-2077 (2000)
6. F. Augusztinovicz and M. Tournour, Reconstruction of source strength distribution by inversing the boundary element method. In: Boundary Elements in Acoustics (Ed: Otto von Estorff), Chapter 8. WIT Press, Southampton (2000)
7. Tikhonov, A. N, "Solution of incorrectly formulated problems and the regularization method", Doklady Akad. Nauk. SSSR, Vol. 151. pp. 501-504 = Soviet Math. Dokl. Vol. 4. pp. 1035-1038, 1963
8. Tikhonov, A. N, "Solution of incorrectly formulated problems and the regularization method", Doklady Akad. Nauk. SSSR, Vol. 151. pp. 501-504 = Soviet Math. Dokl. Vol. 4. pp. 1035-1038, 1963
9. Varah, J.M, "On the numerical solution of ill-conditioned linear systems with applications to ill-posed problems". SIAM J. Numer. Anal, Vol. 10. pp. 257-267, 1973.
10. Hansen, P.C., "Regularization of discrete ill-posed problems". Numerical algorithms Vol. 6., pp. 1-35, 1994.
11. Photiadis, D.M., "The relationship of singular value decomposition to wave-vector filtering in sound radiation problems". Journ. Acoust. Soc. Amer., Vol. 88. No.2. pp. 1152-1159, 1990.
12. th Int. Congress on Sound and Vibration, Copenhagen, pp. 859-868, 1999.