A multiresolution analysis of scattering by a pair of local regions of complex heterogeneity

Journal of the Acoustical Society of America

Volumn 103, Issue 3, 1998, Pages 1273-1281

  Steinberg, Ben Zion ^a   McCoy, John J ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b Catholic University of America   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC VARIABLES MEASUREMENT; ELASTIC WAVES; ESTIMATION; NUMERICAL ANALYSIS; PLATES (STRUCTURAL COMPONENTS); STIFFNESS;

BENDING STIFFNESS; MULTIRESOLUTION ANALYSIS; THIN LINEARLY ELASTIC PLATE;

ACOUSTIC WAVE SCATTERING;

ACOUSTICS; ARTICLE; ENERGY TRANSFER; PRIORITY JOURNAL; SOUND TRANSMISSION;

EID: 0032032604     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.421267     Document Type: Article

References (13)

1. B. Z. Steinberg and J. J. McCoy, "Towards local effective parameter theories using multiresolution decomposition," J. Acoust. Soc. Am. 96, 1130-1143 (1994).
2. B. Z. Steinberg and J. J. McCoy, "Effective measures for nonstationary microscale stiffness variation using multiresolution decomposition," J. Acoust. Soc. Am. 98, 3516-3526 (1995).
3. B Z. Steinberg and J. J. McCoy, "A class of one dimensional stiffness microstructures resulting in identical macroscale response," Wave Motion 23, 237-258 (1996).
4. B. Z. Steinberg and J. J. McCoy, "A study of the effective properties of mass and stiffness microstructure - A multiresolution approach," Q. Appl. Math. (to appear).
5. B. Z. Steinberg and J. J. McCoy, "A multiresolution study of effective properties of complex electromagnetic systems," IEEE Trans. Antennas Propag. (to appear).
6. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Mathematics (SIAM, Philadelphia, 1992).
7. S. G. Mallat, "A theory for multiresolution signal decomposition: the wavelet representation," IEEE Trans. Pattern. Anal. Mach. Intell. 11, 674-693 (1989).
8. G. Beylkin, R. Coifman, and V. Rokhlin, "Fast wavelet transforms and numerical algorithms I," Commun. Pure Appl. Math. 44, 141-183 (1991).
9. B. Alpert, G. Beylkin, R. Coifman, and V. Rokhlin, "Wavelet bases for the fast solution of the second-kind integral equations," SIAM J. Sci. Stat. Comput. 14, 159-184 (1993).
10. S. Jaffard and Ph. Laurencot, "Orthonormal wavelets, analysis of operators and applications to numerical analysis," in Wavelets: A Tutorial in Theory and Applications, edited by C. K. Chui (Academic, New York, 1992).
11. B. Z. Steinberg and Y. Leviatan, "On the use of wavelet expansions in the method of moments," IEEE Trans. Antennas Propag. AP-41, 610-619 (1993).
12. B. Z. Steinberg and Y. Leviatan, "A multiresolution study of two-dimensional scattering by metallic cylinders," IEEE Trans. Antennas Propag. 44, 572-579 (1996).
13. M. E. Brewster and G. Beylkin, "A multiresolution strategy for numerical homogenization," Appl. Comput. Harmonic Anal. 2, 327-349 (1995).