Study of the effective properties of mass and stiffness microstructures - a multiresolution approach

Quarterly of Applied Mathematics

Volumn 57, Issue 3, 1999, Pages 401-432

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

^a Catholic University of America ^*  (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MICROSTRUCTURE; PLATES (STRUCTURAL COMPONENTS); STIFFNESS; STRUCTURAL ANALYSIS;

MICROSCALE STIFFNESS VARIATION; MULTIRESOLUTION DECOMPOSITION THEORY;

ELASTICITY;

EID: 0032624214     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1704459     Document Type: Article

References (9)

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2. B. Z. Steinberg and J. J. McCoy, Effective measures for nonstationary microscale stiffness variation using multiresolution decomposition, J. Acoust. Soc. Amer. 98, 3516-3526 (1995)
3. S. G. Mallat, A theory for multiresolution signal decomposition: The wavelet representation, IEEE Trans. Patt. Anal. Mach. Intel. 11 (7), 674-693 (1989)
4. 2, Trans. Amer. Math. Soc. 315, 69-87 (1989)
5. I. Daubechies, Ten lectures on wavelets, CBMS-NSF Series in Applied Mathematics, SIAM Publ., Philadelphia, 1992
6. M. E. Brewster and G. Beylkin, A multiresolution strategy for numerical homogenization, Appl. Comp. Harmonic Anal. 2, 327-349 (1995)
7. B. Z. Steinberg, A multiresolution theory of scattering and diffraction, Wave Motion 19, 213-232 (1994)
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. Z. Steinberg and Y. Leviatan, On the use of the wavelet expansion in the method of moments, IEEE Trans. Antennas and Propagation, May 1993