Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1109.74332
Cattani, C.
Multiscale analysis of wave propagation in composite materials. (English)
[J] Math. Model. Anal. 8, No. 4, 267-282 (2003). ISSN 1392-6292; ISSN 1648-3510/e

Summary: The multiscale solution of the Klein-Gordon equations in the linear theory of (two-phase) materials with microstructure is defined by using a family of wavelets based on the harmonic wavelets. The connection coefficients are explicitly computed and characterized by a set of differential equations. Thus the propagation is considered as a superposition of wavelets at different scale of approximation, depending both on the physical parameters and on the connection coefficients of each scale. The coarse level concerns with the basic harmonic trend while the small details, arising at more refined levels, describe small oscillations around the harmonic zero-scale approximation.

MSC 2000:: *74J05 Linear waves
74S30 Other numerical methods
65T60 Wavelets
35Q72 Other PDE from mechanics
74E30 Composite and mixture properties

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]