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Effective Conductivity of Nonlinear Two-Phase Media: Homogenization and Two-Point Padé Approximants (2000)

Telega, J. J. ; Tokarzewski, S. ; Gałka, A.

Springer

Acta applicandae mathematicae 61 (2000), S. 295-315

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ISSN: 1572-9036

Keywords: effective properties ; homogenization ; composites ; conductivities ; bounds, Padé approximants ; continued fractions

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The aim of this paper is a study of the quasilinear transport equation, for instance the stationary heat equation. For periodically microheterogeneous media asymptotic homogenization has been performed with the local problem formulated as a minimization problem. The Golden–Papanicolaou integral representation theorem and some bounds developed for the linear equation have been extended. Two-point Padé approximants have been used to calculate bounds. Examples are also provided.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1023/A:1006487103815

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