The penetration function and its application to microscale problems

Author:

Babuška Ivo,Lipton Robert,Stuebner Michael

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Reference33 articles.

1. A. Abdulle and B. Engquist, Finite element heterogeneous multiscale methods with near optimal computational complexity, Isaac Newton Institute for Mathematical Sciences, preprint, NI0746-HOP, 2007.

2. I. Babuška, Homogenization and its applications, mathematical and computational problems, in Numerical Solution of Partial Differential Equations III (SYNSPADE 1975, Maryland, May 1975), B. Hubbard, ed., Academic Press, New York, 1976, pp. 89–110.

3. I. Babuška, G. Calosh, and J. Osborn, Special finite element method for a class of second order elliptic problems with rough coefficients, SIAM J. Numer. Anal., 31 (1994), pp. 945–981.

4. I. Babuška, B. Andersson, P. J. Smith, and K. Levin, Damage analysis of fiber composites, part I statistical analysis on fiber scale, Comput. Methods Appl. Mech. Eng., 172 (1999), pp. 27–78.

5. I. Babuška, R. Lipton, and M. Stüebner, A generalization of Saint Venant’s principle and applications of penetration functions, preprint.

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