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International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

Institutional price:	$747.00
Issues per year:	6

Best Paper Award Selection - Editorial Board Site

2004, Volume2

170 pages

DOI: 10.1615/IntJMultCompEng.v2.i4

Issue price - $178.00

Multiscale Computational Strategy With Time and Space Homogenization: A Radial-Type Approximation Technique for Solving Microproblems

Anthony Nouy
LMT-Cachan (ENS Cachan, CNRS, University Paris 6), 61, avenue du President Wilson, F-94235 Cachan CeDEX, France

Pierre Ladeveze, Professor
Laboratoire de Mecanique et Technologie, E.N.S. de Cachan /C.N.R.S./ University, Paris VI, 61 Avenue du President Wilson, 94235 Cachan Cedex, France

ABSTRACT

A new multiscale computational strategy for the analysis of structures (such as composite structures) described in detail both in space and in time was introduced recently. This strategy is iterative and involves an automatic homogenization procedure in space as well as in time. At each iteration, this procedure requires the resolution of a large number of linear evolution equations, called the microproblems, on the microscale. In this paper, we present a robust approximate resolution technique for these microproblems based on the concept of radial approximation. This very general technique, which leads to the construction of a relevant reduced basis of space functions, is particularly suitable for the analysis of composite structures.