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ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Atomistic to Continuum limitsfor computational materials science
Xavier Blanc, Claude Le Bris, Pierre-Louis Lions
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 41 / Issue 2 / March 2007

Published online by Cambridge University Press:

16 June 2007, pp. 391-426

Print publication:

March 2007
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The present article is an overview of some mathematical results, whichprovide elements of rigorous basis for some multiscalecomputations in materials science. The emphasis is laid upon atomisticto continuum limits for crystalline materials. Various mathematicalapproaches are addressed. Thesetting is stationary. The relation to existing techniques used in the engineeringliterature is investigated.