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A-priori analysis of the quasicontinuum method in one dimension

Abstract:

The quasicontinuum method is a coarse-graining technique for reducing the complexity of atomistic simulations in a static and quasistatic setting. In this paper we give an a-priori error analysis for the quasicontinuum method in one dimension. We consider atomistic models with Lennard-Jones type long range interactions and a practical QC formulation. First, we prove the existence, the local uniqueness and the stability with respect to discrete W1,∞-norm of elastic and fractured atomistic sol...

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Unspecified
Publication date:
2006-07-01
UUID:
uuid:fc58eb1a-fa0f-440c-8fdf-4a757ed1f76c
Local pid:
oai:eprints.maths.ox.ac.uk:1111
Deposit date:
2011-05-20

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