Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Force-Based Atomistic/Continuum Blending for Multilattices   We formulate the blended force-based quasicontinuum (BQCF) method for
multilattices and develop rigorous error estimates in terms of the
approximation parameters: atomistic region, blending region and continuum
finite element mesh. Balancing the approximation parameters yields a convergent
atomistic/continuum multiscale method for multilattices with point defects,
including a rigorous convergence rate in terms of the computational cost. The
analysis is illustrated with numerical results for a Stone--Wales defect in
graphene.

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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
1
The categories of this paper are: cs