arXiv:1112.2377 Abstract | arXiv Analytics

arXiv:1112.2377 [math.NA]Abstract References Reviews Resources

Formulation and optimization of the energy-based blended quasicontinuum method

Published 2011-12-11, updated 2012-09-04Version 3

We formulate an energy-based atomistic-to-continuum coupling method based on blending the quasicontinuum method for the simulation of crystal defects. We utilize theoretical results from Ortner and Van Koten (manuscript) to derive optimal choices of approximation parameters (blending function and finite element grid) for microcrack and di-vacancy test problems and confirm our analytical predictions in numerical tests.

Categories: math.NA

Subjects: 65N12, 65N15, 70C20

Keywords: energy-based blended quasicontinuum method, formulation, optimization, finite element grid, di-vacancy test problems

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