Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Iterative Solution of the Quasicontinuum Equilibrium Equations with
  Continuation   We give an analysis of a continuation algorithm for the numerical solution of
the force-based quasicontinuum equations. The approximate solution of the
force-based quasicontinuum equations is computed by an iterative method using
an energy-based quasicontinuum approximation as the preconditioner.
  The analysis presented in this paper is used to determine an efficient
strategy for the parameter step size and number of iterations at each parameter
value to achieve a solution to a required tolerance. We present computational
results for the deformation of a Lennard-Jones chain under tension to
demonstrate the necessity of carefully applying continuation to ensure that the
computed solution remains in the domain of convergence of the iterative method
as the parameter is increased. These results exhibit fracture before the actual
load limit if the parameter step size is too large.

36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
16
The categories of this paper are: stat
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph