Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Spectral Multiscale Method for Wave Propagation Analysis:
  Atomistic-Continuum Coupled Simulation   In this paper, we present a new multiscale method which is capable of
coupling atomistic and continuum domains for high frequency wave propagation
analysis. The problem of non-physical wave reflection, which occurs due to the
change in system description across the interface between two scales, can be
satisfactorily overcome by the proposed method. We propose an efficient
spectral domain decomposition of the total fine scale displacement along with a
potent macroscale equation in the Laplace domain to eliminate the spurious
interfacial reflection. We use Laplace transform based spectral finite element
method to model the macroscale, which provides the optimum approximations for
required dynamic responses of the outer atoms of the simulated microscale
region very accurately. This new method shows excellent agreement between the
proposed multiscale model and the full molecular dynamics (MD) results.
Numerical experiments of wave propagation in a 1D harmonic lattice, a 1D
lattice with Lennard-Jones potential, a 2D square Bravais lattice, and a 2D
triangular lattice with microcrack demonstrate the accuracy and the robustness
of the method. In addition, under certain conditions, this method can simulate
complex dynamics of crystalline solids involving different spatial and/or
temporal scales with sufficient accuracy and efficiency.

5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph