Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of patch-test consistent atomistic-to-continuum coupling with
  higher-order finite elements   We formulate a patch test consistent atomistic-to-continuum coupling (a/c)
scheme that employs a second-order (potentially higher-order) finite element
method in the material bulk. We prove a sharp error estimate in the
energy-norm, which demonstrates that this scheme is (quasi-)optimal amongst
energy-based sharp-interface a/c schemes that employ the Cauchy--Born continuum
model. Our analysis also shows that employing a higher-order continuum
discretization does not yield qualitative improvements to the rate of
convergence.

35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat