Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A posteriori error estimation and adaptive strategy for the control of
  MsFEM computations   We introduce quantitative and robust tools to control the numerical accuracy
in simulations performed using the Multiscale Finite Element Method (MsFEM).
First, we propose a guaranteed and fully computable a posteriori error estimate
for the global error measured in the energy norm. It is based on dual analysis
and the Constitutive Relation Error (CRE) concept, with recovery of
equilibrated fluxes from the approximate MsFEM solution. Second, the estimate
is split into several indicators, associated to the various MsFEM error
sources, in order to drive an adaptive procedure. The overall strategy thus
enables to automatically identify an appropriate trade-off between accuracy and
computational cost in the MsFEM numerical simulations. Furthermore, the
strategy is compatible with the offline/online paradigm of MsFEM. The
performances of our approach are demonstrated on several numerical experiments.

24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an