Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Online adaptive basis enrichment for mixed CEM-GMsFEM   In this research, an online basis enrichment strategy for the constraint
energy minimizing generalized multiscale finite element method in mixed
formulation is proposed. The online approach is based on the technique of
oversampling. One makes use of the information of residual and the data in the
partial differential equation such as the source function. The analysis
presented shows that the proposed online enrichment leads to a fast convergence
from multiscale approximation to the fine-scale solution. The error reduction
can be made sufficiently large by suitably selecting oversampling regions and
the number of oversampling layers. Also, the convergence rate of the enrichment
can be tuned by a user-defined parameter. Numerical results are provided to
illustrate the efficiency of the proposed method.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
18
The categories of this paper are: econ