Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Online basis construction for goal-oriented adaptivity in the
  Generalized Multiscale Finite Element Method   In this research, we develop an online enrichment framework for goal-oriented
adaptivity within the generalized multiscale finite element method for flow
problems in heterogeneous media. The method for approximating the quantity of
interest involves construction of residual-based primal and dual basis
functions used to enrich the multiscale space at each stage of the adaptive
algorithm. Three different online enrichment strategies based on the
primal-dual online basis construction are proposed: standard, primal-dual
combined and primal-dual product based. Numerical experiments are performed to
illustrate the efficiency of the proposed methods for high-contrast
heterogeneous problems.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex