Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Condensed Constrained Nonconforming Mortar-based Approach for
  Preconditioning Finite Element Discretization Problems   This paper presents and studies an approach for constructing auxiliary space
preconditioners for finite element problems using a constrained nonconforming
reformulation, that is based on a proposed modified version of the mortar
method. The well-known mortar finite element discretization method is modified
to admit a local structure, providing an element-by-element or
subdomain-by-subdomain assembly property. This is achieved via the introduction
of additional trace finite element spaces and degrees of freedom (unknowns)
associated with the interfaces between adjacent elements or subdomains. The
resulting nonconforming formulation and a reduced via static condensation Schur
complement form on the interfaces are used in the construction of auxiliary
space preconditioners for a given conforming finite element discretization
problem. The properties of these preconditioners are studied and their
performance is illustrated on model second order scalar elliptic problems
utilizing high order elements.

34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg