Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On stability, convergence and accuracy of bES-FEM and bFS-FEM for nearly
  incompressible elasticity   We present in this paper a rigorous theoretical framework to show stability,
convergence and accuracy of improved edge-based and face-based smoothed finite
element methods (bESFEM and bFS-FEM) for nearly-incompressible elasticity
problems. The crucial idea is that the space of piecewise linear polynomials
used for the displacements is enriched with bubble functions on each element,
while the pressure is a piecewise constant function. The meshes of triangular
or tetrahedral elements required by these methods can be generated
automatically. The enrichment induces a softening in the bilinear form allowing
the weakened weak (W2)procedure to produce a high-quality solution, free from
locking and that does not oscillate. We prove theoretically that both methods
confirm the uniform inf-sup and convergence conditions. Four numerical examples
are given to validate the reliability of the bES-FEM and bFS-FEM.

9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th