Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of a continuous Galerkin method for mixed
  hyperbolic-parabolic systems   We study the numerical approximation by space-time finite element methods of
a multi-physics system coupling hyperbolic elastodynamics with parabolic
transport and modelling poro- and thermoelasticity. The equations are rewritten
as a first-order system in time. Discretizations by continuous Galerkin methods
in space and time with inf-sup stable pairs of finite elements for the spatial
approximation of the unknowns are investigated. Optimal order error estimates
of energy-type are proven. Superconvergence at the time nodes is addressed
briefly. The error analysis can be extended to discontinuous and enriched
Galerkin space discretizations. The error estimates are confirmed by numerical
experiments.

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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph