Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A mixed discontinuous-continuous Galerkin time discretisation for Biot's
  system   We study higher-order space-time variational discretisations for modeling
complex processes in porous media that include fluid and structure interactions
which are of fundamental importance in many engineering fields with
applications in subsurface processes, battery-design and biomechanics. For the
discretisation in time we deploy discontinuous Galerkin dG(r) and continuous
Galerkin cG(q) discretisation families. Moreover we introduce a new coupled
dG(r)-cG(q) mixed time discretisation and show numerically the stability
advantages in the case of incompatible initial data under massively reduced
computational costs. For the discretisation in space we use a mixed finite
element method for the flow problem to ensure local mass conservation and a
continuous Galerkin method for the mechanics. We consider solving sequentially
the coupling of flow and mechanics with the fixed-stress iterative approach
such that we can reuse our system solver and preconditioning technologies for
the arising block system matrices from higher-order in time discretisations.
Numerical experiments show firstly the undeniable advantages of discontinuous
Galerkin time discretisations dG(0) and dG(1) over the continuous Galerkin time
discretisation cG(1) in the case of incompatible initial data, secondly the
advantages of the new coupled dG(1)-cG(1) in time approach in the case of
incompatible initial data with massively reduced computational costs and better
accuracy compared to the dG(1) time discretisation and thirdly the performance
and efficiency differences of the dG(0), cG(1), dG(1) and the new dG(1)-cG(1)
fixed-stress solver approaches for a sophisticated and physically relevant
three-dimensional numerical example.

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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an