Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometrically Higher Order Unfitted Space-Time Methods for PDEs on
  Moving Domains   In this paper, we propose new geometrically unfitted space-time Finite
Element methods for partial differential equations posed on moving domains of
higher order accuracy in space and time. As a model problem, the
convection-diffusion problem on a moving domain is studied. For geometrically
higher order accuracy, we apply a parametric mapping on a background space-time
tensor-product mesh. Concerning discretisation in time, we consider
discontinuous Galerkin, as well as related continuous (Petrov-)Galerkin and
Galerkin collocation methods. For stabilisation with respect to bad cut
configurations and as an extension mechanism that is required for the latter
two schemes, a ghost penalty stabilisation is employed. The article puts an
emphasis on the techniques that allow to achieve a robust but higher order
geometry handling for smooth domains. We investigate the computational
properties of the respective methods in a series of numerical experiments.
These include studies in different dimensions for different polynomial degrees
in space and time, validating the higher order accuracy in both variables.

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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas