Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A subcell-enriched Galerkin method for advection problems   In this work, we introduce a generalization of the enriched Galerkin (EG)
method. The key feature of our scheme is an adaptive two-mesh approach that, in
addition to the standard enrichment of a conforming finite element
discretization via discontinuous degrees of freedom, allows to subdivide
selected (e.g. troubled) mesh cells in a non-conforming fashion and to use
further discontinuous enrichment on this finer submesh. We prove stability and
sharp a priori error estimates for a linear advection equation by using a
specially tailored projection and conducting some parts of a standard
convergence analysis for both meshes. By allowing an arbitrary degree of
enrichment on both, the coarse and the fine mesh (also including the case of no
enrichment), our analysis technique is very general in the sense that our
results cover the range from the standard continuous finite element method to
the standard discontinuous Galerkin (DG) method with (or without) local subcell
enrichment. Numerical experiments confirm our analytical results and indicate
good robustness of the proposed method.

5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat