Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Efficient Exascale Discretizations: High-Order Finite Element Methods   Efficient exploitation of exascale architectures requires rethinking of the
numerical algorithms used in many large-scale applications. These architectures
favor algorithms that expose ultra fine-grain parallelism and maximize the
ratio of floating point operations to energy intensive data movement. One of
the few viable approaches to achieve high efficiency in the area of PDE
discretizations on unstructured grids is to use matrix-free/partially-assembled
high-order finite element methods, since these methods can increase the
accuracy and/or lower the computational time due to reduced data motion. In
this paper we provide an overview of the research and development activities in
the Center for Efficient Exascale Discretizations (CEED), a co-design center in
the Exascale Computing Project that is focused on the development of
next-generation discretization software and algorithms to enable a wide range
of finite element applications to run efficiently on future hardware. CEED is a
research partnership involving more than 30 computational scientists from two
US national labs and five universities, including members of the Nek5000, MFEM,
MAGMA and PETSc projects. We discuss the CEED co-design activities based on
targeted benchmarks, miniapps and discretization libraries and our work on
performance optimizations for large-scale GPU architectures. We also provide a
broad overview of research and development activities in areas such as
unstructured adaptive mesh refinement algorithms, matrix-free linear solvers,
high-order data visualization, and list examples of collaborations with several
ECP and external applications.

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The categories of this paper are: funct-an
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org