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Update paper.md
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Co-authored-by: Sandro Elsweijer <[email protected]>
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jmark and sandro-elsweijer authored May 10, 2024
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Expand Up @@ -129,13 +129,14 @@ stores only a minimal amount of information about the finest elements of the mes
the leaves of the trees - in order to reconstruct the whole forest.

By enumerating the leaves in a recursive refinement pattern we obtain a
space-filling curve (SFC) logic. Via these SFCs, all elements in a refinement
space-filling curve (SFC) logic. Via these SFC, all elements in a refinement
tree are assigned an index and are stored in the linear order of these indices.
Information such as coordinates or element neighbors do not need to be stored
explicitly but can be deducted from the index and the appropriate information
of the coarse mesh. The forest mesh can be distributed across multiple
processes, so that each one only stores a unique portion of the forest mesh.
See \autoref{fig:SpaceFillingCurves}.
of the coarse mesh. Fast bitwise and integer-based SFC operations ensure optimal
runtimes and diminish the need of memory lookups. Moreover, the SFC is used to
distribute the forest mesh across multiple processes, so that each one only stores
a unique portion of the forest mesh. See \autoref{fig:SpaceFillingCurves}.

While being successfully applied to quadrilateral
and hexahedral meshes [@burstedde_p4est_2011; @weinzierl_peano_2019],
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