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Partial quadrature functions
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Partial quadrature functions map quadrature points to values. A partial
quadrature function is defined on the quadrature points associated with
a unique material.

Extrapolating quadrature functions at nodes
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Using a so-called :cxx:`GridFunction`, a set of partial quadrature
functions, each associated with a distinct material, can be extrapolated
at nodes:

- the `makeGridFunction` creates the `GridFunction` and the associated
  finite element space.
- the `updateGridFunction` fills the `GridFunction` with the values of
  the partial quadrature functions.

A :cxx:`GridFunction` being an `MFEM` object, the reader may refer to
the `MFEM` documentation for further details. In particular, a
:cxx:`GridFunction` can easily be exported to `Paraview` using
:cxx:`MFEM`'s :cxx:`ParaViewDataCollection`.