A 32x32-element mesh with an initial piecewise constant (p = 0)
approximation
is enriched with piecewise linear ((p = 1), quadratic (p = 2),
and cubic (p = 3) elements along a front. An element's color
indicates its polynomial degree; red = 0, green = 1, blue = 2, magenta = 3.
The resulting mesh is divided evenly among 16 processors, with subdomain
boundaries indicated in white. In the decomposition, each element is
weighted by its work load (proportional to its polynomial degree). Thus,
processors owning high-order elements have far fewer elements than processors
owning only low-order elements.