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Add make_projected_bubble_moment, which projects the bubble onto
polynomials of the given degree and drops the components of lower
degree. What remains is orthogonal to P_{degree-1} and invariant under
the symmetry group of the cell, which is what a constraint functional
annihilating that lower-degree space needs of its weight.
Bernardi-Raugel builds its tangential constraint weight this way
already; move that construction into the helper. Its own scaling is
invariant under the helper's normalization, so the weight is unchanged.
Walkington's face constraint was a cubic interpolating [0, 0, 0, 1] at
four quadrature points, with the rule then truncated to the points where
the result happened to be nonzero. That weight is invariant under the
three rotations of the face but not under the reflections. The
projected bubble is the unique symmetric cubic orthogonal to P_2, so the
truncation is no longer available: the face rule goes from 6 points to
12. The constraint dofs are discarded before the FInAT dual basis is
built, so this is paid once at element construction.
Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
pbrubeck
commented
Sep 18, 2026
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this should live somewhere else
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