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@pbrubeck pbrubeck commented Mar 21, 2025

This PR enables variant="mimetic" for the de Rham complex on quads/hexes ("Q", "NCE", "NCF", "DQ").

This is the element variant required for Low-Order-Refined equivalent preconditioners (a.k.a. connect-the-dots). See https://epubs.siam.org/doi/full/10.1137/22M1486534

The "Q" variant is just the tensor product of GLL. The DQ variant is the tensor product of basis functions dual to histopolation on the GLL subgrid. Histopolation degrees of freedom are integral averages on an interval, in this case between consecutive GLL nodes.

Supersedes FInAT/FInAT#54

@pbrubeck pbrubeck force-pushed the pbrubeck/histopolation branch from 9f9e525 to 73ffcd2 Compare March 25, 2025 12:40
@dham dham merged commit 4ca4d68 into master Apr 2, 2025
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@dham dham deleted the pbrubeck/histopolation branch April 2, 2025 15:55
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3 participants