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Project HDiv function to L2 FacetFESpace

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4 years 9 months ago #1711 by pratyuksh
Project HDiv function to L2 FacetFESpace was created by pratyuksh
Hello

In the stabilization for the diffusion operator in Navier-Stokes equation, if we use Raviart-Thomas HDiv basis, the projection of functions in HDiv (say order 'k') to the L2 space (order 'k-1') on facets is needed. How do we get this projection in ngsolve?

Thank you.
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4 years 9 months ago #1726 by joachim
Replied by joachim on topic Project HDiv function to L2 FacetFESpace
Hi,

I just updated the tutorials to explain how we implement the projection, see
ngsolve.org/docu/nightly/i-tutorials/unit-2.8-DG/DG.html ,
section Projected Jumps.

Try also help(FacetFESpace).

The same works for H(div)-conforming HDG, with a TangentialFacetFESpace.

The theory behind is in Lehrenfeld-Schöberl: High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows, CMAME, Vol 307, p 339-361, 2016.

best, Joachim
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