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Hdiv physical gradients #4529

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Hdiv physical gradients #4529

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45803c7
Guard use of max_new_nodes_per_elem
lindsayad Aug 20, 2026
41d76d3
Implement H(div) physical gradient calcs via contravariant Piola tran…
lindsayad Aug 20, 2026
d6a6ffd
Run bootstrap
lindsayad Aug 20, 2026
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26 changes: 14 additions & 12 deletions include/fe/hdiv_fe_transformation.h
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Original file line number Diff line number Diff line change
Expand Up @@ -74,19 +74,21 @@ class HDivFETransformation : public FETransformationBase<OutputShape>

/**
* Evaluates shape function gradients in physical coordinates for
* \f$ H(div) \f$ conforming elements.
* \f$ H(div) \f$ conforming elements, via the contravariant Piola
* map's derivative (the gradient of \f$ \phi = J^{-1} (dx/d\xi)
* \hat{\phi} \f$ with respect to physical coordinates). Requires
* \p LIBMESH_ENABLE_SECOND_DERIVATIVES, since the map's own second
* derivatives are needed to differentiate \f$ J^{-1} \f$ and
* \f$ (dx/d\xi) \f$.
*/
virtual void map_dphi(const unsigned int /*dim*/,
const Elem * const /*elem*/,
const std::vector<Point> & /*qp*/,
const FEGenericBase<OutputShape> & /*fe*/,
std::vector<std::vector<typename FEGenericBase<OutputShape>::OutputGradient>> & /*dphi*/,
std::vector<std::vector<OutputShape>> & /*dphidx*/,
std::vector<std::vector<OutputShape>> & /*dphidy*/,
std::vector<std::vector<OutputShape>> & /*dphidz*/) const override
{
libmesh_warning("WARNING: Shape function gradients for HDiv elements are not currently being computed!");
}
virtual void map_dphi(const unsigned int dim,
const Elem * const elem,
const std::vector<Point> & qp,
const FEGenericBase<OutputShape> & fe,
std::vector<std::vector<typename FEGenericBase<OutputShape>::OutputGradient>> & dphi,
std::vector<std::vector<OutputShape>> & dphidx,
std::vector<std::vector<OutputShape>> & dphidy,
std::vector<std::vector<OutputShape>> & dphidz) const override;

#ifdef LIBMESH_ENABLE_SECOND_DERIVATIVES
/**
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