Struct ContravariantPiolaMap 

pub struct ContravariantPiolaMap {}

Contravariant Piola map.

Let $F$ be the map from the reference cell to the physical cell and let $J$ be its Jacobian. Let $\Phi$ be the function values on the reference cell. The contravariant Piola map is defined by $$ \frac{1}{\det{J}}J\Phi\circ F^{-1} $$ The contravariant Piola map preserves normal continuity. If $J$ is a rectangular matrix then $\sqrt{\det{J^TJ}}$ is used instead of $\det{J}$.

Trait Implementations

impl Map for ContravariantPiolaMap

fn push_forward<T: RlstScalar, TGeo: RlstScalar, Array3GeoImpl: ValueArrayImpl<TGeo, 3>, Array4Impl: ValueArrayImpl<T, 4>, Array4MutImpl: MutableArrayImpl<T, 4>>( &self, reference_values: &Array<Array4Impl, 4>, nderivs: usize, jacobians: &Array<Array3GeoImpl, 3>, jacobian_determinants: &[TGeo], _inverse_jacobians: &Array<Array3GeoImpl, 3>, physical_values: &mut Array<Array4MutImpl, 4>, )

Push values from the reference cell to physical cells.

fn pull_back<T: RlstScalar, TGeo: RlstScalar, Array3GeoImpl: ValueArrayImpl<TGeo, 3>, Array4Impl: ValueArrayImpl<T, 4>, Array4MutImpl: MutableArrayImpl<T, 4>>( &self, physical_values: &Array<Array4Impl, 4>, nderivs: usize, _jacobians: &Array<Array3GeoImpl, 3>, jacobian_determinants: &[TGeo], inverse_jacobians: &Array<Array3GeoImpl, 3>, reference_values: &mut Array<Array4MutImpl, 4>, )

Pull values back to the reference cell.

fn physical_value_shape(&self, gdim: usize) -> Vec<usize>

The value shape on a physical cell.