Trait fenris::element::FiniteElement

pub trait FiniteElement<T>: ReferenceFiniteElement<T> where
    T: Scalar,
    DefaultAllocator: FiniteElementAllocator<T, Self::GeometryDim, Self::ReferenceDim>, {
    type GeometryDim: SmallDim;
    fn reference_jacobian(
        &self, 
        reference_coords: &OPoint<T, Self::ReferenceDim>
    ) -> OMatrix<T, Self::GeometryDim, Self::ReferenceDim>;
    fn map_reference_coords(
        &self, 
        reference_coords: &OPoint<T, Self::ReferenceDim>
    ) -> OPoint<T, Self::GeometryDim>;
    fn diameter(&self) -> T;
}

Associated Types

type GeometryDim: SmallDim

Required methods

fn reference_jacobian(
    &self,
    reference_coords: &OPoint<T, Self::ReferenceDim>
) -> OMatrix<T, Self::GeometryDim, Self::ReferenceDim>

Compute the Jacobian of the transformation from the reference element to the given element at the given reference coordinates.

fn map_reference_coords(
    &self,
    reference_coords: &OPoint<T, Self::ReferenceDim>
) -> OPoint<T, Self::GeometryDim>

Maps reference coordinates to physical coordinates in the element.

fn diameter(&self) -> T

The diameter of the finite element.

The diameter of a finite element is defined as the largest distance between any two points in the element, i.e. h = min |x - y| for x, y in K where K is the element and h is the diameter.

Implementors

impl<'a, T, Space> FiniteElement<T> for ElementInSpace<'a, Space> where
    T: Scalar,
    Space: FiniteElementSpace<T>,
    DefaultAllocator: FiniteElementAllocator<T, Space::GeometryDim, Space::ReferenceDim>, 

type GeometryDim = Space::GeometryDim

impl<T> FiniteElement<T> for Hex8Element<T> where
    T: RealField, 

type GeometryDim = U3

impl<T> FiniteElement<T> for Hex20Element<T> where
    T: RealField, 

type GeometryDim = U3

impl<T> FiniteElement<T> for Hex27Element<T> where
    T: RealField, 

type GeometryDim = U3

impl<T> FiniteElement<T> for Quad4d2Element<T> where
    T: RealField, 

type GeometryDim = U2

impl<T> FiniteElement<T> for Quad9d2Element<T> where
    T: RealField, 

type GeometryDim = U2

impl<T> FiniteElement<T> for Segment2d2Element<T> where
    T: RealField, 

type GeometryDim = U2

impl<T> FiniteElement<T> for Tet4Element<T> where
    T: RealField, 

type GeometryDim = U3

impl<T> FiniteElement<T> for Tet10Element<T> where
    T: RealField, 

type GeometryDim = U3

impl<T> FiniteElement<T> for Tet20Element<T> where
    T: RealField, 

type GeometryDim = U3

impl<T> FiniteElement<T> for Tri3d2Element<T> where
    T: RealField, 

type GeometryDim = U2

impl<T> FiniteElement<T> for Tri3d3Element<T> where
    T: RealField, 

type GeometryDim = U3

impl<T> FiniteElement<T> for Tri6d2Element<T> where
    T: RealField, 

type GeometryDim = U2