Struct CiarletElement 

pub struct CiarletElement<T: RlstScalar, M: Map, TGeo: RlstScalar> { /* private fields */ }

A Ciarlet element

Implementations

impl<T: RlstScalar, M: Map, TGeo: RlstScalar> CiarletElement<T, M, TGeo>

where DynArray<T, 2>: Inverse<Output = DynArray<T, 2>>,

pub fn create( family_name: String, cell_type: ReferenceCellType, degree: usize, value_shape: Vec<usize>, polynomial_coeffs: DynArray<T, 3>, interpolation_points: [Vec<DynArray<TGeo, 2>>; 4], interpolation_weights: [Vec<DynArray<T, 3>>; 4], continuity: Continuity, embedded_superdegree: usize, map: M, ) -> Self

Create a Ciarlet element.

The majority of users will not wish to use this directly, and should insteal call the createfunction for one of the following special cases of a general Ciarlet element:

• crate::ciarlet::lagrange::create: Create a new Lagrange element.
• crate::ciarlet::nedelec::create: Create a new Nedelec element.
• crate::ciarlet::raviart_thomas::create: Create a Raviart-Thomas element.

pub fn degree(&self) -> usize

The polynomial degree

pub fn continuity(&self) -> Continuity

The continuity of the element

pub fn interpolation_points(&self) -> &[Vec<DynArray<TGeo, 2>>; 4]

The interpolation points

pub fn interpolation_weights(&self) -> &[Vec<DynArray<T, 3>>; 4]

The interpolation weights

Trait Implementations

impl<T: RlstScalar, M: Map, TGeo: RlstScalar> Debug for CiarletElement<T, M, TGeo>

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter.

impl<T: RlstScalar, M: Map, TGeoInternal: RlstScalar> FiniteElement for CiarletElement<T, M, TGeoInternal>

type CellType = ReferenceCellType

Cell type

type T = T

The scalar type

fn value_shape(&self) -> &[usize]

The shape of the values returned by functions in $\mathcal{V}$.

fn value_size(&self) -> usize

The number of values returned.

fn cell_type(&self) -> ReferenceCellType

The reference cell type, eg one of Point, Interval, Triangle, etc.

fn dim(&self) -> usize

The number of basis functions.

fn tabulate<TGeo: RlstScalar, Array2Impl: ValueArrayImpl<TGeo, 2>, Array4MutImpl: MutableArrayImpl<T, 4>>( &self, points: &Array<Array2Impl, 2>, nderivs: usize, data: &mut Array<Array4MutImpl, 4>, )

Tabulate the values of the basis functions and their derivatives at a set of points

fn tabulate_array_shape(&self, nderivs: usize, npoints: usize) -> [usize; 4]

Get the required shape for a tabulation array.

fn entity_dofs( &self, entity_dim: usize, entity_number: usize, ) -> Option<&[usize]>

Return the dof indices that are associated with the subentity with index entity_number and dimension entity_dim.

fn entity_closure_dofs( &self, entity_dim: usize, entity_number: usize, ) -> Option<&[usize]>

The DOFs that are associated with a closure of a subentity of the reference cell.

impl<T: RlstScalar, M: Map, TGeoInternal: RlstScalar> MappedFiniteElement for CiarletElement<T, M, TGeoInternal>

type TransformationType = Transformation

Transformation type

fn lagrange_superdegree(&self) -> usize

The smallest degree Lagrange space that contains all possible polynomials of the finite element’s polynomial space.

fn push_forward<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 function values forward to a physical cell.

fn pull_back<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 function values back to the reference cell.

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

The value shape on a physical cell

fn dof_transformation( &self, entity: ReferenceCellType, transformation: Transformation, ) -> Option<&DofTransformation<T>>

The DOF transformation for a sub-entity.

fn apply_dof_permutations<Type>(&self, data: &mut [Type], cell_orientation: i32)

Apply permutation parts of DOF transformations.

fn apply_dof_transformations(&self, data: &mut [T], cell_orientation: i32)

Apply non-permutation parts of DOF transformations.

fn physical_value_size(&self, gdim: usize) -> usize

The value size on a physical cell

fn apply_dof_permutations_and_transformations( &self, data: &mut [Self::T], cell_orientation: i32, )

Apply DOF transformations.