class final

Vector valued Lagrange finite element space.

Represents the finite element space composed of dimensional vector valued, continuous, piecewise linear functions:

This class is vector valued, i.e. evaluations of the function are of Math::Vector<Real> type.

Base classes

template<class Derived> class FiniteElementSpace<P1<Math::Vector<Real>, Geometry::Mesh<Context::Sequential>>>: Represernts a finite element space.

using RangeType = Math::Vector<ScalarType>: Range type of value.
using MeshType = Geometry::Mesh<Context::Sequential>: Type of mesh on which the finite element space is built.
using ContextType = Context::Sequential: Represents the Context of the P1 space.
using ElementType = P1Element<RangeType>: Type of finite element.
using Parent = FiniteElementSpace<P1<RangeType, MeshType>>: Parent class.

auto getSize() const -> size_t override: Gets the total number of degrees of freedom.
auto getVectorDimension() const -> size_t override: Gets the dimension of the range space, i.e. the number of components of each basis function.
auto getMesh() const -> const Geometry::Mesh<ContextType>& override: Gets the constant reference to the mesh upon which the finite element space is built on.
auto getDOFs(size_t d, Index i) const -> const IndexArray& override: Gets a set of global degree of freedom indices associated to the polytope of dimension and index .
auto getGlobalIndex(const std::pair<size_t, Index>& idx, Index local) const -> Index override: Gets the global index for the local degree of freedom on the -polytope.

Gets the total number of degrees of freedom.

Returns	Size of the finite element space

Gets the dimension of the range space, i.e. the number of components of each basis function.

Returns	Vector dimension of the finite element space.

Gets the constant reference to the mesh upon which the finite element space is built on.

Returns	Constant reference to mesh

Gets a set of global degree of freedom indices associated to the polytope of dimension and index .

Returns	Set of indices associated to the -polytope.

Gets the global index for the local degree of freedom on the -polytope.

Parameters
idx in	Pair representing the -polytope.
local in	Local degree of freedom index.