Namespace ae108::elements::embedding

Namespace List > ae108 > elements > embedding

Embed a point in reference space into physical space. More...

Classes

Type	Name
struct	AutomaticJacobianTrait <class Embedding_>
struct	EmbedTrait <class Embedding>
struct	EmbedTrait< IsoparametricEmbedding< Shape > > <class Shape>
struct	EmbeddingBase <FromDimension_, class ReferencePoint_, ToDimension_, class PhysicalPoint_, class SizeType_, class ValueType_>
class	IsoparametricEmbedding <class Shape> An isoparametric embedding based on shape functions: x(xi) = P * N(xi). Here, P is the matrix of points p_j where N_i(p_j) = delta_ij and N is the vector of shape functions.
struct	JacobianTrait <class Embedding>
struct	JacobianTrait< IsoparametricEmbedding< Shape > > <class Shape>

Public Functions

Type	Name
AutomaticJacobianTrait< Embedding >::template Jacobian< Embedding >	automatic_jacobian (const Embedding & embedding, const typename Embedding::ReferencePoint & point) Computes the Jacobian using numerical differentiation of the embedding.
JacobianTrait< Embedding >::template Jacobian< Embedding >	compute_jacobian (const Embedding & embedding, const typename Embedding::ReferencePoint & point)
Embedding::PhysicalPoint	embed_point (const Embedding & embedding, const typename Embedding::ReferencePoint & point)

Detailed Description

Provides a trait to embed a point in reference space into physical space and a trait to compute the Jacobian of this transformation. There is also a trait to compute the Jacobian numerically.

These traits are implemented for the IsoparametricEmbedding which uses a set of shape functions to embed an element into physical space.

Public Functions Documentation

function automatic_jacobian

Computes the Jacobian using numerical differentiation of the embedding.

template<class Embedding>
AutomaticJacobianTrait < Embedding >::template Jacobian< Embedding > ae108::elements::embedding::automatic_jacobian (
    const Embedding & embedding,
    const typename Embedding::ReferencePoint & point
) 

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function compute_jacobian

template<class Embedding>
JacobianTrait < Embedding >::template Jacobian< Embedding > ae108::elements::embedding::compute_jacobian (
    const Embedding & embedding,
    const typename Embedding::ReferencePoint & point
) 

---

function embed_point

template<class Embedding>
Embedding::PhysicalPoint ae108::elements::embedding::embed_point (
    const Embedding & embedding,
    const typename Embedding::ReferencePoint & point
) 

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The documentation for this class was generated from the following file elements/src/include/ae108/elements/embedding/automatic_jacobian.h