shapeset.hpp File Reference

Definition of shape function sets. More...

#include "../tmp/algorithm.hpp"
#include "../tmp/vector.hpp"
#include "../util/conditional_precompute.hpp"
#include "../util/materialize_sequence.hpp"
#include "domain.hpp"
#include <iostream>
#include <stdexcept>
#include <type_traits>

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Classes
struct	NiHu::position_dof< d >
	position degree of freedom of a point in the intrinsic domain More...
struct	NiHu::corner_index< index >
class	NiHu::shape_function< Derived, Order >
struct	NiHu::shape_set_traits::name< Derived >
	The shape set's textual id - used for debug information. More...
struct	NiHu::shape_set_traits::domain< Derived >
	Defines the domain where the shape function set is defined. More...
struct	NiHu::shape_set_traits::num_nodes< Derived >
	Defines the number of shape functions in the set. More...
struct	NiHu::shape_set_traits::id< Derived >
	Assigns an id to the shape set. More...
struct	NiHu::shape_set_traits::polynomial_order< Derived >
	Defines the polynomial order of the shape set. More...
struct	NiHu::shape_set_traits::jacobian_order< Derived >
	Defines the polynomial order of the shape set's Jacobian. More...
struct	NiHu::shape_set_traits::shape_complexity< Derived, Order >
	Defines the complexity to determine if the shape functions can be precomputed or not. More...
struct	NiHu::shape_set_traits::shape_value_type< Derived, Order >
	Defines the value type of the shape function matrix (and derivatives) More...
struct	NiHu::shape_set_traits::factory_functor< Derived, Order >
	Defines the factory functor that computes or stores the shape functions. More...
struct	NiHu::shape_set_traits::shape_return_type< Derived, Order >
	Defines the return type of the shape function matrix. More...
struct	NiHu::shape_set_traits::position_dof_vector< Derived >
	defines the nodal degrees of freedoms of the shape functions More...
struct	NiHu::shape_set_traits::position_dof_vector_mat< Derived >
	the materialized position vector type More...
struct	NiHu::shape_set_traits::corner_index_vector< Derived >
struct	NiHu::shape_set_traits::corner_index_vector_mat< Derived >
	the materialized corner index vector type More...
class	NiHu::shape_set_base< Derived >
	Shapeset base class for CRTP. More...
struct	NiHu::shape_set_base< Derived >::shape_value_type< Order >
	type of an \(L(\xi)\) vector More...
class	NiHu::constant_shape_set< Domain >
	Constant interpolation functions. More...
struct	NiHu::shape_set_traits::domain< constant_shape_set< Domain > >
struct	NiHu::shape_set_traits::num_nodes< constant_shape_set< Domain > >
struct	NiHu::shape_set_traits::polynomial_order< constant_shape_set< Domain > >
struct	NiHu::shape_set_traits::jacobian_order< constant_shape_set< Domain > >
struct	NiHu::shape_set_traits::shape_complexity< constant_shape_set< Domain >, 0 >
struct	NiHu::shape_set_traits::shape_complexity< constant_shape_set< Domain >, 1 >
struct	NiHu::shape_set_traits::shape_complexity< constant_shape_set< Domain >, 2 >
struct	NiHu::shape_set_traits::position_dof_vector< constant_shape_set< Domain > >
struct	NiHu::shape_set_traits::corner_index_vector< constant_shape_set< Domain > >
class	NiHu::constant_shape_set< Domain >
	Constant interpolation functions. More...
class	NiHu::shape_function< constant_shape_set< Domain >, 0 >
class	NiHu::shape_function< constant_shape_set< Domain >, 1 >
class	NiHu::shape_function< constant_shape_set< Domain >, 2 >
class	NiHu::isoparam_shape_set< Domain >
	Isoparametric shape sets. More...
struct	NiHu::shape_set_traits::domain< isoparam_shape_set< Domain > >
struct	NiHu::shape_set_traits::num_nodes< isoparam_shape_set< Domain > >
struct	NiHu::shape_set_traits::polynomial_order< isoparam_shape_set< Domain > >
struct	NiHu::shape_set_traits::position_dof_vector< isoparam_shape_set< Domain > >
struct	NiHu::shape_set_traits::corner_index_vector< isoparam_shape_set< Domain > >
class	NiHu::isoparam_shape_set< Domain >
	Isoparametric shape sets. More...

Namespaces
	NiHu::shape_derivative_index
	shape function derivative indices These indices are used to index the first and second derivatives of the shape functions.
	NiHu::shape_set_traits
	Traits of shape function sets.

Typedefs
typedef position_dof< 0 >	NiHu::dof0
	shorthand for 0 dof
typedef position_dof< 1 >	NiHu::dof1
	shorthand for 1 dof
typedef position_dof< 2 >	NiHu::dof2
	shorthand for 2 dof
typedef position_dof< 3 >	NiHu::dof3
	shorthand for 3 dof
typedef corner_index<-1 >	NiHu::not_corner

Enumerations
enum	{   NiHu::shape_derivative_index::dXI = 0, NiHu::shape_derivative_index::dETA = 1, NiHu::shape_derivative_index::dXIXI = 0, NiHu::shape_derivative_index::dXIETA = 1,   NiHu::shape_derivative_index::dETAXI = 1, NiHu::shape_derivative_index::dETAETA = 2 }

Functions
constexpr unsigned	NiHu::num_derivatives (unsigned order, unsigned dim)
	return the number of partial derivatives in dim dimensions In 1D there is one partial derivative and one second partial derivative. In 2D there are two partial derivatives and four second derivatives, but because of symmetry, the actual number of different second derivatives is 3.

Detailed Description

Definition of shape function sets.

Definition in file shapeset.hpp.