Dof description

This set of functions gives a pointer to dof descriptions and tests the compatibility between two dof descriptions. More...

Modules
	Finite element description

Typedefs
typedef dof_description *	getfem::pdof_description
	Type representing a pointer on a dof_description.

Functions
pdof_description	getfem::lagrange_dof (dim_type d)
	Description of a unique dof of lagrange type (value at the node). More...
pdof_description	getfem::derivative_dof (dim_type d, dim_type r)
	Description of a unique dof of derivative type. More...
pdof_description	getfem::second_derivative_dof (dim_type d, dim_type num_der1, dim_type num_der2)
	Description of a unique dof of second derivative type. More...
pdof_description	getfem::normal_derivative_dof (dim_type d)
	Description of a unique dof of normal derivative type (normal derivative at the node, regarding a face). More...
pdof_description	getfem::mean_value_dof (dim_type d)
	Description of a unique dof of mean value type. More...
pdof_description	getfem::global_dof (dim_type d)
	Description of a global dof, i.e. More...
pdof_description	getfem::product_dof (pdof_description pnd1, pdof_description pnd2)
	Product description of the descriptions *pnd1 and *pnd2.
pdof_description	getfem::xfem_dof (pdof_description p, size_type ind)
	Description of a special dof for Xfem.
size_type	getfem::dof_xfem_index (pdof_description)
	Returns the xfem_index of dof (0 for normal dof)
int	getfem::dof_description_compare (pdof_description a, pdof_description b)
	Gives a total order on the dof description compatible with the identification.
bool	getfem::dof_linkable (pdof_description)
	Says if the dof is linkable.
bool	getfem::dof_compatibility (pdof_description, pdof_description)
	Says if the two dofs can be identified.

Detailed Description

This set of functions gives a pointer to dof descriptions and tests the compatibility between two dof descriptions.

A dof description describes a type of dof (Lagrange type, Hermite type ...) in order to be able to say wether two dofs are to be identified or not. The construction of dof type with the tensorial product is taken into account, making the dof_description structure a little bit complex (this structure will probably evoluate in the future).

Function Documentation

lagrange_dof()

pdof_description getfem::lagrange_dof

(

dim_type

d

)

Description of a unique dof of lagrange type (value at the node).

Parameters

d	the dimension of the reference element (2 for triangles, 3 for tetrahedrons ...)

Definition at line 391 of file getfem_fem.cc.

derivative_dof()

pdof_description getfem::derivative_dof	(	dim_type	d,
		dim_type	r
	)

Description of a unique dof of derivative type.

(a derivative at the node).

Parameters

d	the dimension of the reference element.
r	corresponds to the variable number for which the derivative is taken (0 <= r < d)

Definition at line 488 of file getfem_fem.cc.

second_derivative_dof()

pdof_description getfem::second_derivative_dof	(	dim_type	d,
		dim_type	num_der1,
		dim_type	num_der2
	)

Description of a unique dof of second derivative type.

Parameters

d	the dimension of the reference element.
num_der1	corresponds to the variable number for which the first derivative is taken (0 <= r < d)
num_der2	corresponds to the variable number for which the second derivative is taken (0 <= r < d)

Definition at line 497 of file getfem_fem.cc.

normal_derivative_dof()

pdof_description getfem::normal_derivative_dof

(

dim_type

d

)

Description of a unique dof of normal derivative type (normal derivative at the node, regarding a face).

Parameters

d	the dimension of the reference element.

Definition at line 508 of file getfem_fem.cc.

mean_value_dof()

pdof_description getfem::mean_value_dof

(

dim_type

d

)

Description of a unique dof of mean value type.

Parameters

d	the dimension of the reference element.

Definition at line 535 of file getfem_fem.cc.

global_dof()

pdof_description getfem::global_dof

(

dim_type

d

)

Description of a global dof, i.e.

a numbered dof having a global scope.

Parameters

d	the dimension of the reference element.

Definition at line 543 of file getfem_fem.cc.