Finite element matrix generators.

Finite element matrix generators, right-parts generators. More...

Classes
struct	phelm::Element
	Destination of this structure is finite-element matrix changing. More...
Typedefs
typedef std::vector< Element >	phelm::elements_t
	Elements vector.
Functions
template<typename Functor , typename Data >
void	phelm::generate_matrix (Matrix &A, const Mesh &m, Functor integrate_cb, Data user_data, bool transpose=false)
	Generate finite element matrix.
template<typename Functor , typename Data >
void	phelm::generate_full_matrix (Matrix &A, const Mesh &m, Functor integrate_cb, Data user_data, bool transpose=false)
	Generate full finite-elements matrix.
template<typename Functor , typename Data >
void	phelm::generate_right_part (double *b, const Mesh &m, Functor right_part_cb, Data user_data)
	Generate right part.
template<typename Functor , typename Data >
void	phelm::generate_full_right_part (double *b, const Mesh &m, Functor right_part_cb, Data user_data)
	Generate full right part.
template<typename Functor , typename Data >
void	phelm::generate_boundary_matrix (Matrix &A, const Mesh &m, Functor right_part_cb, Data user_data, bool transpose=false)
	Generate boundary conditions matrix.
template<typename Functor , typename Data >
void	phelm::convolution (double *ans, const double *u, const double *v, const Mesh &m, Functor cb, Data user_data)
	Convolution.

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Detailed Description

Finite element matrix generators, right-parts generators.

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Typedef Documentation

typedef std::vector< Element > phelm::elements_t

Elements vector.

If one wants to change multiple entries of finite-element matrix or finite-element right part he should return that vector in callback.

See also:

generate_matrix, generate_right_part, test_system_laplace::cpp

Definition at line 85 of file phelm_generators.h.

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Function Documentation

template<typename Functor , typename Data >

void phelm::convolution	(	double *	ans,
		const double *	u,
		const double *	v,
		const Mesh &	m,
		Functor	cb,
		Data	user_data
	)			[inline]

Convolution.

Parameters:

	ans	- answer
	u	- mesh vector
	v	- mesh vector
	m	- mesh
	cb	- callback that calculates inner product of two basis functions on a triangle

See also:

generic_scalar_cb, sphere_scalar_cb

Parameters:

user_data

- user data that is passed to callback

Definition at line 440 of file phelm_generators.h.

template<typename Functor , typename Data >

void phelm::generate_boundary_matrix	(	Matrix &	A,
		const Mesh &	m,
		Functor	right_part_cb,
		Data	user_data,
		bool	transpose = false
	)			[inline]

Generate boundary conditions matrix.

The size of matrix is inner.size() x outer.size(). Callback parameters: j in boundary point, i is inner point

Parameters:

	A	- output matrix.
	m	- mesh
	right_part_cb	- callback that calculates inner product of two basis functions on a triangle

See also:

generic_scalar_cb, sphere_scalar_cb

Parameters:

	user_data	- user data
	transpose	- generate transposed matrix?

Definition at line 394 of file phelm_generators.h.

template<typename Functor , typename Data >

void phelm::generate_full_matrix	(	Matrix &	A,
		const Mesh &	m,
		Functor	integrate_cb,
		Data	user_data,
		bool	transpose = false
	)			[inline]

Generate full finite-elements matrix.

Parameters:

	A	- output matrix
	m	- mesh
	integrate_cb	- callback that calculates inner product of two basis functions on a triangle

See also:

generic_scalar_cb, sphere_scalar_cb

Parameters:

	user_data	- user data
	transpose	- generate transposed matrix ?

Definition at line 250 of file phelm_generators.h.

template<typename Functor , typename Data >

void phelm::generate_full_right_part	(	double *	b,
		const Mesh &	m,
		Functor	right_part_cb,
		Data	user_data
	)			[inline]

Generate full right part.

Parameters:

	b	- output right part vector
	m	- mesh
	right_part_cb	- callback that calculates inner product of two basis functions on a triangle

See also:

generic_scalar_cb, sphere_scalar_cb

Parameters:

user_data

- user data

Definition at line 341 of file phelm_generators.h.

template<typename Functor , typename Data >

void phelm::generate_matrix	(	Matrix &	A,
		const Mesh &	m,
		Functor	integrate_cb,
		Data	user_data,
		bool	transpose = false
	)			[inline]

Generate finite element matrix.

Call integrate_cb for all phi_i, phi_j that are defined at shared point in triangle tr. If flag transpose is set then generate transposed matrix

Callback parameters:

• const Polynom & phi_i,
• const Polynom & phi_j,
• const Triangle & tr - triangle,
• const Mesh & mesh - mesh,
• int point_i - global point number,
• int point_j - global point number ,
• int i - number of row in matrix (inner point number),
• int j - number of columnt in matrix (inner point number),
• void * user_data - user data

Parameters:

	A	- output matrix
	m	- mesh
	integrate_cb	- callback that calculates inner product of two basis functions on a triangle

See also:

generic_scalar_cb, sphere_scalar_cb

Parameters:

	user_data	- user data
	transpose	- generate transposed matrix ?

Examples:

test_system_laplace.cpp.

Definition at line 199 of file phelm_generators.h.

template<typename Functor , typename Data >

void phelm::generate_right_part	(	double *	b,
		const Mesh &	m,
		Functor	right_part_cb,
		Data	user_data
	)			[inline]

Generate right part.

Parameters:

	b	- output right part vector
	m	- mesh
	right_part_cb	- callback that calculates inner product of two basis functions on a triangle

See also:

generic_scalar_cb, sphere_scalar_cb

Parameters:

user_data

- user data

Examples:

test_system_laplace.cpp.

Definition at line 290 of file phelm_generators.h.