WeakForm Class Reference

Represents the weak formulation of a problem. More...

#include <weakform.h>

Classes
struct	Area
struct	BiFormSurf
struct	BiFormVol
struct	JacFormSurf
struct	JacFormVol
struct	LiFormSurf
struct	LiFormVol
struct	ResFormSurf
struct	ResFormVol
struct	Stage
Public Types
typedef scalar(*	biform_val_t )(int n, double wt, Func< double > u, Func< double > v, Geom< double > e, ExtData< scalar > *)
typedef Ord(*	biform_ord_t )(int n, double wt, Func< Ord > u, Func< Ord > v, Geom< Ord > e, ExtData< Ord > *)
typedef scalar(*	liform_val_t )(int n, double wt, Func< double > v, Geom< double > e, ExtData< scalar > v_ext_fnc)
typedef Ord(*	liform_ord_t )(int n, double wt, Func< Ord > v, Geom< Ord > e, ExtData< Ord > v_ext_fnc)
typedef scalar(*	liform_val_extended_t )(int n, double wt, Func< double > v, Geom< double > e, ExtData< scalar > v_ext_fnc, Element element, Shapeset shape_set, int shape_inx)
typedef Ord(*	liform_ord_extended_t )(int n, double wt, Func< Ord > v, Geom< Ord > e, ExtData< Ord > v_ext_fnc, Element element, Shapeset shape_set, int shape_inx)
typedef scalar(*	jacform_val_t )(int n, double wt, Func< scalar > u[], Func< double > vi, Func< double > vj, Geom< double > e, ExtData< scalar > )
typedef Ord(*	jacform_ord_t )(int n, double wt, Func< Ord > u[], Func< Ord > vi, Func< Ord > vj, Geom< Ord > e, ExtData< Ord > )
typedef scalar(*	resform_val_t )(int n, double wt, Func< scalar > u[], Func< double > vi, Geom< double > e, ExtData< scalar > *)
typedef Ord(*	resform_ord_t )(int n, double wt, Func< Ord > u[], Func< Ord > vi, Geom< Ord > e, ExtData< Ord > *)
Public Member Functions
	WeakForm (int neq=1, bool mat_free=false)
int	def_area (int n,...)
void	add_biform (int i, int j, biform_val_t fn, biform_ord_t ord, SymFlag sym=H2D_UNSYM, int area=H2D_ANY, int nx=0,...)
void	add_biform (biform_val_t fn, biform_ord_t ord, SymFlag sym=H2D_UNSYM, int area=H2D_ANY, int nx=0,...)
void	add_biform_surf (int i, int j, biform_val_t fn, biform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_biform_surf (biform_val_t fn, biform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_liform (int i, liform_val_t fn, liform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_liform (liform_val_t fn, liform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_liform_surf (int i, liform_val_t fn, liform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_liform_surf (liform_val_t fn, liform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_liform (int i, liform_val_extended_t fn, liform_ord_extended_t ord, int area=H2D_ANY, int nx=0,...)
void	add_liform (liform_val_extended_t fn, liform_ord_extended_t ord, int area=H2D_ANY, int nx=0,...)
void	add_jacform (int i, int j, jacform_val_t fn, jacform_ord_t ord, SymFlag sym=H2D_UNSYM, int area=H2D_ANY, int nx=0,...)
void	add_jacform (jacform_val_t fn, jacform_ord_t ord, SymFlag sym=H2D_UNSYM, int area=H2D_ANY, int nx=0,...)
void	add_jacform_surf (int i, int j, jacform_val_t fn, jacform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_jacform_surf (jacform_val_t fn, jacform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_resform (int i, resform_val_t fn, resform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_resform (resform_val_t fn, resform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_resform_surf (int i, resform_val_t fn, resform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	add_resform_surf (resform_val_t fn, resform_ord_t ord, int area=H2D_ANY, int nx=0,...)
void	set_ext_fns (void *fn, int nx,...)
int	get_seq () const
	Internal. Used by LinSystem to detect changes in the weakform.
bool	is_matrix_free ()
Protected Member Functions
	H2D_API_USED_STL_VECTOR (Area)
	H2D_API_USED_STL_VECTOR (MeshFunction *)
	H2D_API_USED_STL_VECTOR (BiFormVol)
	H2D_API_USED_STL_VECTOR (BiFormSurf)
	H2D_API_USED_STL_VECTOR (LiFormVol)
	H2D_API_USED_STL_VECTOR (LiFormSurf)
void	get_stages (Space **spaces, std::vector< Stage > &stages, bool rhsonly)
bool **	get_blocks ()
	Returns a (neq x neq) array containing true in each element, if the corresponding block of weak forms is used, and false otherwise.
bool	is_in_area (int marker, int area) const
bool	is_sym () const
Protected Attributes
int	neq
int	seq
bool	is_matfree
std::vector< Area >	areas
std::vector< BiFormVol >	bfvol
std::vector< BiFormSurf >	bfsurf
std::vector< LiFormVol >	lfvol
std::vector< LiFormSurf >	lfsurf
std::vector< JacFormVol >	jfvol
std::vector< JacFormSurf >	jfsurf
std::vector< ResFormVol >	rfvol
std::vector< ResFormSurf >	rfsurf
Friends
class	LinSystem
class	NonlinSystem
class	RefSystem
class	RefNonlinSystem
class	FeProblem
class	Precond

Detailed Description

Represents the weak formulation of a problem.

The WeakForm class represents the weak formulation of a system of linear PDEs. The number of equations ("neq") in the system is fixed and is passed to the constructor. The weak formulation of the system A(U,V) = L(V) has a block structure. A(U,V) is a (neq x neq) matrix of bilinear forms a_mn(u,v) and L(V) is a neq-component vector of linear forms l(v). U and V are the vectors of basis and test functions.

Member Typedef Documentation

typedef Ord(* WeakForm::biform_ord_t)(int n, double *wt, Func< Ord > *u, Func< Ord > *v, Geom< Ord > *e, ExtData< Ord > *)

typedef scalar(* WeakForm::biform_val_t)(int n, double *wt, Func< double > *u, Func< double > *v, Geom< double > *e, ExtData< scalar > *)

typedef Ord(* WeakForm::jacform_ord_t)(int n, double *wt, Func< Ord > *u[], Func< Ord > *vi, Func< Ord > *vj, Geom< Ord > *e, ExtData< Ord > *)

typedef scalar(* WeakForm::jacform_val_t)(int n, double *wt, Func< scalar > *u[], Func< double > *vi, Func< double > *vj, Geom< double > *e, ExtData< scalar > *)

typedef Ord(* WeakForm::liform_ord_extended_t)(int n, double *wt, Func< Ord > *v, Geom< Ord > *e, ExtData< Ord > *v_ext_fnc, Element *element, Shapeset *shape_set, int shape_inx)

typedef Ord(* WeakForm::liform_ord_t)(int n, double *wt, Func< Ord > *v, Geom< Ord > *e, ExtData< Ord > *v_ext_fnc)

typedef scalar(* WeakForm::liform_val_extended_t)(int n, double *wt, Func< double > *v, Geom< double > *e, ExtData< scalar > *v_ext_fnc, Element *element, Shapeset *shape_set, int shape_inx)

typedef scalar(* WeakForm::liform_val_t)(int n, double *wt, Func< double > *v, Geom< double > *e, ExtData< scalar > *v_ext_fnc)

typedef Ord(* WeakForm::resform_ord_t)(int n, double *wt, Func< Ord > *u[], Func< Ord > *vi, Geom< Ord > *e, ExtData< Ord > *)

typedef scalar(* WeakForm::resform_val_t)(int n, double *wt, Func< scalar > *u[], Func< double > *vi, Geom< double > *e, ExtData< scalar > *)

Constructor & Destructor Documentation

WeakForm::WeakForm	(	int	neq = `1`,
		bool	mat_free = `false`
	)

Member Function Documentation

void WeakForm::add_biform	(	biform_val_t	fn,
		biform_ord_t	ord,
		SymFlag	sym = `H2D_UNSYM`,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_biform	(	int	i,
		int	j,
		biform_val_t	fn,
		biform_ord_t	ord,
		SymFlag	sym = `H2D_UNSYM`,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_biform_surf	(	biform_val_t	fn,
		biform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_biform_surf	(	int	i,
		int	j,
		biform_val_t	fn,
		biform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_jacform	(	jacform_val_t	fn,
		jacform_ord_t	ord,
		SymFlag	sym = `H2D_UNSYM`,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_jacform	(	int	i,
		int	j,
		jacform_val_t	fn,
		jacform_ord_t	ord,
		SymFlag	sym = `H2D_UNSYM`,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_jacform_surf	(	jacform_val_t	fn,
		jacform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_jacform_surf	(	int	i,
		int	j,
		jacform_val_t	fn,
		jacform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_liform	(	liform_val_extended_t	fn,
		liform_ord_extended_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_liform	(	int	i,
		liform_val_extended_t	fn,
		liform_ord_extended_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_liform	(	liform_val_t	fn,
		liform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_liform	(	int	i,
		liform_val_t	fn,
		liform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_liform_surf	(	liform_val_t	fn,
		liform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_liform_surf	(	int	i,
		liform_val_t	fn,
		liform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_resform	(	resform_val_t	fn,
		resform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_resform	(	int	i,
		resform_val_t	fn,
		resform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_resform_surf	(	resform_val_t	fn,
		resform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

void WeakForm::add_resform_surf	(	int	i,
		resform_val_t	fn,
		resform_ord_t	ord,
		int	area = `H2D_ANY`,
		int	nx = `0`,
			...
	)

int WeakForm::def_area	(	int	n,
			...
	)

bool ** WeakForm::get_blocks ( ) [protected]

Returns a (neq x neq) array containing true in each element, if the corresponding block of weak forms is used, and false otherwise.

int WeakForm::get_seq ( ) const [inline]

Internal. Used by LinSystem to detect changes in the weakform.

void WeakForm::get_stages	(	Space **	spaces,
		std::vector< Stage > &	stages,
		bool	rhsonly
	)			`[protected]`

WeakForm::H2D_API_USED_STL_VECTOR ( LiFormSurf ) [protected]

WeakForm::H2D_API_USED_STL_VECTOR ( LiFormVol ) [protected]

WeakForm::H2D_API_USED_STL_VECTOR ( BiFormSurf ) [protected]

WeakForm::H2D_API_USED_STL_VECTOR ( BiFormVol ) [protected]

WeakForm::H2D_API_USED_STL_VECTOR ( MeshFunction * ) [protected]

WeakForm::H2D_API_USED_STL_VECTOR ( Area ) [protected]

bool WeakForm::is_in_area	(	int	marker,
		int	area
	)			const `[inline, protected]`

bool WeakForm::is_matrix_free ( ) [inline]

bool WeakForm::is_sym ( ) const [inline, protected]

void WeakForm::set_ext_fns	(	void *	fn,
		int	nx,
			...
	)

Friends And Related Function Documentation

friend class FeProblem [friend]

friend class LinSystem [friend]

friend class NonlinSystem [friend]

friend class Precond [friend]

friend class RefNonlinSystem [friend]

friend class RefSystem [friend]

Member Data Documentation

std::vector<Area> WeakForm::areas [protected]

std::vector<BiFormSurf> WeakForm::bfsurf [protected]

std::vector<BiFormVol> WeakForm::bfvol [protected]

bool WeakForm::is_matfree [protected]

std::vector<JacFormSurf> WeakForm::jfsurf [protected]

std::vector<JacFormVol> WeakForm::jfvol [protected]

std::vector<LiFormSurf> WeakForm::lfsurf [protected]

std::vector<LiFormVol> WeakForm::lfvol [protected]

int WeakForm::neq [protected]

std::vector<ResFormSurf> WeakForm::rfsurf [protected]

std::vector<ResFormVol> WeakForm::rfvol [protected]

int WeakForm::seq [protected]

The documentation for this class was generated from the following files:

/var/www2/hermes2d/hermes2d/src/weakform.h
/var/www2/hermes2d/hermes2d/src/weakform.cpp

WeakForm Class Reference

Classes

Public Types

Public Member Functions

Protected Member Functions