General Purpose Equations

Gathers equation related classes. More...

Classes
class	Equa
	Mother abstract class to describe equation. More...
class	Equation< NEN_, NEE_, NSN_, NSE_ >
	Abstract class for all equation classes. More...
class	Estimator
	To calculate an a posteriori estimator of the solution. More...

Functions
template<class T_ , size_t N_, class E_ >
void	element_assembly (const E_ &e, const LocalVect< T_, N_ > &be, Vect< T_ > &b)
	Assemble local vector into global vector. More...
template<class T_ , size_t N_, class E_ >
void	element_assembly (const E_ &e, const LocalMatrix< T_, N_, N_ > &ae, Vect< T_ > &b)
	Assemble diagonal local vector into global vector. More...
template<class T_ , size_t N_, class E_ >
void	element_assembly (const E_ &e, const LocalMatrix< T_, N_, N_ > &ae, Matrix< T_ > *A)
	Assemble local matrix into global matrix. More...
template<class T_ , size_t N_, class E_ >
void	element_assembly (const E_ &e, const LocalMatrix< T_, N_, N_ > &ae, SkMatrix< T_ > &A)
	Assemble local matrix into global skyline matrix. More...
template<class T_ , size_t N_, class E_ >
void	element_assembly (const E_ &e, const LocalMatrix< T_, N_, N_ > &ae, SkSMatrix< T_ > &A)
	Assemble local matrix into global symmetric skyline matrix. More...
template<class T_ , size_t N_, class E_ >
void	element_assembly (const E_ &e, const LocalMatrix< T_, N_, N_ > &ae, SpMatrix< T_ > &A)
	Assemble local matrix into global sparse matrix. More...
template<class T_ , size_t N_>
void	side_assembly (const Element &e, const LocalMatrix< T_, N_, N_ > &ae, SpMatrix< T_ > &A)
	Side assembly of local matrix into global matrix (as instance of class SpMatrix). More...
template<class T_ , size_t N_>
void	side_assembly (const Element &e, const LocalMatrix< T_, N_, N_ > &ae, SkSMatrix< T_ > &A)
	Side assembly of local matrix into global matrix (as instance of class SkSMatrix). More...
template<class T_ , size_t N_>
void	side_assembly (const Element &e, const LocalMatrix< T_, N_, N_ > &ae, SkMatrix< T_ > &A)
	Side assembly of local matrix into global matrix (as instance of class SkMatrix). More...
template<class T_ , size_t N_>
void	side_assembly (const Element &e, const LocalVect< T_, N_ > &be, Vect< T_ > &b)
	Side assembly of local vector into global vector. More...
ostream &	operator<< (ostream &s, const Estimator &r)
	Output estimator vector in output stream.

Detailed Description

Gathers equation related classes.

Function Documentation

element_assembly() [1/6]

void element_assembly	(	const E_ &	e,
		const LocalVect< T_, N_ > &	be,
		Vect< T_ > &	b
	)

Assemble local vector into global vector.

Parameters

[in]	e	Reference to local entity (Element or Side)
[in]	be	Local vector
[in,out]	b	Global vector

Author

Rachid Touzani

Copyright

GNU Lesser Public License

element_assembly() [2/6]

void element_assembly	(	const E_ &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		Vect< T_ > &	b
	)

Assemble diagonal local vector into global vector.

Parameters

[in]	e	Reference to local entity (Element or Side)
[in]	ae	Local matrix
[in,out]	b	Global vector

Author

Rachid Touzani

Copyright

GNU Lesser Public License

element_assembly() [3/6]

void element_assembly	(	const E_ &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		Matrix< T_ > *	A
	)

Assemble local matrix into global matrix.

This function is to be called with an abstract pointer to matrix (class Matrix)

Parameters

[in]	e	Reference to local entity (Element or Side)
[in]	ae	Local matrix
[in,out]	A	Pointer to global matrix

Author

Rachid Touzani

Copyright

GNU Lesser Public License

element_assembly() [4/6]

void element_assembly	(	const E_ &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		SkMatrix< T_ > &	A
	)

Assemble local matrix into global skyline matrix.

Parameters

[in]	e	Reference to local entity (Element or Side)
[in]	ae	Local matrix
[in,out]	A	Global matrix

Author

Rachid Touzani

Copyright

GNU Lesser Public License

element_assembly() [5/6]

void element_assembly	(	const E_ &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		SkSMatrix< T_ > &	A
	)

Assemble local matrix into global symmetric skyline matrix.

Parameters

[in]	e	Reference to local entity (Element or Side)
[in]	ae	Local matrix
[in,out]	A	Global matrix

Author

Rachid Touzani

Copyright

GNU Lesser Public License

element_assembly() [6/6]

void element_assembly	(	const E_ &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		SpMatrix< T_ > &	A
	)

Assemble local matrix into global sparse matrix.

Parameters

[in]	e	Reference to local entity (Element or Side)
[in]	ae	Local matrix
[in,out]	A	Global matrix

Author

Rachid Touzani

Copyright

GNU Lesser Public License

side_assembly() [1/4]

void side_assembly	(	const Element &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		SpMatrix< T_ > &	A
	)

Side assembly of local matrix into global matrix (as instance of class SpMatrix).

Parameters

[in]	e	Reference to local Element
[in]	ae	Local matrix
[in,out]	A	Global matrix

Author

Rachid Touzani

Copyright

GNU Lesser Public License

side_assembly() [2/4]

void side_assembly	(	const Element &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		SkSMatrix< T_ > &	A
	)

Side assembly of local matrix into global matrix (as instance of class SkSMatrix).

Parameters

[in]	e	Reference to local Element
[in]	ae	Local matrix
[in,out]	A	Global matrix

Author

Rachid Touzani

Copyright

GNU Lesser Public License

side_assembly() [3/4]

void side_assembly	(	const Element &	e,
		const LocalMatrix< T_, N_, N_ > &	ae,
		SkMatrix< T_ > &	A
	)

Side assembly of local matrix into global matrix (as instance of class SkMatrix).

Parameters

[in]	e	Reference to local Element
[in]	ae	Local matrix
[in,out]	A	Global matrix

Author

Rachid Touzani

Copyright

GNU Lesser Public License

side_assembly() [4/4]

void side_assembly	(	const Element &	e,
		const LocalVect< T_, N_ > &	be,
		Vect< T_ > &	b
	)

Side assembly of local vector into global vector.

Parameters

[in]	e	Reference to local Element
[in]	be	Local vector
[in,out]	b	Global vector

Author

Rachid Touzani

Copyright

GNU Lesser Public License