Space for linear FEM in 1D. More...

#include <space1D.hh>

Inheritance diagram for linearFEM::Linear1d:

Public Types
typedef concepts::Scan< Line >	Scan

typedef Scan< Element< Real > >	Scanner

typedef void(*	SMap) (const concepts::TColumn< Real > &, concepts::TColumn< Real > &)

typedef Element< Real >	type

Public Member Functions
virtual uint	dim () const

virtual uint	dim () const=0
	Returns the dimension of the space. More...

virtual uint	getOutputDimension () const
	Returns the default output dimension, when we consider plotting a real-valued operator on this space. More...

	Linear1d (concepts::Mesh1 &msh, uint level, concepts::BoundaryConditions *bc=0)
	Constructor. More...

virtual uint	nelm () const

virtual uint	nelm () const=0
	Returns the number of elements in the space. More...

virtual Scan *	scan () const

virtual Scanner *	scan () const=0
	Returns a scanner to iterate over the elements of the space. More...

virtual	~Linear1d ()

Protected Member Functions
virtual std::ostream &	info (std::ostream &os) const

Private Member Functions
void	constructor_ (concepts::Cell1 &cell, uint level, concepts::DynArray< uint > &dofMap, const concepts::DynArray< uint > &bcMap)
	Assigns the degrees of freedom and creates elements. More...

void	enforceBC_ (concepts::Cell1 &cell, uint level, concepts::DynArray< uint > &bcMap)
	Notes where Dirichlet boundary conditions have to be enforced. More...

Private Attributes
concepts::BoundaryConditions *	bc_
	Boundary conditions. More...

uint	dim_
	Number of degrees of freedom. More...

concepts::Joiner< Line , 1 >	elm_
	List of elements. More...

concepts::Mesh1 &	msh_
	Mesh which this space is based on. More...

uint	nelm_
	Number of elements. More...

Detailed Description

Space for linear FEM in 1D.

Author: Philipp Frauenfelder, 2002

Examples: linearFEM1d-simple.cc, and linearFEM1d.cc.

Definition at line 39 of file space1D.hh.

Member Typedef Documentation

◆ Scan

typedef concepts::Scan<Line> linearFEM::Linear1d::Scan

Definition at line 41 of file space1D.hh.

◆ Scanner

typedef Scan<Element<Real > > concepts::Space< Real >::Scanner

inherited

Definition at line 47 of file space.hh.

◆ SMap

typedef void(* linearFEM::Linear1d::SMap) (const concepts::TColumn< Real > &, concepts::TColumn< Real > &)

Definition at line 42 of file space1D.hh.

◆ type

typedef Element<Real > concepts::Space< Real >::type

inherited

Definition at line 46 of file space.hh.

Constructor & Destructor Documentation

◆ Linear1d()

linearFEM::Linear1d::Linear1d	(	concepts::Mesh1 &	msh,
		uint	level,
		concepts::BoundaryConditions *	bc = `0`
	)

Constructor.

Recursively calls enforceBC_ and constructor_

Parameters

msh	Mesh
level	Number levels for initial refinement
bc	Boundary conditions

◆ ~Linear1d()

virtual linearFEM::Linear1d::~Linear1d ( )

virtual

Member Function Documentation

◆ constructor_()

void linearFEM::Linear1d::constructor_	(	concepts::Cell1 &	cell,
		uint	level,
		concepts::DynArray< uint > &	dofMap,
		const concepts::DynArray< uint > &	bcMap
	)

private

Assigns the degrees of freedom and creates elements.

The numbers of the degrees of freedom is stored in dofMap.

constructor_ is called recursively until level is 0. On this level, the degrees of freedom are assigned and the elements are created and stored in elm_.

Parameters

cell	Current cell
level	Number of levels left to desired level
dofMap	Stores assigned dof for the vertices
bcMap	Stores boundary condition flag for each vertex

◆ dim() [1/2]

virtual uint linearFEM::Linear1d::dim ( ) const

inlinevirtual

Definition at line 52 of file space1D.hh.

◆ dim() [2/2]

virtual uint concepts::Space< Real >::dim ( ) const

pure virtualinherited

Returns the dimension of the space.

Implemented in concepts::SpaceOnCells< Real >, concepts::DummySpace< Real >, hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

◆ enforceBC_()

void linearFEM::Linear1d::enforceBC_	(	concepts::Cell1 &	cell,
		uint	level,
		concepts::DynArray< uint > &	bcMap
	)

private

Notes where Dirichlet boundary conditions have to be enforced.

This information is stored in bcMap.

enforceBC_ is called recursively until level is 0. On this level, the boundary conditions are checked.

Parameters

cell	Current cell
level	Number of levels left to desired level
bcMap	Stores boundary condition flag for each vertex

◆ getOutputDimension()

virtual uint concepts::Space< Real >::getOutputDimension ( ) const

inlinevirtualinherited

Returns the default output dimension, when we consider plotting a real-valued operator on this space.

Definition at line 50 of file space.hh.

◆ info()

virtual std::ostream& linearFEM::Linear1d::info ( std::ostream & os ) const

protectedvirtual

Reimplemented from concepts::Space< Real >.

◆ nelm() [1/2]

virtual uint linearFEM::Linear1d::nelm ( ) const

inlinevirtual

Definition at line 53 of file space1D.hh.

◆ nelm() [2/2]

virtual uint concepts::Space< Real >::nelm ( ) const

pure virtualinherited

Returns the number of elements in the space.

Implemented in concepts::SpaceOnCells< Real >, concepts::DummySpace< Real >, hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

◆ scan() [1/2]

virtual Scan* linearFEM::Linear1d::scan ( ) const

inlinevirtual

Definition at line 54 of file space1D.hh.

◆ scan() [2/2]

virtual Scanner* concepts::Space< Real >::scan ( ) const

pure virtualinherited

Returns a scanner to iterate over the elements of the space.

Implemented in concepts::SpaceOnCells< Real >, concepts::DummySpace< Real >, hp2D::hpAdaptiveSpace< Real >, hp3D::Space, hp2Dedge::Space, hp2D::Space, hp2D::hpAdaptiveSpace< Real >, and hp1D::Space.

Member Data Documentation

◆ bc_

concepts::BoundaryConditions* linearFEM::Linear1d::bc_

private

Boundary conditions.

Definition at line 65 of file space1D.hh.

◆ dim_

uint linearFEM::Linear1d::dim_

private

Number of degrees of freedom.

Definition at line 59 of file space1D.hh.

◆ elm_

concepts::Joiner<Line*, 1>* linearFEM::Linear1d::elm_

private

List of elements.

Definition at line 67 of file space1D.hh.

◆ msh_

concepts::Mesh1& linearFEM::Linear1d::msh_

private

Mesh which this space is based on.

Definition at line 63 of file space1D.hh.

◆ nelm_

uint linearFEM::Linear1d::nelm_

private

Number of elements.

Definition at line 61 of file space1D.hh.

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

linearFEM/space1D.hh

linearFEM::Linear1d Class Referenceabstract

Public Types

Public Member Functions

Protected Member Functions

Private Member Functions

Private Attributes

Detailed Description

Member Typedef Documentation

◆ Scan

◆ Scanner

◆ SMap

◆ type

Constructor & Destructor Documentation

◆ Linear1d()

◆ ~Linear1d()

Member Function Documentation

◆ constructor_()

◆ dim() [1/2]

◆ dim() [2/2]

◆ enforceBC_()

◆ getOutputDimension()

◆ info()

◆ nelm() [1/2]

◆ nelm() [2/2]

◆ scan() [1/2]

◆ scan() [2/2]

Member Data Documentation

◆ bc_

◆ dim_

◆ elm_

◆ msh_

◆ nelm_