SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE > Class Template Reference

#include <SimpleLinearEllipticAssembler.hpp>

Inheritance diagram for SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >:

Collaboration diagram for SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >:

List of all members.

Public Types

typedef
SimpleLinearEllipticAssembler
< ELEMENT_DIM, SPACE_DIM,
CONCRETE > SelfType

typedef
AbstractLinearAssembler
< ELEMENT_DIM, SPACE_DIM,
1, true, SelfType > BaseClassType

Public Member Functions

SimpleLinearEllipticAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *pMesh, AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > *pPde, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *pBoundaryConditions, unsigned numQuadPoints=2)

void PrepareForSolve ()

Static Public Attributes

static const unsigned E_DIM = ELEMENT_DIM

static const unsigned S_DIM = SPACE_DIM

static const unsigned P_DIM = 1u

Protected Member Functions

virtual c_matrix< double,
1 *(ELEMENT_DIM+1),
1 *(ELEMENT_DIM+1)> ComputeMatrixTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)

virtual c_vector< double,
1 *(ELEMENT_DIM+1)> ComputeVectorTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)

virtual c_vector< double,
ELEMENT_DIM > ComputeVectorSurfaceTerm (const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &rSurfaceElement, c_vector< double, ELEMENT_DIM > &rPhi, ChastePoint< SPACE_DIM > &rX)

Protected Attributes

AbstractLinearEllipticPde
< ELEMENT_DIM, SPACE_DIM > * mpEllipticPde

Friends

class TestSimpleLinearEllipticAssembler

class AbstractStaticAssembler< ELEMENT_DIM, SPACE_DIM, 1, true, SelfType >

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>
class SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >

SimpleLinearEllipticAssembler

Assembler for solving AbstractLinearEllipticPdes

Definition at line 50 of file SimpleLinearEllipticAssembler.hpp.

Member Typedef Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

typedef SimpleLinearEllipticAssembler<ELEMENT_DIM, SPACE_DIM, CONCRETE> SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::SelfType

This type (to save typing).

Definition at line 59 of file SimpleLinearEllipticAssembler.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

typedef AbstractLinearAssembler<ELEMENT_DIM, SPACE_DIM, 1, true, SelfType> SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::BaseClassType

Base class type (to save typing).

Definition at line 60 of file SimpleLinearEllipticAssembler.hpp.

Constructor & Destructor Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::SimpleLinearEllipticAssembler	(	AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > *	pMesh,
		AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > *	pPde,
		BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *	pBoundaryConditions,
		unsigned	numQuadPoints = `2`
	)			`[inline]`

Constructor stores the mesh, pde and boundary conditons, and calls base constructor.

Parameters:

	pMesh	pointer to the mesh
	pPde	pointer to the PDE
	pBoundaryConditions	pointer to the boundary conditions
	numQuadPoints	number of quadrature points (defaults to 2)

Definition at line 155 of file SimpleLinearEllipticAssembler.hpp.

References SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::mpEllipticPde, AbstractAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::SetBoundaryConditionsContainer(), and AbstractStaticAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, NON_HEART, SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE > >::SetMesh().

Member Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

virtual c_matrix<double, 1(ELEMENT_DIM+1), 1(ELEMENT_DIM+1)> SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::ComputeMatrixTerm	(	c_vector< double, ELEMENT_DIM+1 > &	rPhi,
		c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &	rGradPhi,
		ChastePoint< SPACE_DIM > &	rX,
		c_vector< double, 1 > &	rU,
		c_matrix< double, 1, SPACE_DIM > &	rGradU,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)			`[inline, protected, virtual]`

The term to be added to the element stiffness matrix:

grad_phi[row] . ( pde_diffusion_term * grad_phi[col])

Parameters:

	rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
	rGradPhi	Basis gradients, rGradPhi(i,j) = d(phi_j)/d(X_i)
	rX	The point in space
	rU	The unknown as a vector, u(i) = u_i

Todo:: should this be rU?

Parameters:

	rGradU	The gradient of the unknown as a matrix, rGradU(i,j) = d(u_i)/d(X_j)
	pElement	Pointer to the element

Definition at line 81 of file SimpleLinearEllipticAssembler.hpp.

References AbstractLinearEllipticPde< ELEM_DIM, SPACE_DIM >::ComputeDiffusionTerm(), AbstractLinearEllipticPde< ELEM_DIM, SPACE_DIM >::ComputeLinearInUCoeffInSourceTerm(), and SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::mpEllipticPde.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

virtual c_vector<double,1*(ELEMENT_DIM+1)> SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::ComputeVectorTerm	(	c_vector< double, ELEMENT_DIM+1 > &	rPhi,
		c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &	rGradPhi,
		ChastePoint< SPACE_DIM > &	rX,
		c_vector< double, 1 > &	rU,
		c_matrix< double, 1, SPACE_DIM > &	rGradU,
		Element< ELEMENT_DIM, SPACE_DIM > *	pElement
	)			`[inline, protected, virtual]`

The term arising from boundary conditions to be added to the element stiffness vector.

Parameters:

	rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
	rGradPhi	Basis gradients, rGradPhi(i,j) = d(phi_j)/d(X_i)
	rX	The point in space
	rU	The unknown as a vector, u(i) = u_i
	rGradU	The gradient of the unknown as a matrix, rGradU(i,j) = d(u_i)/d(X_j)
	pElement	Pointer to the element

Definition at line 114 of file SimpleLinearEllipticAssembler.hpp.

References AbstractLinearEllipticPde< ELEM_DIM, SPACE_DIM >::ComputeConstantInUSourceTerm(), and SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::mpEllipticPde.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

virtual c_vector<double, ELEMENT_DIM> SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::ComputeVectorSurfaceTerm	(	const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &	rSurfaceElement,
		c_vector< double, ELEMENT_DIM > &	rPhi,
		ChastePoint< SPACE_DIM > &	rX
	)			`[inline, protected, virtual]`

This method returns the vector to be added to element stiffness vector for a given gauss point in BoundaryElement. The arguments are the bases, x and current solution computed at the Gauss point. The returned vector will be multiplied by the gauss weight and jacobian determinent and added to the element stiffness matrix (see AssembleOnElement()).

Parameters:

	rSurfaceElement	the element which is being considered.
	rPhi	The basis functions, rPhi(i) = phi_i, i=1..numBases
	rX	The point in space

Implements AbstractAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >.

Definition at line 136 of file SimpleLinearEllipticAssembler.hpp.

References BoundaryConditionsContainer< ELEM_DIM, SPACE_DIM, PROBLEM_DIM >::GetNeumannBCValue(), and AbstractAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM >::mpBoundaryConditions.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

void SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::PrepareForSolve ( ) [inline, virtual]

This method is called at the beginning of Solve() in AbstractLinearStaticProblemAssembler.

Reimplemented from AbstractStaticAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, NON_HEART, SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE > >.

Definition at line 172 of file SimpleLinearEllipticAssembler.hpp.

References SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::mpEllipticPde, and AbstractStaticAssembler< ELEMENT_DIM, SPACE_DIM, PROBLEM_DIM, NON_HEART, CONCRETE >::PrepareForSolve().

Friends And Related Function Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

friend class AbstractStaticAssembler< ELEMENT_DIM, SPACE_DIM, 1, true, SelfType > [friend]

Allow the AbstractStaticAssembler to call our private/protected methods using static polymorphism.

Definition at line 62 of file SimpleLinearEllipticAssembler.hpp.

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

const unsigned SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::E_DIM = ELEMENT_DIM [static]

The element dimension (to save typing).

Definition at line 53 of file SimpleLinearEllipticAssembler.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

const unsigned SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::S_DIM = SPACE_DIM [static]

The space dimension (to save typing).

Definition at line 54 of file SimpleLinearEllipticAssembler.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

const unsigned SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::P_DIM = 1u [static]

The problem dimension (to save typing).

Definition at line 55 of file SimpleLinearEllipticAssembler.hpp.

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>

AbstractLinearEllipticPde<ELEMENT_DIM,SPACE_DIM>* SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::mpEllipticPde [protected]

The PDE to be solved.

Definition at line 67 of file SimpleLinearEllipticAssembler.hpp.

Referenced by SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::ComputeMatrixTerm(), SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::ComputeVectorTerm(), SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::PrepareForSolve(), and SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >::SimpleLinearEllipticAssembler().

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

/tmp/release_1.1/pde/src/solver/common/SimpleLinearEllipticAssembler.hpp


Public Types
typedef SimpleLinearEllipticAssembler < ELEMENT_DIM, SPACE_DIM, CONCRETE >	SelfType
typedef AbstractLinearAssembler < ELEMENT_DIM, SPACE_DIM, 1, true, SelfType >	BaseClassType
Public Member Functions
	SimpleLinearEllipticAssembler (AbstractTetrahedralMesh< ELEMENT_DIM, SPACE_DIM > pMesh, AbstractLinearEllipticPde< ELEMENT_DIM, SPACE_DIM > pPde, BoundaryConditionsContainer< ELEMENT_DIM, SPACE_DIM, 1 > *pBoundaryConditions, unsigned numQuadPoints=2)
void	PrepareForSolve ()
Static Public Attributes
static const unsigned	E_DIM = ELEMENT_DIM
static const unsigned	S_DIM = SPACE_DIM
static const unsigned	P_DIM = 1u
Protected Member Functions
virtual c_matrix< double, 1 (ELEMENT_DIM+1), 1 (ELEMENT_DIM+1)>	ComputeMatrixTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)
virtual c_vector< double, 1 *(ELEMENT_DIM+1)>	ComputeVectorTerm (c_vector< double, ELEMENT_DIM+1 > &rPhi, c_matrix< double, SPACE_DIM, ELEMENT_DIM+1 > &rGradPhi, ChastePoint< SPACE_DIM > &rX, c_vector< double, 1 > &rU, c_matrix< double, 1, SPACE_DIM > &rGradU, Element< ELEMENT_DIM, SPACE_DIM > *pElement)
virtual c_vector< double, ELEMENT_DIM >	ComputeVectorSurfaceTerm (const BoundaryElement< ELEMENT_DIM-1, SPACE_DIM > &rSurfaceElement, c_vector< double, ELEMENT_DIM > &rPhi, ChastePoint< SPACE_DIM > &rX)
Protected Attributes
AbstractLinearEllipticPde < ELEMENT_DIM, SPACE_DIM > *	mpEllipticPde
Friends
class	TestSimpleLinearEllipticAssembler
class	AbstractStaticAssembler< ELEMENT_DIM, SPACE_DIM, 1, true, SelfType >

SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE > Class Template Reference

Public Types

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Friends

Detailed Description

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_> class SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation

template<unsigned ELEMENT_DIM, unsigned SPACE_DIM, class CONCRETE = boost::mpl::void_>
class SimpleLinearEllipticAssembler< ELEMENT_DIM, SPACE_DIM, CONCRETE >