#include <StokesFlowPreconditionerAssembler.hpp>

Inheritance diagram for StokesFlowPreconditionerAssembler< DIM >:

Collaboration diagram for StokesFlowPreconditionerAssembler< DIM >:

Public Member Functions
	StokesFlowPreconditionerAssembler (AbstractTetrahedralMesh< DIM, DIM > pMesh, StokesFlowProblemDefinition< DIM > pProblemDefinition)

Public Member Functions inherited from StokesFlowAssembler< DIM >
	StokesFlowAssembler (AbstractTetrahedralMesh< DIM, DIM > pMesh, StokesFlowProblemDefinition< DIM > pProblemDefinition)

Public Member Functions inherited from AbstractContinuumMechanicsAssembler< DIM, true, true >
	AbstractContinuumMechanicsAssembler (AbstractTetrahedralMesh< DIM, DIM > *pMesh)

virtual	~AbstractContinuumMechanicsAssembler ()

Public Member Functions inherited from AbstractFeAssemblerInterface< CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >
	AbstractFeAssemblerInterface ()

void	SetMatrixToAssemble (Mat &rMatToAssemble, bool zeroMatrixBeforeAssembly=true)

void	SetVectorToAssemble (Vec &rVecToAssemble, bool zeroVectorBeforeAssembly)

void	Assemble ()

void	AssembleMatrix ()

void	AssembleVector ()

virtual	~AbstractFeAssemblerInterface ()

Private Member Functions
c_matrix< double, PRESSURE_BLOCK_SIZE_ELEMENTAL, PRESSURE_BLOCK_SIZE_ELEMENTAL >	ComputePressurePressureMatrixTerm (c_vector< double, NUM_VERTICES_PER_ELEMENT > &rLinearPhi, c_matrix< double, DIM, NUM_VERTICES_PER_ELEMENT > &rGradLinearPhi, c_vector< double, DIM > &rX, Element< DIM, DIM > *pElement)

Static Private Attributes
static const unsigned	NUM_VERTICES_PER_ELEMENT = DIM+1

static const unsigned	PRESSURE_BLOCK_SIZE_ELEMENTAL = NUM_VERTICES_PER_ELEMENT

Additional Inherited Members
Protected Member Functions inherited from AbstractContinuumMechanicsAssembler< DIM, true, true >
void	DoAssemble ()

virtual c_vector< double, PRESSURE_BLOCK_SIZE_ELEMENTAL >	ComputePressureVectorTerm (c_vector< double, NUM_VERTICES_PER_ELEMENT > &rLinearPhi, c_matrix< double, DIM, NUM_VERTICES_PER_ELEMENT > &rGradLinearPhi, c_vector< double, DIM > &rX, Element< DIM, DIM > *pElement)

void	AssembleOnElement (Element< DIM, DIM > &rElement, c_matrix< double, STENCIL_SIZE, STENCIL_SIZE > &rAElem, c_vector< double, STENCIL_SIZE > &rBElem)

Protected Attributes inherited from AbstractContinuumMechanicsAssembler< DIM, true, true >
AbstractTetrahedralMesh< DIM, DIM > *	mpMesh

GaussianQuadratureRule< DIM > *	mpQuadRule

Protected Attributes inherited from AbstractFeAssemblerInterface< CAN_ASSEMBLE_VECTOR, CAN_ASSEMBLE_MATRIX >
Vec	mVectorToAssemble

Mat	mMatrixToAssemble

bool	mAssembleMatrix

bool	mAssembleVector

bool	mZeroMatrixBeforeAssembly

bool	mZeroVectorBeforeAssembly

PetscInt	mOwnershipRangeLo

PetscInt	mOwnershipRangeHi

Static Protected Attributes inherited from AbstractContinuumMechanicsAssembler< DIM, true, true >
static const bool	BLOCK_SYMMETRIC_MATRIX

static const unsigned	NUM_VERTICES_PER_ELEMENT

static const unsigned	NUM_NODES_PER_ELEMENT

static const unsigned	SPATIAL_BLOCK_SIZE_ELEMENTAL

static const unsigned	PRESSURE_BLOCK_SIZE_ELEMENTAL

static const unsigned	STENCIL_SIZE

Detailed Description

template<unsigned DIM>
class StokesFlowPreconditionerAssembler< DIM >

Assembler for setting up (volume-integral parts of) the preconditioner matrix used in the FEM solver Stokes' Flow.

The system matrix has the block form (except see comment below) [A B] [B^T 0] In contrast, the preconditioner is: [A B] [B^T M]

The class therefore just needs to inherit from StokesFlowAssembler, which will assemble the A,B,B^T terms, and it just has to overload the pressure-pressure block method.

NOTE: The elemental matrix and vector is as above. The full matrix and vector uses a completely different ordering: for parallelisation reasons the pressure variables are interleaved with the spatial variables and dummy pressure variables are used for internal nodes. For example, in 2d, the ordering is [U1 V1 P1 , .. , Un Vn, Pn] where n is the total number of nodes.

Definition at line 65 of file StokesFlowPreconditionerAssembler.hpp.

Constructor & Destructor Documentation

template<unsigned DIM>

StokesFlowPreconditionerAssembler< DIM >::StokesFlowPreconditionerAssembler	(	AbstractTetrahedralMesh< DIM, DIM > *	pMesh,
		StokesFlowProblemDefinition< DIM > *	pProblemDefinition
	)

inline

Constructor

Parameters

pMesh	mesh
pProblemDefinition	problem definition

Definition at line 106 of file StokesFlowPreconditionerAssembler.hpp.

Member Function Documentation

template<unsigned DIM>

c_matrix<double,PRESSURE_BLOCK_SIZE_ELEMENTAL,PRESSURE_BLOCK_SIZE_ELEMENTAL> StokesFlowPreconditionerAssembler< DIM >::ComputePressurePressureMatrixTerm	(	c_vector< double, NUM_VERTICES_PER_ELEMENT > &	rLinearPhi,
		c_matrix< double, DIM, NUM_VERTICES_PER_ELEMENT > &	rGradLinearPhi,
		c_vector< double, DIM > &	rX,
		Element< DIM, DIM > *	pElement
	)

inlineprivatevirtual

For a continuum mechanics problem in mixed form (displacement-pressure or velocity-pressure), the matrix has the form (except see comments about ordering above) [A B1] [B2^T C ] The function is related to the pressure-pressure block, i.e. C

Returns: C=M, the mass matrix.

Parameters

rLinearPhi	All the linear basis functions on this element, evaluated at the current quad point
rGradLinearPhi	Gradients of all the linear basis functions on this element, evaluated at the current quad point
rX	Current location (physical position)
pElement	Current element

Reimplemented from AbstractContinuumMechanicsAssembler< DIM, true, true >.

Definition at line 91 of file StokesFlowPreconditionerAssembler.hpp.