Vitelotte::FemSolver< _Mesh, _ElementBuilder > Class Template Reference

Detailed Description

template<class _Mesh, class _ElementBuilder>
class Vitelotte::FemSolver< _Mesh, _ElementBuilder >

A diffusion solver based on the Finite Element Method.

Template Parameters

_Mesh	The VGMesh type on which the solver operates.
_ElementBuilder	An ElementBuilder class that describe the type of elements used by the solver, and by extension the kind of diffusion to do.

Classes
struct	Block
struct	BlockIndex

Public Types
typedef _Mesh	Mesh
typedef _ElementBuilder	ElementBuilder
typedef FemSolver< Mesh, ElementBuilder >	Self
typedef ElementBuilder::Scalar	Scalar
typedef Eigen::Matrix< Scalar, Eigen::Dynamic, Eigen::Dynamic >	Matrix
typedef Eigen::Triplet< Scalar >	Triplet
typedef Eigen::SparseMatrix < Scalar >	StiffnessMatrix
typedef std::vector< Triplet >	TripletVector
typedef TripletVector::iterator	TripletVectorIterator
typedef std::vector< bool >	BoolVector
typedef std::vector< unsigned >	IndexMap
typedef Eigen::SimplicialLDLT < StiffnessMatrix, Eigen::Lower >	LDLT
typedef std::vector< Block >	BlockVector
typedef BlockVector::iterator	BlockIterator
typedef std::vector< BlockIndex >	NodeMap

Public Member Functions
	FemSolver (const ElementBuilder &elementBuilder=ElementBuilder())
void	build (const Mesh &mesh)
	Build the internal stiffness matrix from mesh.
void	solve (Mesh &mesh)
	Solve the diffusion problem created by build() on mesh. More...
const SolverError	error ()
	Returns a SolverError object describing the state of the solver.

Protected Types
typedef Mesh::Node	Node
typedef Mesh::Vertex	Vertex
typedef Mesh::Face	Face
typedef Mesh::FaceIterator	FaceIterator

Protected Member Functions
void	preSort (const Mesh &mesh)
void	buildMatrix (const Mesh &mesh)
void	factorize ()

Protected Attributes
ElementBuilder	m_elementBuilder
SolverError	m_error
unsigned	m_nUnknowns
unsigned	m_nConstraints
BlockVector	m_blocks
Eigen::VectorXi	m_faceBlockMap
TripletVector	m_constraintTriplets
StiffnessMatrix	m_constraintBlock
NodeMap	m_nodeMap
BoolVector	m_fMask
BoolVector	m_nMask
Eigen::VectorXi	m_fExtraIndices
NodeMap	m_fExtraMap
Matrix	m_x

Member Function Documentation

template<class _Mesh , class _ElementBuilder >

void Vitelotte::FemSolver< _Mesh, _ElementBuilder >::solve

(

Mesh &

mesh

)

Solve the diffusion problem created by build() on mesh.

Parameters of build() and solve() do not need to be the same, but they must have the same connectivity. (In other words, only constrained nodes values should differ.)