Classes and functions to handle boundary conditions and associated numbering of unknowns. More...

Functions
void	setBCLabels (const BoundaryConditions &BC, GlobalDOFSpace &globaldofspace)
	Adds BC labels do GlobalDOFSpace DOFs. The default label is 0; we leave it 0 for internal DOF, -1 for Neumann DOF and 1 for Dirichlet DOF.

int	offsetIndex (const std::vector< size_t > &c, const int &i)
	Function to offset and index i according to a vector c0,c1,...,c2n of increasing numbers.

Eigen::ArrayXi	create_mapDOF (const std::vector< size_t > &c, const size_t N)
	Create a map from DOFs 0..N-1 to values obtained by cutting the DOFs corresponding to c (as per offsetIndex).

template<typename VecType >
VecType	replaceSectionsVector (const VecType &V, const VecType &Z, const std::vector< std::pair< size_t, size_t > > &sec)
	Replace sections of vector V by values from vector Z into vector V; the sections are determined by 'sec'. The vectors are any (identical) types of Eigen::Vector.

Detailed Description

Classes and functions to handle boundary conditions and associated numbering of unknowns.

Function Documentation

◆ create_mapDOF()

Eigen::ArrayXi create_mapDOF	(	const std::vector< size_t > &	c,
		const size_t	N
	)

Create a map from DOFs 0..N-1 to values obtained by cutting the DOFs corresponding to c (as per offsetIndex).

◆ offsetIndex()

int offsetIndex	(	const std::vector< size_t > &	c,
		const int &	i
	)

Function to offset and index i according to a vector c0,c1,...,c2n of increasing numbers.

The indices between [c0,c1),...[c2n-1,c2n) are removed (return -1), and the other are offset according to this removal

◆ replaceSectionsVector()

template<typename VecType >

VecType replaceSectionsVector	(	const VecType &	V,
		const VecType &	Z,
		const std::vector< std::pair< size_t, size_t > > &	sec
	)

Replace sections of vector V by values from vector Z into vector V; the sections are determined by 'sec'. The vectors are any (identical) types of Eigen::Vector.

Returns a vector of same length as V, whose segments starting at sec[i].first and with length sec[i].second are replaced using the values (successively) of Z. Can be used to:

1) create a map from DOFs to unknowns: starting from a vector V of -1 of size nb of DOFs and a linearly spaced vector Z of size the number of final unknowns, replaces the -1 by the unknowns. The final vector maps -1 for DOFs that are eliminated (not in the 'sec' positions) and linearly lists unknown numbers for the other DOFs

2) insert, in a vector already containing values for Dirichlet DOFs, values calculated by solving a system on the other DOFs.

◆ setBCLabels()

void setBCLabels	(	const BoundaryConditions &	BC,
		GlobalDOFSpace &	globaldofspace
	)