A ProfileSPDLinSubstrSolver object will perform the numerical substructuring operations on a ProfileSPDLinSOE object. More...

#include <ProfileSPDLinSubstrSolver.h>

Inheritance diagram for XC::ProfileSPDLinSubstrSolver:

Public Member Functions
int	solve (void)
	Computes the solution. More...

int	condenseA (int numInt)
	Causes the condenser to form $A_{ee}^*= A_{ee} -A_{ei} A_{ii}^{-1} A_{ie}$, where $A_{ii}$ is the first `numInt` rows of the $A$ matrix. More...

int	condenseRHS (int numInt, Vector *v=0)
	Causes the condenser to form $B_e^*= B_e - A_{ei} A_{ii}^{-1} B_i$, where $A_{ii}$ is the first `numInt` rows of $A$. More...

int	computeCondensedMatVect (int numInt, const Vector &u)
	Causes the condenser to form $A_{ee} u$.

const Matrix &	getCondensedA (void)
	Returns the contents of $A_{ee}$ as a matrix.

const Vector &	getCondensedRHS (void)
	Return the contents of $B_e$ as a Vector.

const Vector &	getCondensedMatVect (void)
	Return the contents of the last call to {computeCondensedMatVect()}. More...

int	setComputedXext (const Vector &)
	Sets the computed value of the unknowns in $X_e$ corresponding to the external equations to `u`. More...

int	solveXint (void)
	To compute the internal equation numbers $X_i$ given the value set for the external equations in the last call to setComputedXext(). More...

int	setSize (void)
	Sets the number of equations. More...

int	getClassTag () const

int	sendSelf (CommParameters &)
	Send the object. More...

int	recvSelf (const CommParameters &)
	Receive the object. More...

Public Member Functions inherited from XC::ProfileSPDLinDirectSolver
double	getDeterminant (void)
	Returns the determinant.

virtual int	factor (int n)

virtual int	setProfileSOE (ProfileSPDLinSOE &theSOE)
	Sets the system of equations to solve.

Public Member Functions inherited from XC::ProfileSPDLinDirectBase
	ProfileSPDLinDirectBase (int classTag, double tol)
	Constructor. More...

Public Member Functions inherited from XC::ProfileSPDLinSolver
virtual bool	setLinearSOE (ProfileSPDLinSOE &theSOE)
	Sets the system of equations to solve.

Public Member Functions inherited from XC::LinearSOESolver
virtual	~LinearSOESolver (void)
	Destructor.

Public Member Functions inherited from XC::MovableObject
	MovableObject (int classTag, int dbTag)
	Constructor. More...

	MovableObject (int classTag)
	Constructor. More...

	MovableObject (const MovableObject &)
	Copy constructor. Doesn't copy the dbTag.

MovableObject &	operator= (const MovableObject &)
	Assignment operator. Doesn't copy the dbTag.

int	getClassTag (void) const
	Return the class identifier.

int	getDbTag (void) const
	Return the object identifier in the database.

int	getDbTag (CommParameters &)
	Return the object identifier in the database.

void	setDbTag (int dbTag)
	Sets the object identifier in the database.

void	setDbTag (CommParameters &)
	Sets the object identifier in the database if not already set. More...

virtual int	setParameter (const std::vector< std::string > &argv, Parameter &param)
	Sets the value `param` to the parameter `argv`.

virtual int	updateParameter (int parameterID, Information &info)
	Updates the parameter identified by `parameterID` with `info`.

virtual int	activateParameter (int parameterID)
	Activates the parameter identified by `parameterID`.

virtual int	setVariable (const std::string &variable, Information &)
	Set the value of the variable idenfified by `var`.

virtual int	getVariable (const std::string &variable, Information &)
	Return the value of the variable idenfified by `var`.

Public Member Functions inherited from XC::DistributedBase
	DistributedBase (void)
	Constructor.

virtual DbTagData &	getDbTagData (void) const
	Returns a vector to store class dbTags.

const int &	getDbTagDataPos (const int &i) const
	Returns the data at the i-th position.

void	setDbTagDataPos (const int &i, const int &v)
	Sets the data at the i-th position.

void	inicComm (const int &dataSize) const
	Initializes communication.

Protected Member Functions
	ProfileSPDLinSubstrSolver (double tol=1.0e-12)

virtual LinearSOESolver *	getCopy (void) const
	Virtual constructor.

Protected Member Functions inherited from XC::ProfileSPDLinDirectSolver
	ProfileSPDLinDirectSolver (double tol=1.0e-12)
	Constructor. More...

Protected Member Functions inherited from XC::ProfileSPDLinSolver
	ProfileSPDLinSolver (int classTag)
	Constructor. More...

virtual bool	setLinearSOE (LinearSOE *theSOE)
	Sets the system of equations to solve.

Protected Member Functions inherited from XC::LinearSOESolver
	LinearSOESolver (int classTag=0)
	Constructor. More...

Protected Member Functions inherited from XC::Solver
	Solver (int classTag)
	Constructor. More...

Protected Member Functions inherited from XC::DomainSolver
	DomainSolver (int classTag)
	Constructor. More...

Friends
class	FEM_ObjectBroker

Additional Inherited Members
Protected Attributes inherited from XC::ProfileSPDLinDirectBase
double	minDiagTol

int	size

ID	RowTop

std::vector< double * >	topRowPtr

Vector	invD

Protected Attributes inherited from XC::ProfileSPDLinSolver
ProfileSPDLinSOE *	theSOE

Detailed Description

A ProfileSPDLinSubstrSolver object will perform the numerical substructuring operations on a ProfileSPDLinSOE object.

Member Function Documentation

§ condenseA()

int XC::ProfileSPDLinSubstrSolver::condenseA ( int numInt )

virtual

Causes the condenser to form $A_{ee}^*= A_{ee} -A_{ei} A_{ii}^{-1} A_{ie}$, where $A_{ii}$ is the first numInt rows of the $A$ matrix.

The original $A$ is changed as a result. $A_{ee}^*$ is to be stored in $A_{ee}$.

purpose: A procedure which takes the stifness matrix A= | A11 A12 | | A21 A22 | and does the following:

1) replaces A11 with D1 & U11, where A11= U11'*D1*U11

2) replaces A12 with M, where M= inv(U11')*A12

3) replaces A22 with Kdash, where Kdash= A22 - A21*inv(A11)*A12 = A22 - M'*inv(D1)*M

inputs: K[] - the nxn matrix symmetric matrix Profile[] - a vector outlining the profile of K n - the size of the system in - the no of internal dof (<n)

outputs: int 0 if no error -1 if diag term < MINDIAG -2 if diag tem becomes <= 0

Implements XC::DomainSolver.

§ condenseRHS()

int XC::ProfileSPDLinSubstrSolver::condenseRHS	(	int	numInt,
		Vector *	v = `0`
	)

virtual

Causes the condenser to form $B_e^*= B_e - A_{ei} A_{ii}^{-1} B_i$, where $A_{ii}$ is the first numInt rows of $A$.

The original $B$ is changed as a result. $B_e^*$ is to be stored in $B_e$.

purpose: A procedure which takes the stifness matrix A= | D1 M | | A21 A22* |

and load vector B= | B1 | | B2 | does the following:

1) replaces R1 with R1*, where R1*= inv(D11)inv(U11')R1

2) replaces R2 with R2*, where R2*= R2 - A21*inv(A11)*R1 = R2 - M'R1

inputs: A[nxn] - the nxn matrix symmetric matrix STORED AS ROW VECTOR IN COL MAJOR ORDER R[n] - the nX1 load vector n - the size of the system in - the no of internal dof (<n)

outputs: int 0 if no error -1 if diag term < MINDIAG -2 if diag tem becomes <= 0

Implements XC::DomainSolver.

§ getCondensedMatVect()

const XC::Vector & XC::ProfileSPDLinSubstrSolver::getCondensedMatVect ( void )

virtual

Return the contents of the last call to {computeCondensedMatVect()}.

Implements XC::DomainSolver.

§ recvSelf()

int XC::ProfileSPDLinSubstrSolver::recvSelf ( const CommParameters & cp )

virtual

Receive the object.

Each object has to receive the data needed to be able to recreate itself in the new process after it has been sent through cp. If the object is an aggregation containing other objects, new objects of the correct type can be constructed using #theBroker. To return 0 if successful or a -1 if not.

Reimplemented from XC::ProfileSPDLinDirectSolver.

§ sendSelf()

int XC::ProfileSPDLinSubstrSolver::sendSelf ( CommParameters & cp )

virtual

Send the object.

Each object has to send the data needed to be able to reproduce that object in a remote process. The object uses the methods provided by cp object to send the data to another channel at the remote actor, the address of the channel is set before this method is called. An object of similar type at the remote actor is invoked with a receiveSelf() to receive the data. Returns 0 if successful (successful in that the data got to the channel), or a - if no data was sent.

Reimplemented from XC::ProfileSPDLinDirectSolver.

§ setComputedXext()

int XC::ProfileSPDLinSubstrSolver::setComputedXext ( const Vector & xExt )

virtual

Sets the computed value of the unknowns in $X_e$ corresponding to the external equations to u.

The number of external equations is given by the size of vector $u$.

Implements XC::DomainSolver.

§ setSize()

int XC::ProfileSPDLinSubstrSolver::setSize ( void )

virtual

Sets the number of equations.

This is invoked by the LinearSOE object when setSize() has been invoked on it. Solvers may sometimes need to store additional data that needs to be updated if the size of the system of equation changes.

Reimplemented from XC::ProfileSPDLinDirectSolver.

§ solve()

int XC::ProfileSPDLinSubstrSolver::solve ( void )

virtual

Computes the solution.

The solver first copies the B vector into X. The solve process changes $A$ and $X$.

Reimplemented from XC::ProfileSPDLinDirectSolver.

§ solveXint()

int XC::ProfileSPDLinSubstrSolver::solveXint ( void )

virtual

To compute the internal equation numbers $X_i$ given the value set for the external equations in the last call to setComputedXext().

purpose: A procedure which takes the stifness matrix K= | D1 M | | K21 K22* |

and load/displ vector R= | R1* | | r2 | does the following:

1) replaces R1* with r1, where r1= inv(K11){R1 - K12*r2} = inv(D11)inv(U11'){(D1)R1* - Mr2}

inputs: K[nxn] - the nxn matrix symmetric matrix STORED AS ROW VECTOR IN COL MAJ ORD R[n] - the nX1 load vector n - the size of the system in - the no of internal dof (<n)

Implements XC::DomainSolver.

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

src/solution/system_of_eqn/linearSOE/profileSPD/ProfileSPDLinSubstrSolver.h
src/solution/system_of_eqn/linearSOE/profileSPD/ProfileSPDLinSubstrSolver.cpp

Public Member Functions

Protected Member Functions

Friends

Additional Inherited Members

Detailed Description

Member Function Documentation

§ condenseA()

§ condenseRHS()

§ getCondensedMatVect()

§ recvSelf()

§ sendSelf()

§ setComputedXext()

§ setSize()

§ solve()

§ solveXint()