Full-space system preconditioner based on the reduced-space. More...

#include <kkt_birosghattas_preconditioners.hpp>

Inheritance diagram for BirosGhattasPreconditioner< Real >:

Collaboration diagram for BirosGhattasPreconditioner< Real >:

Public Member Functions
	BirosGhattasPreconditioner (const ROL::Ptr< ROL::Objective< Real >> objective, const ROL::Ptr< ROL::Constraint< Real >> equal_constraints, const ROL::Ptr< const ROL::Vector< Real >> design_variables, const ROL::Ptr< const ROL::Vector< Real >> lagrange_mult, const ROL::Ptr< ROL::Secant< Real > > secant, const bool use_approximate_preconditioner=false)
	Constructor.

virtual void	vmult (dealiiSolverVectorWrappingROL< Real > &dst, const dealiiSolverVectorWrappingROL< Real > &src) const
	Application of KKT preconditionner on vector src outputted into dst.

virtual void	Tvmult (dealiiSolverVectorWrappingROL< Real > &dst, const dealiiSolverVectorWrappingROL< Real > &src) const
	Application of transposed KKT preconditioner on vector src outputted into dst. More...

Protected Attributes
const ROL::Ptr< ROL::Objective_SimOpt< Real > >	objective_
	Objective function.

const ROL::Ptr< PHiLiP::FlowConstraints< PHILIP_DIM > >	equal_constraints_
	Equality constraints.

const ROL::Ptr< const ROL::Vector_SimOpt< Real > >	design_variables_
	Design variables.

const ROL::Ptr< const ROL::Vector< Real > >	lagrange_mult_
	Lagrange multipliers.

const ROL::Ptr< const ROL::Vector< Real > >	simulation_variables_
	Simulation design variables.

const ROL::Ptr< const ROL::Vector< Real > >	control_variables_
	Control design variables.

const ROL::Ptr< ROL::Secant< Real > >	secant_
	Secant method used to precondition the reduced Hessian.

const bool	use_approximate_preconditioner_

const unsigned int	mpi_rank
	MPI rank used to reset the deallog depth.

dealii::ConditionalOStream	pcout
	Parallel std::cout that only outputs on mpi_rank==0.

Detailed Description

template<typename Real = double>
class BirosGhattasPreconditioner< Real >

Full-space system preconditioner based on the reduced-space.

See Biros and Ghattas' 2005 paper.

Definition at line 16 of file kkt_birosghattas_preconditioners.hpp.

Member Function Documentation

◆ Tvmult()

template<typename Real = double>

virtual void BirosGhattasPreconditioner< Real >::Tvmult	(	dealiiSolverVectorWrappingROL< Real > &	dst,
		const dealiiSolverVectorWrappingROL< Real > &	src
	)		const

inlinevirtual

Application of transposed KKT preconditioner on vector src outputted into dst.

Same as vmult since this KKT preconditioner is symmetric.

Definition at line 98 of file kkt_birosghattas_preconditioners.hpp.

Member Data Documentation

◆ use_approximate_preconditioner_

template<typename Real = double>

const bool BirosGhattasPreconditioner< Real >::use_approximate_preconditioner_

protected

Use an approximate inverse of the Jacobian and Jacobian transpose using the preconditioner to obtain the "tilde" operator version of Biros and Ghattas.

Definition at line 40 of file kkt_birosghattas_preconditioners.hpp.

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

src/optimization/kkt_birosghattas_preconditioners.hpp

Public Member Functions