NumLib::NonlinearSystem< NonlinearSolverTag::Newton > Class Reference

Detailed Description

A System of nonlinear equations to be solved with the Newton-Raphson method.

The Newton-Raphson method will iterate the linearized equation \( \mathtt{Jac} \cdot (-\Delta x_i) = \mathtt{res} \).

Definition at line 35 of file NonlinearSystem.h.

#include <NonlinearSystem.h>

Inheritance diagram for NumLib::NonlinearSystem< NonlinearSolverTag::Newton >:

Collaboration diagram for NumLib::NonlinearSystem< NonlinearSolverTag::Newton >:

Public Member Functions
virtual void	assemble (std::vector< GlobalVector * > const &x, std::vector< GlobalVector * > const &x_prev, int const process_id)=0
virtual std::vector< GlobalIndexType >	getIndicesOfResiduumWithoutInitialCompensation () const =0
virtual void	getResidual (GlobalVector const &x, GlobalVector const &x_prev, GlobalVector &res) const =0
virtual void	getJacobian (GlobalMatrix &Jac) const =0
virtual void	computeKnownSolutions (GlobalVector const &x, int const process_id)=0
	Pre-compute known solutions and possibly store them internally.
virtual void	applyKnownSolutions (GlobalVector &x) const =0
virtual void	applyKnownSolutionsNewton (GlobalMatrix &Jac, GlobalVector &res, GlobalVector &minus_delta_x) const =0
virtual void	updateConstraints (GlobalVector &, GlobalVector &, int)=0
Public Member Functions inherited from NumLib::EquationSystem
virtual bool	isLinear () const =0
virtual void	preIteration (const unsigned iter, GlobalVector const &x)
virtual IterationResult	postIteration (GlobalVector const &x)
virtual MathLib::MatrixSpecifications	getMatrixSpecifications (const int process_id) const =0
virtual	~EquationSystem ()=default

Member Function Documentation

applyKnownSolutions()

virtual void NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::applyKnownSolutions ( GlobalVector & x ) const

pure virtual

Apply known solutions to the solution vector x.

Precondition

computeKnownSolutions() must have been called before.

applyKnownSolutionsNewton()

virtual void NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::applyKnownSolutionsNewton ( GlobalMatrix & Jac, GlobalVector & res, GlobalVector & minus_delta_x ) const

pure virtual

Apply known solutions to the linearized equation system \( \mathit{Jac} \cdot (-\Delta x) = \mathit{res} \).

Precondition

computeKnownSolutions() must have been called before.

assemble()

virtual void NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::assemble ( std::vector< GlobalVector * > const & x, std::vector< GlobalVector * > const & x_prev, int const process_id )

pure virtual

Assembles the linearized equation system at the point x. The linearized system is \(A(x) \cdot x = b(x)\). Here the matrix \(A(x)\) and the vector \(b(x)\) are assembled.

computeKnownSolutions()

virtual void NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::computeKnownSolutions ( GlobalVector const & x, int const process_id )

pure virtual

Pre-compute known solutions and possibly store them internally.

getIndicesOfResiduumWithoutInitialCompensation()

virtual std::vector< GlobalIndexType > NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::getIndicesOfResiduumWithoutInitialCompensation ( ) const

pure virtual

Returns

The global indices for the entries of the global residuum vector that do not need initial non-equilibrium compensation.

getJacobian()

virtual void NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::getJacobian ( GlobalMatrix & Jac ) const

pure virtual

Writes the Jacobian of the residual to Jac.

Precondition

assemble() must have been called before.

getResidual()

virtual void NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::getResidual ( GlobalVector const & x, GlobalVector const & x_prev, GlobalVector & res ) const

pure virtual

Writes the residual at point x to res.

Precondition

assemble() must have been called before with the same argument x.

Todo

Remove argument x.

updateConstraints()

virtual void NumLib::NonlinearSystem< NonlinearSolverTag::Newton >::updateConstraints ( GlobalVector & , GlobalVector & , int  )

pure virtual

---

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

• NumLib/ODESolver/NonlinearSystem.h