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 34 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 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. More...
virtual void	applyKnownSolutions (GlobalVector &x) const =0
virtual void	applyKnownSolutionsNewton (GlobalMatrix &Jac, GlobalVector &res, GlobalVector &minus_delta_x) const =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)
Public Member Functions inherited from NumLib::MatrixSpecificationsProvider
virtual MathLib::MatrixSpecifications	getMatrixSpecifications (const int process_id) const =0
virtual	~MatrixSpecificationsProvider ()=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.

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.

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

• NumLib/ODESolver/NonlinearSystem.h