b2000::solver::StaticLinearSolver< T, MATRIX_FORMAT > Class Template Reference

#include "b2static_linear_solver.H"

Inheritance diagram for b2000::solver::StaticLinearSolver< T, MATRIX_FORMAT >:

Collaboration diagram for b2000::solver::StaticLinearSolver< T, MATRIX_FORMAT >:

Public Member Functions
void	solve () override
	This function is usually called by the Model instance.
bool	solve_iteration () override
	This function is called by the Solver instance itself.
Public Member Functions inherited from b2000::Solver
void	set_model (Model &model)
	This function is called by the Model instance.
void	set_case (Case &b2case)
	Make this constant (TB).
const bool	IsLinear () const
bool	IsDynamic () const
bool	IsDamped () const
bool	IsImplicit () const
Public Member Functions inherited from b2000::Object
virtual const std::string &	get_object_name () const
virtual	~Object ()

Additional Inherited Members
Static Public Attributes inherited from b2000::Object
static ObjectType	type
Protected Member Functions inherited from b2000::Solver
virtual void	InitializeSolverOnCase ()
	Initializes the member variables of class Solver for the case at hand.
Protected Attributes inherited from b2000::Solver
Model *	model_ {}
Case *	case_ {}
	This also.
double	time_ {}
	Pseudo time in case of stationary analyses.
double	time_max_ {1.0}
	End time of simulation.
double	step_size_ {1.0}
	step size of the simulation.
size_t	total_num_dof_ {}
	Total number of all degrees of freedom of the system.
size_t	effective_num_dof_ {}
	Number of "true" unknowns of the global system.
int	current_stage_ {}
	Current stage number of current case.

Detailed Description

template<typename T, typename MATRIX_FORMAT>
class b2000::solver::StaticLinearSolver< T, MATRIX_FORMAT >

Solve the static linear problem defined by:

minimize the function E(x) on the variables x (the potential energy function in a displacement based formulation) defined by: d_E / d_x (x) = K_i * x + f_i - K_e * x - f_e with the linear constraints on x: x = R * x_r + r L * x + l = 0

Where:

• d_e / d_x is the derivative of E relatively to the variables x.
• x (vector) is the degree of freedoms (the displacements in a displacement based formulation).
• K_i (matrix) and f_i (vector) define the linear value of the elements (the internal force in a displacement based formulation). K_i = Sum K_element f_i = Sum f_element
• K_e (matrix) and f_e (vector) define the linear value of the natural boundary condition (the external force in a displacement based formulation).
• x_r (vector) is the degree of freedom in the reduction model.
• R (matrix) and r (vector) define the linear model reduction.

• L (matrix) and l (vector) define the linear essential boundary conditions.

  This version accepts multiple cases with different model reduction, essential and natural boundary conditions and domain property. In this case, the order of the computation is well optimized to reduce the total cost of the resolution.

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

• solvers/b2static_linear_solver.H