CardiacNewtonSolver< SIZE, CELLTYPE > Class Template Reference
#include <CardiacNewtonSolver.hpp>
Public Member Functions | |
| void | Solve (CELLTYPE &rCell, double time, double rCurrentGuess[SIZE]) |
Static Public Member Functions | |
| static CardiacNewtonSolver < SIZE, CELLTYPE > * | Instance () |
Protected Member Functions | |
| CardiacNewtonSolver () | |
| CardiacNewtonSolver (const CardiacNewtonSolver< SIZE, CELLTYPE > &) | |
| CardiacNewtonSolver< SIZE, CELLTYPE > & | operator= (const CardiacNewtonSolver< SIZE, CELLTYPE > &) |
| void | SolveLinearSystem () |
Private Attributes | |
| c_vector< double, SIZE > | mResidual |
| double | mJacobian [SIZE][SIZE] |
| c_vector< double, SIZE > | mUpdate |
Detailed Description
template<unsigned SIZE, typename CELLTYPE>
class CardiacNewtonSolver< SIZE, CELLTYPE >
Specialised Newton solver for solving the nonlinear systems arising when simulating a cardiac cell using Backward Euler.
The class is templated by the size of the nonlinear system, and uses the singleton pattern to ensure only 1 solver for any given system size is created. This allows us to be both computationally and memory efficient.
It would be nice to have a test of this class directly, but you need a cardiac cell in order to test it. So all tests occur when testing particular cardiac cells, e.g. the LuoRudy1991BackwardEuler.
Definition at line 50 of file CardiacNewtonSolver.hpp.
Constructor & Destructor Documentation
| CardiacNewtonSolver< SIZE, CELLTYPE >::CardiacNewtonSolver | ( | ) | [inline, protected] |
Singleton pattern - protected default constructor.
Definition at line 139 of file CardiacNewtonSolver.hpp.
| CardiacNewtonSolver< SIZE, CELLTYPE >::CardiacNewtonSolver | ( | const CardiacNewtonSolver< SIZE, CELLTYPE > & | ) | [protected] |
Singleton pattern - protected copy constructor. Not implemented.
Member Function Documentation
| static CardiacNewtonSolver<SIZE, CELLTYPE>* CardiacNewtonSolver< SIZE, CELLTYPE >::Instance | ( | ) | [inline, static] |
Call this method to obtain a solver instance.
- Returns:
- a single instance of the class
Definition at line 42 of file CardiacNewtonSolver.hpp.
| CardiacNewtonSolver<SIZE, CELLTYPE>& CardiacNewtonSolver< SIZE, CELLTYPE >::operator= | ( | const CardiacNewtonSolver< SIZE, CELLTYPE > & | ) | [protected] |
Singleton pattern - protected assignment operator. Not implemented.
| void CardiacNewtonSolver< SIZE, CELLTYPE >::Solve | ( | CELLTYPE & | rCell, | |
| double | time, | |||
| double | rCurrentGuess[SIZE] | |||
| ) | [inline] |
Use Newton's method to solve the given cell for the next timestep.
- Parameters:
-
rCell the cell to solve time the current time rCurrentGuess the current guess at a solution. Will be updated on exit.
Definition at line 55 of file CardiacNewtonSolver.hpp.
| void CardiacNewtonSolver< SIZE, CELLTYPE >::SolveLinearSystem | ( | ) | [inline, protected] |
Solve a linear system to calculate the Newton update step
This is solving Jacbian . update = residual for update given values of the Jacobian matrix and residual
The implementation does Gaussian elimination with no pivotting and no underflow checking
Definition at line 155 of file CardiacNewtonSolver.hpp.
Member Data Documentation
double CardiacNewtonSolver< SIZE, CELLTYPE >::mJacobian[SIZE][SIZE] [private] |
Working memory : Jacobian matrix
Definition at line 184 of file CardiacNewtonSolver.hpp.
c_vector<double, SIZE> CardiacNewtonSolver< SIZE, CELLTYPE >::mResidual [private] |
Working memory : residual vector
Definition at line 182 of file CardiacNewtonSolver.hpp.
c_vector<double, SIZE> CardiacNewtonSolver< SIZE, CELLTYPE >::mUpdate [private] |
Working memory : update vector
Definition at line 186 of file CardiacNewtonSolver.hpp.
The documentation for this class was generated from the following file:
- heart/src/odes/CardiacNewtonSolver.hpp
