#include <util.hh>
Detailed Description
template<class Vector, class Norm>
class Kaskade::SDCUtilOneNorm< Vector, Norm >
class Kaskade::SDCUtilOneNorm< Vector, Norm >
Inheritance diagram for Kaskade::SDCUtilOneNorm< Vector, Norm >:
Public Types | |
| using | field_type = typename Vector::value_type |
| using | RealVector = Dune::DynamicVector< double > |
| using | RealMatrix = Dune::DynamicMatrix< double > |
Public Member Functions | |
| virtual RealVector const & | computeAlphaVec (RealVector const &timePts, RealMatrix const &integrationMatrix, std::vector< Vector > const &yPrev, std::vector< Vector > const &yCurrent, std::vector< Vector > const &yNext) |
| virtual | ~SDCUtilOneNorm () |
| field_type | sdcContractionFactor (std::vector< Vector > const &yPrev, std::vector< Vector > const &yCurrent, std::vector< Vector > const &yNext, Norm &norm) |
Member Typedef Documentation
◆ field_type
template<class Vector , class Norm >
| using Kaskade::SDCUtilOneNorm< Vector, Norm >::field_type = typename Vector::value_type |
◆ RealMatrix
template<class Vector , class Norm >
| using Kaskade::SDCUtilOneNorm< Vector, Norm >::RealMatrix = Dune::DynamicMatrix<double> |
◆ RealVector
template<class Vector , class Norm >
| using Kaskade::SDCUtilOneNorm< Vector, Norm >::RealVector = Dune::DynamicVector<double> |
Constructor & Destructor Documentation
◆ ~SDCUtilOneNorm()
template<class Vector , class Norm >
|
inlinevirtual |
Member Function Documentation
◆ computeAlphaVec()
template<class Vector , class Norm >
|
inlinevirtual |
- Parameters
-
timePts : Represents a vector of time points integrationMatrix yPrev yCurrent yNext
- Returns
Implements Kaskade::SDCUtil< Vector, Norm >.
◆ sdcContractionFactor()
template<class Vector , class Norm >
|
inherited |
This function computes an estimate of the SDC contraction factor ( \( \rho \)) given three consecutive iterations of \( y \) and depends on the given norm. The estimate of \( \rho \) is given by:
\begin{eqnarray*} \rho & = & \frac{\|y^{[j+1]} - y^{[j]}\|}{\|y^{[j]} - y^{[j-1]}\| + \|y^{[j+1]} - y^{[j]}\|} \end{eqnarray*}
- Parameters
-
[in] yPrev a Vector denoting previous iterate of \( y \). [in] yCurrent a Vector denoting current iterate of \( y \). [in] yNext a Vector denoting next iterate of \( y \) as obtained from SDC iteration step. [in] norm an object of abstract base class type Norm, where we can provide the specific norm we consider for a problem.
- Returns
- \( \rho \) an estimate of the SDC contraction factor. Return type is Vector::field_type
Definition at line 466 of file util.hh.
Referenced by Kaskade::SDCUtilOneNorm< Vector, Norm >::computeAlphaVec().
The documentation for this class was generated from the following file:
