This class will solve the generalized eigenvalue problem for two linear operators. One of them can be singular. More...
#include <sis.hpp>
Public Member Functions | |
| GeneralizedEigenSolver () | |
| Null constructor. More... | |
| void | compute (Linop< T > L, Linop< T > M, int num_vals) |
| Call this with an input Linear operator to solve for eigenvalues and vectors. The number of Eigen values/vectors is num_vals, num_vals has to be less than N. More... | |
| void | compute (const LinopMat< T > &Lmat_, const LinopMat< T > &Mmat_, int num_vals, const BcMat< T > &Lbc_) |
| This will use do the same work as compute(), but will overide all boundary conditions specified through BcVec and use the input BcMat instead. Read about class BcMat to see how this works, also see examples example/Ex_16.cpp and test/Visco_3D_pipe.cpp of how this is applied. This function is useful when boundary conditions are mixed between variables. Also, if you have boundary conditions that have an associated eigenvalue, see compute_with_constraints. More... | |
| void | compute_with_constraints (const LinopMat< T > &Lmat_, const LinopMat< T > &Mmat_, int num_vals, const BcMat< T > &Lbc_, const BcMat< T > &Mbc_) |
| void | compute_with_constraints (const LinopMat< T > &Lmat_, const LinopMat< T > &Mmat_, int num_vals, const BcMat< T > &Lbc_embed_, const BcMat< T > &Lbc_append_, const BcMat< T > &Mbc_append_) |
Public Attributes | |
| std::vector< ChebfunMat< std::complex< T > > > | eigenvectorsMat |
| Eigen::Matrix< std::complex< T >, Eigen::Dynamic, 1 > | eigenvalues |
Detailed Description
template<class T>
class sis::GeneralizedEigenSolver< T >
This class will solve the generalized eigenvalue problem for two linear operators. One of them can be singular.
Solves for
\[ \boldmath{L}\phi = \lambda \boldmath{M} \phi \]
.
Constructor & Destructor Documentation
◆ GeneralizedEigenSolver()
|
inline |
Member Function Documentation
◆ compute() [1/2]
|
inline |
Call this with an input Linear operator to solve for eigenvalues and vectors. The number of Eigen values/vectors is num_vals, num_vals has to be less than N.
Definition at line 3267 of file sis.hpp.
Referenced by sis::GeneralizedEigenSolver< std::complex< T > >::compute(), sis::SingularValueDecomposition< T >::compute(), and main().
◆ compute() [2/2]
|
inline |
This will use do the same work as compute(), but will overide all boundary conditions specified through BcVec and use the input BcMat instead. Read about class BcMat to see how this works, also see examples example/Ex_16.cpp and test/Visco_3D_pipe.cpp of how this is applied. This function is useful when boundary conditions are mixed between variables. Also, if you have boundary conditions that have an associated eigenvalue, see compute_with_constraints.
Definition at line 3276 of file sis.hpp.
References sis::LinopMat< T >::c, sis::MatGen< T >::compute(), sis::GeneralizedEigenSolver< T >::eigenvalues, sis::GeneralizedEigenSolver< T >::eigenvectorsMat, sis::MatGen< T >::mats2, sis::N, sis::LinopMat< T >::r, std::real(), and SIS_CHEB_SPACE.
◆ compute_with_constraints() [1/2]
|
inline |
Use this to solve eigenvalue problems where eigenvalues appears in the boundary condition, example, in eigenvalue problems with fluid-fluid interfaces. Again solvability must hold. That total of all the highest orders of every independent variable has to be equal to the total number of boundary conditions specified + the number of constraints. Further, please ensure that the boundary conditions and constraints are linearly independent, else this will throw an error.
Definition at line 3827 of file sis.hpp.
References sis::LinopMat< T >::c, sis::MatGen< T >::compute(), sis::MatGen< T >::con_mats, sis::GeneralizedEigenSolver< T >::eigenvalues, sis::GeneralizedEigenSolver< T >::eigenvectorsMat, sis::MatGen< T >::mats, sis::MatGen< T >::mats2, sis::N, sis::LinopMat< T >::r, std::real(), sis::LinopMat< T >::resize(), sis::LinopMat< T >::setConstant(), and SIS_CHEB_SPACE.
◆ compute_with_constraints() [2/2]
|
inline |
This is the most generic form of the eigenvalue solver, in which boundary conditions that don't have an associated eigenvalue are to be embedded ( using Lbc_embed_), and boundary conditions that have an associated eigevalue associated are to be appended. This means that you can go about solving problems where you would append boundary conditions anyway, instead of embedding them, see the example in our paper, and example/Ex_19.cpp.
Definition at line 4603 of file sis.hpp.
References sis::LinopMat< T >::c, sis::MatGen< T >::compute(), sis::GeneralizedEigenSolver< T >::eigenvalues, sis::GeneralizedEigenSolver< T >::eigenvectorsMat, sis::MatGen< T >::mats2, sis::N, sis::LinopMat< T >::r, std::real(), and SIS_CHEB_SPACE.
Member Data Documentation
◆ eigenvalues
| Eigen::Matrix<std::complex<T>, Eigen::Dynamic, 1> sis::GeneralizedEigenSolver< T >::eigenvalues |
Definition at line 3257 of file sis.hpp.
Referenced by sis::GeneralizedEigenSolver< T >::compute(), sis::GeneralizedEigenSolver< std::complex< T > >::compute(), sis::GeneralizedEigenSolver< T >::compute_with_constraints(), sis::GeneralizedEigenSolver< std::complex< T > >::computeAppend(), sis::GeneralizedEigenSolver< std::complex< T > >::keep(), sis::GeneralizedEigenSolver< std::complex< T > >::keepConverged(), main(), sis::GeneralizedEigenSolver< std::complex< T > >::removeInf(), and sis::GeneralizedEigenSolver< std::complex< T > >::sortByLargestReal().
◆ eigenvectorsMat
| std::vector<ChebfunMat<std::complex<T> > > sis::GeneralizedEigenSolver< T >::eigenvectorsMat |
Definition at line 3256 of file sis.hpp.
Referenced by sis::GeneralizedEigenSolver< T >::compute(), and sis::GeneralizedEigenSolver< T >::compute_with_constraints().
The documentation for this class was generated from the following file:
- includes/sis.hpp
