Principal modified functions. More...
#include <principal.hpp>
Public Types | |
Typedefs | |
|
typedef Principal< Degree, T, StoragePolicy > | self_type |
| typedef T | value_type |
| typedef StoragePolicy< value_type > | storage_policy |
| typedef storage_policy::matrix_type | matrix_type |
|
typedef storage_policy::vector_matrix_type | vector_matrix_type |
|
typedef storage_policy::matrix_node_type | matrix_node_type |
| typedef storage_policy::node_type | node_type |
|
typedef storage_policy::vector_vector_matrix_type | vector_vector_matrix_type |
| typedef storage_policy::vector_type | vector_type |
Public Member Functions | |
| self_type const & | operator= (self_type const &d) |
| matrix_type | derivate_1 (vector_type const &__pts) const |
| vector_matrix_type | derivate_2 (vector_type const &__pts) const |
| vector_vector_matrix_type | derivate_3 (vector_type const &__pts) const |
Constructors, destructor | |
| Principal () | |
| Principal (value_type a, value_type b) | |
| ~Principal () | |
Accessors | |
| uint16_type | degree () const |
Methods | |
| value_type | a () const |
| value_type | b () const |
| matrix_type | evaluate_1 (vector_type const &__pts) const |
| vector_matrix_type | evaluate_2 (vector_type const &__pts) const |
| vector_vector_matrix_type | evaluate_3 (vector_type const &__pts) const |
Static Public Attributes | |
| static const uint16_type | nOrder = Degree |
Detailed Description
template<uint16_type Degree, typename T = double, template< class > class StoragePolicy = StorageUBlas>
class Feel::Principal< Degree, T, StoragePolicy >
Principal modified functions.
This class is a useful class to construct multidimensionnal boundary adapted expansions basis. It is constructed following the section 3.2.3.1 of the book from Sherwin and Karniadakis "Spectral/hp element methods for computational fluid dynamics".
- See also:
- dubiner.hpp
Member Function Documentation
template<uint16_type Degree, typename T , template< class > class StoragePolicy>
| Principal< Degree, T, StoragePolicy >::matrix_type Feel::Principal< Degree, T, StoragePolicy >::evaluate_1 | ( | vector_type const & | __pts | ) | const |
evaluate the Principal functions at a set of points __pts
- __pts is a set of points in one dimension One order principal function
template<uint16_type Degree, typename T , template< class > class StoragePolicy>
| Principal< Degree, T, StoragePolicy >::vector_matrix_type Feel::Principal< Degree, T, StoragePolicy >::evaluate_2 | ( | vector_type const & | __pts | ) | const |
Second order principal function 
template<uint16_type Degree, typename T , template< class > class StoragePolicy>
| Principal< Degree, T, StoragePolicy >::vector_vector_matrix_type Feel::Principal< Degree, T, StoragePolicy >::evaluate_3 | ( | vector_type const & | __pts | ) | const |
Third order principal function 
