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Reference documentation for deal.II version 9.1.0-pre
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Reference documentation for deal.II version 9.1.0-pre
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#include <deal.II/base/tensor_product_polynomials_bubbles.h>
Public Member Functions | |
| template<class Pol > | |
| TensorProductPolynomialsBubbles (const std::vector< Pol > &pols) | |
| void | compute (const Point< dim > &unit_point, std::vector< double > &values, std::vector< Tensor< 1, dim >> &grads, std::vector< Tensor< 2, dim >> &grad_grads, std::vector< Tensor< 3, dim >> &third_derivatives, std::vector< Tensor< 4, dim >> &fourth_derivatives) const |
| double | compute_value (const unsigned int i, const Point< dim > &p) const |
| template<int order> | |
| Tensor< order, dim > | compute_derivative (const unsigned int i, const Point< dim > &p) const |
| Tensor< 1, dim > | compute_grad (const unsigned int i, const Point< dim > &p) const |
| Tensor< 2, dim > | compute_grad_grad (const unsigned int i, const Point< dim > &p) const |
| unsigned int | n () const |
 Public Member Functions inherited from TensorProductPolynomials< dim > | |
| TensorProductPolynomials (const std::vector< Pol > &pols) | |
| void | output_indices (std::ostream &out) const |
| void | set_numbering (const std::vector< unsigned int > &renumber) |
| const std::vector< unsigned int > & | get_numbering () const |
| const std::vector< unsigned int > & | get_numbering_inverse () const |
| void | compute (const Point< dim > &unit_point, std::vector< double > &values, std::vector< Tensor< 1, dim >> &grads, std::vector< Tensor< 2, dim >> &grad_grads, std::vector< Tensor< 3, dim >> &third_derivatives, std::vector< Tensor< 4, dim >> &fourth_derivatives) const |
| double | compute_value (const unsigned int i, const Point< dim > &p) const |
| Tensor< order, dim > | compute_derivative (const unsigned int i, const Point< dim > &p) const |
| Tensor< 1, dim > | compute_grad (const unsigned int i, const Point< dim > &p) const |
| Tensor< 2, dim > | compute_grad_grad (const unsigned int i, const Point< dim > &p) const |
| unsigned int | n () const |
Additional Inherited Members | |
| Static Public Attributes inherited from TensorProductPolynomials< dim > | |
| static const unsigned int | dimension |
| Protected Member Functions inherited from TensorProductPolynomials< dim > | |
| void | compute_index (const unsigned int i, unsigned int(&indices)[(dim > 0?dim:1)]) const |
| Protected Attributes inherited from TensorProductPolynomials< dim > | |
| std::vector< Polynomials::Polynomial< double > > | polynomials |
| unsigned int | n_tensor_pols |
| std::vector< unsigned int > | index_map |
| std::vector< unsigned int > | index_map_inverse |
Tensor product of given polynomials and bubble functions of form \((2*x_j-1)^{degree-1}\prod_{i=0}^{dim-1}(x_i(1-x_i))\). This class inherits most of its functionality from TensorProductPolynomials. The bubble enrichments are added for the last indices. index.
Definition at line 48 of file tensor_product_polynomials_bubbles.h.
| TensorProductPolynomialsBubbles< dim >::TensorProductPolynomialsBubbles | ( | const std::vector< Pol > & | pols | ) |
Constructor. pols is a vector of objects that should be derived or otherwise convertible to one-dimensional polynomial objects. It will be copied element by element into a private variable.
| void TensorProductPolynomialsBubbles< dim >::compute | ( | const Point< dim > & | unit_point, |
| std::vector< double > & | values, | ||
| std::vector< Tensor< 1, dim >> & | grads, | ||
| std::vector< Tensor< 2, dim >> & | grad_grads, | ||
| std::vector< Tensor< 3, dim >> & | third_derivatives, | ||
| std::vector< Tensor< 4, dim >> & | fourth_derivatives | ||
| ) | const |
Compute the value and the first and second derivatives of each tensor product polynomial at unit_point.
The size of the vectors must either be equal 0 or equal n(). In the first case, the function will not compute these values.
If you need values or derivatives of all tensor product polynomials then use this function, rather than using any of the compute_value(), compute_grad() or compute_grad_grad() functions, see below, in a loop over all tensor product polynomials.
Definition at line 219 of file tensor_product_polynomials_bubbles.cc.
| double TensorProductPolynomialsBubbles< dim >::compute_value | ( | const unsigned int | i, |
| const Point< dim > & | p | ||
| ) | const |
Compute the value of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.
Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each point value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function with values.size()==n() to get the point values of all tensor polynomials all at once and in a much more efficient way.
Definition at line 30 of file tensor_product_polynomials_bubbles.cc.
| Tensor<order, dim> TensorProductPolynomialsBubbles< dim >::compute_derivative | ( | const unsigned int | i, |
| const Point< dim > & | p | ||
| ) | const |
Compute the order order derivative of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.
Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each derivative value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function, see above, with the size of the appropriate parameter set to n() to get the point value of all tensor polynomials all at once and in a much more efficient way.
| Tensor< 1, dim > TensorProductPolynomialsBubbles< dim >::compute_grad | ( | const unsigned int | i, |
| const Point< dim > & | p | ||
| ) | const |
Compute the grad of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.
Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each derivative value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function, see above, with grads.size()==n() to get the point value of all tensor polynomials all at once and in a much more efficient way.
Definition at line 69 of file tensor_product_polynomials_bubbles.cc.
| Tensor< 2, dim > TensorProductPolynomialsBubbles< dim >::compute_grad_grad | ( | const unsigned int | i, |
| const Point< dim > & | p | ||
| ) | const |
Compute the second derivative (grad_grad) of the ith tensor product polynomial at unit_point. Here i is given in tensor product numbering.
Note, that using this function within a loop over all tensor product polynomials is not efficient, because then each derivative value of the underlying (one-dimensional) polynomials is (unnecessarily) computed several times. Instead use the compute() function, see above, with grad_grads.size()==n() to get the point value of all tensor polynomials all at once and in a much more efficient way.
Definition at line 116 of file tensor_product_polynomials_bubbles.cc.
| unsigned int TensorProductPolynomialsBubbles< dim >::n | ( | ) | const |
Return the number of tensor product polynomials plus the bubble enrichments. For n 1d polynomials this is ndim+1 if the maximum degree of the polynomials is one and ndim+dim otherwise.
1.8.11
