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std::vector< Eigen::MatrixXd > | create_moment_dof_transformations (const FiniteElement &moment_space) |
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std::vector< Eigen::MatrixXd > | create_dot_moment_dof_transformations (const FiniteElement &moment_space) |
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std::vector< Eigen::MatrixXd > | create_normal_moment_dof_transformations (const FiniteElement &moment_space) |
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std::vector< Eigen::MatrixXd > | create_tangent_moment_dof_transformations (const FiniteElement &moment_space) |
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std::pair< Eigen::ArrayXXd, Eigen::MatrixXd > | make_integral_moments (const FiniteElement &moment_space, const cell::type celltype, const int value_size, const int poly_deg, const int q_deg) |
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std::pair< Eigen::ArrayXXd, Eigen::MatrixXd > | make_dot_integral_moments (const FiniteElement &moment_space, const cell::type celltype, const int value_size, const int poly_deg, const int q_deg) |
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std::pair< Eigen::ArrayXXd, Eigen::MatrixXd > | make_tangent_integral_moments (const FiniteElement &moment_space, const cell::type celltype, const int value_size, const int poly_deg, const int q_deg) |
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std::pair< Eigen::ArrayXXd, Eigen::MatrixXd > | make_normal_integral_moments (const FiniteElement &moment_space, const cell::type celltype, const int value_size, const int poly_deg, const int q_deg) |
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Integral moments
These functions generate dual set matrices for integral moments against spaces on a subentity of the cell
std::pair< Eigen::ArrayXXd, Eigen::MatrixXd > basix::moments::make_dot_integral_moments |
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const FiniteElement & |
moment_space, |
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const cell::type |
celltype, |
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const int |
value_size, |
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const int |
poly_deg, |
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const int |
q_deg |
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) |
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Make interpolation points and weights for dot product integral moments
These will represent the integral of each function in the moment space over each sub entity of the moment space's cell type in a cell with the given type. For example, if the input cell type is a triangle, and the moment space is a P1 space on an edge, this will perform two integrals for each of the 3 edges of the triangle.
- Parameters
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moment_space | The space to compute the integral moments against |
celltype | The cell type of the cell on which the space is being defined |
value_size | The value size of the space being defined |
poly_deg | The polynomial degree of the poly set that defines the space |
q_deg | The quadrature degree used for the integrals |
std::pair< Eigen::ArrayXXd, Eigen::MatrixXd > basix::moments::make_integral_moments |
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const FiniteElement & |
moment_space, |
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const cell::type |
celltype, |
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const int |
value_size, |
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const int |
poly_deg, |
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const int |
q_deg |
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) |
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Make interpolation points and weights for simple integral moments
These will represent the integral of each function in the moment space over each sub entity of the moment space's cell type in a cell with the given type. For example, if the input cell type is a triangle, and the moment space is a P1 space on an edge, this will perform two integrals for each of the 3 edges of the triangle.
- Parameters
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moment_space | The space to compute the integral moments against |
celltype | The cell type of the cell on which the space is being defined |
value_size | The value size of the space being defined |
poly_deg | The polynomial degree of the poly set that defines the space |
q_deg | The quadrature degree used for the integrals |