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double | HArDCore2D::scalar_product (const double &x, const double &y) |
| Scalar product between two reals.
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double | HArDCore2D::scalar_product (const VectorRd &x, const VectorRd &y) |
| Scalar product between two vectors.
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boost::multi_array< VectorRd, 2 > | HArDCore2D::matrix_vector_product (const boost::multi_array< MatrixRd, 2 > &basis_quad, const std::vector< VectorRd > &v_quad) |
| Take the product of a matrix-valued basis with a vector.
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boost::multi_array< VectorRd, 2 > | HArDCore2D::matrix_vector_product (const std::vector< MatrixRd > &m_quad, const boost::multi_array< VectorRd, 2 > &basis_quad) |
| Take the product of a matrix with a vector-valued basis.
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boost::multi_array< VectorRd, 2 > | HArDCore2D::vector_matrix_product (const std::vector< VectorRd > &v_quad, const boost::multi_array< MatrixRd, 2 > &basis_quad) |
| Take the product of (the transposed of) a vector with a matrix-valued basis.
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Eigen::MatrixXd | HArDCore2D::compute_gram_matrix (const boost::multi_array< VectorRd, 2 > &B1, const boost::multi_array< double, 2 > &B2, const QuadratureRule &qr) |
| Compute the Gram-like matrix given a family of vector-valued and one of scalar-valued functions by tensorizing the latter.
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Eigen::MatrixXd | HArDCore2D::compute_gram_matrix (const boost::multi_array< double, 2 > &B1, const boost::multi_array< double, 2 > &B2, const QuadratureRule &qr, const size_t nrows, const size_t ncols, const std::string sym="nonsym") |
| Compute the Gram-like matrix given the evaluation of two families of functions at quadrature nodes. This version is an overload for double-valued families, more efficient than the generic templated version.
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Eigen::MatrixXd | HArDCore2D::compute_gram_matrix (const boost::multi_array< double, 2 > &B1, const boost::multi_array< double, 2 > &B2, const QuadratureRule &qr, const std::string sym="nonsym") |
| Compute the Gram-like matrix given the evaluation of two families of functions at quadrature nodes. Consists in calling the double-valued version with nrows = nb of elements in B1, ncols = nb of elements in B2.
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Eigen::MatrixXd | HArDCore2D::compute_gram_matrix (const boost::multi_array< VectorRd, 2 > &B1, const boost::multi_array< VectorRd, 2 > &B2, const QuadratureRule &qr, const size_t nrows, const size_t ncols, const std::string sym="nonsym") |
| Compute the Gram-like matrix given the evaluation of two families of functions at quadrature nodes. This version is an overload for Vector2d-valued families, more efficient than the generic templated version.
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Eigen::MatrixXd | HArDCore2D::compute_gram_matrix (const boost::multi_array< VectorRd, 2 > &B1, const boost::multi_array< VectorRd, 2 > &B2, const QuadratureRule &qr, const std::string sym="nonsym") |
| Compute the Gram-like matrix given the evaluation of two families of functions at quadrature nodes. Consists in calling the Vector2d-valued version with nrows = nb of elements in B1, ncols = nb of elements in B2.
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Eigen::MatrixXd | HArDCore2D::compute_weighted_gram_matrix (const FType< VectorRd > &f, const BasisQuad< VectorRd > &B1, const BasisQuad< double > &B2, const QuadratureRule &qr, size_t n_rows=0, size_t n_cols=0) |
| Computes the Gram-like matrix of integrals (f dot phi_i, phi_j)
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Eigen::MatrixXd | HArDCore2D::compute_weighted_gram_matrix (const FType< VectorRd > &f, const BasisQuad< double > &B1, const BasisQuad< VectorRd > &B2, const QuadratureRule &qr, size_t n_rows=0, size_t n_cols=0) |
| Computes the Gram-like matrix of integrals (phi_i, f dot phi_j)
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