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| def | __init__ (self, order) |
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| def | center (self) |
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| def | volume (self) |
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| def | num_faces (self) |
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| def | num_dims (self) |
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| def | num_face_nodes (self) |
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| def | num_nodes (self) |
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| def | num_internal_nodes (self) |
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| def | identify_face_nodes (self) |
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| def | face_gq_node_sets (self) |
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| def | internal_flux_arrays (self) |
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| def | derivative_arrays (self) |
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| def | identify_orientations (self) |
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| def | tesselate_subelements (self) |
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| def | num_nodes_per_subelement (self) |
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| def | plot_basis (self, file) |
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| def | plot_collocation_nodes (self, ax) |
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| def | plot_optimal_gaussian_quad_nodes (self, ax) |
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| def | plot_lagrange_polynomials (self, fig) |
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| def | plot_orthogonal_polynomials (self, fig) |
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| def | plot_positivity_nodes (self, fig) |
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| def | __init__ (self, order, orthogonal_polynomials, monomials, collocation_nodes, exact_quadrature_rule, face_quadrature_rule, positivity_preserving_extra_quad_nodes) |
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| def | num_nodes (self) |
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| def | cfl_limit (self) |
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| def | ortho_collocation_vandermonde (self, sym='p') |
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| def | ortho_vandermonde (self, points, sym='p') |
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| def | V_inv (self) |
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| def | ortho_optimal_gq_vandermonde (self, sym='p') |
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| def | ortho_exact_quad_node_vandermonde (self, sym='p') |
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| def | lagrange_optimal_gq_vandermonde (self) |
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| def | monomial_collocation_vandermonde (self) |
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| def | lagrange_mass_matrix (self) |
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| def | M_inv (self) |
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| def | lagrange_advection_matrix (self, sym) |
| | Computes the "advection" matrix for the Lagrange polynomials: \int p_i(x) d/dr p_j(x) \, dx, where the integral is taken over the simplex element.
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| def | lift_matrices (self) |
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| def | element_average (self) |
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| def | element_center (self) |
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| def | evalute_at_positivity_preserving_extra_quad_nodes (self) |
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| def | optimal_gq_source_mass_matrix (self) |
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| def | lagrange_interpolating_polynomials (self) |
| | Return a list of polynomial objects which can be used to evaluate the Lagrange interpolating polynomials.
|
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| def | plot_positivity_nodes (self, ax) |
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| def | save_figures (self, file, figs) |
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◆ __init__()
| def triangle_basis.TriangleBasis.__init__ |
( |
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self, |
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order |
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) |
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◆ center() [1/2]
| def triangle_basis.TriangleBasis.center |
( |
| ) |
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static |
◆ center() [2/2]
| def triangle_basis.TriangleBasis.center |
( |
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self | ) |
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◆ derivative_arrays()
| def triangle_basis.TriangleBasis.derivative_arrays |
( |
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self | ) |
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◆ face_gq_node_sets()
| def triangle_basis.TriangleBasis.face_gq_node_sets |
( |
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self | ) |
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◆ identify_face_nodes()
| def triangle_basis.TriangleBasis.identify_face_nodes |
( |
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self | ) |
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◆ identify_orientations()
| def triangle_basis.TriangleBasis.identify_orientations |
( |
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self | ) |
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◆ internal_flux_arrays()
| def triangle_basis.TriangleBasis.internal_flux_arrays |
( |
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self | ) |
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◆ num_dims()
| def triangle_basis.TriangleBasis.num_dims |
( |
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self | ) |
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◆ num_face_nodes()
| def triangle_basis.TriangleBasis.num_face_nodes |
( |
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self | ) |
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◆ num_faces()
| def triangle_basis.TriangleBasis.num_faces |
( |
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self | ) |
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◆ num_internal_nodes()
| def triangle_basis.TriangleBasis.num_internal_nodes |
( |
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self | ) |
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◆ num_nodes()
| def triangle_basis.TriangleBasis.num_nodes |
( |
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self | ) |
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◆ num_nodes_per_subelement()
| def triangle_basis.TriangleBasis.num_nodes_per_subelement |
( |
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self | ) |
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◆ plot_basis()
| def triangle_basis.TriangleBasis.plot_basis |
( |
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self, |
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file |
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) |
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◆ plot_collocation_nodes()
| def triangle_basis.TriangleBasis.plot_collocation_nodes |
( |
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self, |
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ax |
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) |
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◆ plot_lagrange_polynomials()
| def triangle_basis.TriangleBasis.plot_lagrange_polynomials |
( |
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self, |
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fig |
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) |
| |
◆ plot_optimal_gaussian_quad_nodes()
| def triangle_basis.TriangleBasis.plot_optimal_gaussian_quad_nodes |
( |
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self, |
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ax |
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) |
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◆ plot_orthogonal_polynomials()
| def triangle_basis.TriangleBasis.plot_orthogonal_polynomials |
( |
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self, |
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fig |
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) |
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◆ plot_positivity_nodes()
| def triangle_basis.TriangleBasis.plot_positivity_nodes |
( |
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self, |
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fig |
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) |
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◆ prepare_node_plot()
| def triangle_basis.TriangleBasis.prepare_node_plot |
( |
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ax, |
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title |
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) |
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static |
◆ tesselate_subelements()
| def triangle_basis.TriangleBasis.tesselate_subelements |
( |
|
self | ) |
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◆ volume()
| def triangle_basis.TriangleBasis.volume |
( |
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self | ) |
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◆ kind
| triangle_basis.TriangleBasis.kind |
◆ optimal_gaussian_quadrature_rule
| triangle_basis.TriangleBasis.optimal_gaussian_quadrature_rule |
◆ order
| triangle_basis.TriangleBasis.order |
The documentation for this class was generated from the following file:
Public Attributes inherited from simplex_basis.Basis