Index

A

A (pyiga.assemble.RestrictedLinearSystem attribute) active_cells() (pyiga.hierarchical.HSpace method) active_ev() (in module pyiga.bspline) active_functions() (pyiga.hierarchical.HSpace method) active_indices() (pyiga.hierarchical.HSpace method) add() (pyiga.vform.VForm method) all_exprs() (pyiga.vform.VForm method) als() (in module pyiga.tensor) als1() (in module pyiga.tensor) als1_ls() (in module pyiga.tensor) als1_ls_structured() (in module pyiga.tensor) animate_field() (in module pyiga.vis) apply() (pyiga.tensor.CanonicalOperator method) apply_matrix() (pyiga.bspline.BSplineFunc method) (pyiga.geometry.NurbsFunc method) apply_tprod() (in module pyiga.tensor) array_outer() (in module pyiga.tensor) as_expr() (in module pyiga.vform)

as_matrix() (in module pyiga.vform) as_nurbs() (pyiga.bspline.BSplineFunc method) as_vector() (in module pyiga.vform) (pyiga.bspline.BSplineFunc method) asarray() (in module pyiga.tensor) (pyiga.tensor.CanonicalTensor method) (pyiga.tensor.TensorProd method) (pyiga.tensor.TensorSum method) (pyiga.tensor.TuckerTensor method) asmatrix() (pyiga.tensor.CanonicalOperator method) assemble() (in module pyiga.assemble) (pyiga.assemble.Assembler method) assemble_entries() (in module pyiga.assemble) assemble_functional() (pyiga.hierarchical.HDiscretization method) assemble_matrix() (pyiga.hierarchical.HDiscretization method) assemble_rhs() (pyiga.hierarchical.HDiscretization method) assemble_system() (pyiga.assemble.Multipatch method) assemble_vf() (in module pyiga.assemble) Assembler (class in pyiga.assemble)

B

b (pyiga.assemble.RestrictedLinearSystem attribute) BaseBlockOperator (class in pyiga.operators) basisfuns() (pyiga.vform.VForm method) BlockDiagonalOperator() (in module pyiga.operators) BlockOperator() (in module pyiga.operators) boundary() (pyiga.bspline.BSplineFunc method) (pyiga.bspline.PhysicalGradientFunc method) (pyiga.geometry.NurbsFunc method) (pyiga.geometry.UserFunction method) (pyiga.hierarchical.HSpace method)

bounding_box() (pyiga.bspline.BSplineFunc method) (pyiga.bspline.PhysicalGradientFunc method) (pyiga.geometry.NurbsFunc method) (pyiga.geometry.UserFunction method) bspline_quarter_annulus() (in module pyiga.geometry) BSplineFunc (class in pyiga.bspline) BuiltinFuncExpr (class in pyiga.vform)

C

CanonicalOperator (class in pyiga.tensor) CanonicalTensor (class in pyiga.tensor) cell_extents() (pyiga.hierarchical.HSpace method) (pyiga.hierarchical.TPMesh method) cell_supp_indices() (pyiga.hierarchical.HSpace method) cells() (pyiga.hierarchical.TPMesh method) circle() (in module pyiga.geometry) circular_arc() (in module pyiga.geometry) circular_arc_3pt() (in module pyiga.geometry) circular_arc_5pt() (in module pyiga.geometry) circular_arc_7pt() (in module pyiga.geometry) coeffs (pyiga.bspline.BSplineFunc attribute) (pyiga.geometry.NurbsFunc attribute) coeffs_to_levelwise_funcs() (pyiga.hierarchical.HSpace method) coeffs_weights() (pyiga.geometry.NurbsFunc method) collocation() (in module pyiga.bspline) collocation_derivs() (in module pyiga.bspline) collocation_derivs_info() (in module pyiga.bspline) collocation_info() (in module pyiga.bspline)

combine_bcs() (in module pyiga.assemble) complete() (pyiga.assemble.RestrictedLinearSystem method) compress() (pyiga.tensor.TuckerTensor method) compute_dirichlet_bc() (in module pyiga.assemble) compute_dirichlet_bcs() (in module pyiga.assemble) (pyiga.assemble.Multipatch method) compute_initial_condition_01() (in module pyiga.assemble) compute_supports() (pyiga.hierarchical.HSpace method) ConstExpr (class in pyiga.vform) copy() (pyiga.bspline.BSplineFunc method) (pyiga.bspline.KnotVector method) (pyiga.geometry.NurbsFunc method) (pyiga.hierarchical.HSpace method) (pyiga.tensor.CanonicalTensor method) (pyiga.tensor.TuckerTensor method) cos() (in module pyiga.vform) crank_nicolson() (in module pyiga.solvers) cross() (in module pyiga.vform) curl() (in module pyiga.vform) cylinderize() (pyiga.bspline.BSplineFunc method)

D

deactivated_cells() (pyiga.hierarchical.HSpace method) deactivated_indices() (pyiga.hierarchical.HSpace method) dependency_graph() (pyiga.vform.VForm method) deriv() (in module pyiga.bspline) det() (in module pyiga.vform) DiagonalOperator (class in pyiga.operators) dim (pyiga.bspline.BSplineFunc attribute) (pyiga.geometry.NurbsFunc attribute) dirichlet_dofs() (pyiga.hierarchical.HSpace method)

dirk34() (in module pyiga.solvers) disk() (in module pyiga.geometry) div() (in module pyiga.vform) dot() (in module pyiga.vform) (pyiga.vform.Expr method) ds (in module pyiga.vform) dx (in module pyiga.vform) Dx() (in module pyiga.vform) dx() (pyiga.vform.Expr method)

E

esdirk23() (in module pyiga.solvers) esdirk34() (in module pyiga.solvers) ev() (in module pyiga.bspline) eval() (pyiga.bspline.BSplineFunc method) (pyiga.geometry.NurbsFunc method)

exp() (in module pyiga.vform) Expr (class in pyiga.vform) extend() (pyiga.assemble.RestrictedLinearSystem method) eye() (pyiga.tensor.CanonicalOperator static method)

F

fastdiag_solver() (in module pyiga.solvers) finalize() (pyiga.assemble.Multipatch method) (pyiga.vform.VForm method) find_inverse() (pyiga.bspline.BSplineFunc method) (pyiga.bspline.PhysicalGradientFunc method) (pyiga.geometry.NurbsFunc method) (pyiga.geometry.UserFunction method) find_truncation_rank() (in module pyiga.tensor) find_vf() (pyiga.vform.Expr method) (pyiga.vform.PartialDerivExpr method) (pyiga.vform.VarRefExpr method)

findspan() (pyiga.bspline.KnotVector method) first_active() (pyiga.bspline.KnotVector method) first_active_at() (pyiga.bspline.KnotVector method) fro_norm() (in module pyiga.tensor) from_tensor() (pyiga.tensor.CanonicalTensor static method) (pyiga.tensor.TuckerTensor static method) from_terms() (pyiga.tensor.CanonicalTensor static method) func_supp_indices() (pyiga.hierarchical.HSpace method) function_support() (pyiga.hierarchical.HSpace method) functions() (pyiga.hierarchical.TPMesh method)

G

gauss_seidel() (in module pyiga.solvers) GaussSeidelSmoother() (in module pyiga.solvers) GaussWeightExpr (class in pyiga.vform) get_virtual_space() (pyiga.hierarchical.HSpace method) global_indices() (pyiga.hierarchical.HSpace method) global_to_patch() (pyiga.assemble.Multipatch method) grad() (in module pyiga.vform) greville() (pyiga.bspline.KnotVector method) grid_eval() (pyiga.bspline.BSplineFunc method) (pyiga.hierarchical.HSpace method) (pyiga.hierarchical.HSplineFunc method)

grid_hessian() (pyiga.bspline.BSplineFunc method) (pyiga.hierarchical.HSplineFunc method) grid_jacobian() (pyiga.bspline.BSplineFunc method) (pyiga.hierarchical.HSplineFunc method) grou() (in module pyiga.tensor) gta() (in module pyiga.tensor) gta_ls() (in module pyiga.tensor)

H

hash_key() (pyiga.vform.ConstExpr method) (pyiga.vform.Expr method) (pyiga.vform.GaussWeightExpr method) (pyiga.vform.PartialDerivExpr method) (pyiga.vform.ScalarOperExpr method) (pyiga.vform.TensorOperExpr method) (pyiga.vform.VarRefExpr method)

hb_to_thb() (pyiga.hierarchical.HSpace method) HDiscretization (class in pyiga.hierarchical) hess() (in module pyiga.vform) hosvd() (in module pyiga.tensor) HSpace (class in pyiga.hierarchical) HSplineFunc (class in pyiga.hierarchical)

I

identity() (in module pyiga.geometry) IdentityOperator (class in pyiga.operators) incidence_matrix() (pyiga.hierarchical.HSpace method) indices_to_D() (pyiga.vform.VForm method) init_from_kvs() (pyiga.hierarchical.HSpace static method) inner() (in module pyiga.vform) inner_products() (in module pyiga.assemble) input() (pyiga.vform.VForm method) InputField (class in pyiga.vform) integrate() (in module pyiga.assemble) interpolate() (in module pyiga.approx) (in module pyiga.bspline) inv() (in module pyiga.vform)

is_matrix() (pyiga.vform.Expr method) is_scalar() (pyiga.bspline.BSplineFunc method) (pyiga.bspline.PhysicalGradientFunc method) (pyiga.geometry.NurbsFunc method) (pyiga.geometry.UserFunction method) (pyiga.vform.Expr method) is_subspace_of() (pyiga.hierarchical.HSpace method) is_vector() (pyiga.bspline.BSplineFunc method) (pyiga.bspline.PhysicalGradientFunc method) (pyiga.geometry.NurbsFunc method) (pyiga.geometry.UserFunction method) (pyiga.vform.Expr method) iterative_solve() (in module pyiga.solvers) iterexprs() (in module pyiga.vform)

J

join_boundaries() (pyiga.assemble.Multipatch method)

join_dofs() (pyiga.assemble.Multipatch method) join_tucker_bases() (in module pyiga.tensor)

K

knot_insertion() (in module pyiga.bspline) KnotVector (class in pyiga.bspline) knotvectors() (pyiga.hierarchical.HSpace method) kron() (pyiga.tensor.CanonicalOperator method)

KroneckerOperator (class in pyiga.operators) kv (pyiga.bspline.KnotVector attribute) kvs (pyiga.bspline.BSplineFunc attribute) (pyiga.geometry.NurbsFunc attribute)

L

let() (pyiga.vform.VForm method) line_segment() (in module pyiga.geometry) linearize_vars() (pyiga.vform.VForm method)

LiteralMatrixExpr (class in pyiga.vform) LiteralVectorExpr (class in pyiga.vform) load_vector() (in module pyiga.bspline) log() (in module pyiga.vform)

M

make_knots() (in module pyiga.bspline) make_kronecker_solver() (in module pyiga.operators) make_solver() (in module pyiga.operators) make_var_expr() (in module pyiga.vform) mapexprs() (in module pyiga.vform) mass() (in module pyiga.assemble) mass_fast() (in module pyiga.assemble) MatMatExpr (class in pyiga.vform) matricize() (in module pyiga.tensor) MatVecExpr (class in pyiga.vform) mesh (pyiga.bspline.KnotVector property) mesh() (pyiga.hierarchical.HSpace method) mesh_span_indices() (pyiga.bspline.KnotVector method) mesh_support_idx() (pyiga.bspline.KnotVector method)

mesh_support_idx_all() (pyiga.bspline.KnotVector method) meshsize_avg() (pyiga.bspline.KnotVector method) modek_tprod() (in module pyiga.tensor) module pyiga.approx pyiga.assemble pyiga.bspline pyiga.geometry pyiga.hierarchical pyiga.operators pyiga.solvers pyiga.tensor pyiga.vform pyiga.vis Multipatch (class in pyiga.assemble)

N

ndim (pyiga.tensor.CanonicalOperator attribute) NegExpr (class in pyiga.vform) neighbors() (pyiga.hierarchical.TPMesh method) new_indices() (pyiga.hierarchical.HSpace method) newton() (in module pyiga.solvers) NoConvergenceError non_dirichlet_dofs() (pyiga.hierarchical.HSpace method) norm() (in module pyiga.vform) (pyiga.tensor.CanonicalTensor method) (pyiga.tensor.TuckerTensor method) NullOperator (class in pyiga.operators) num_components() (pyiga.vform.VForm method) num_spaces() (pyiga.vform.VForm method)

numactive (pyiga.hierarchical.HSpace property) numdofs (pyiga.assemble.Multipatch property) (pyiga.bspline.KnotVector property) (pyiga.hierarchical.HSpace property) numdofs() (in module pyiga.bspline) numlevels (pyiga.hierarchical.HSpace property) numpatches (pyiga.assemble.Multipatch property) numspans (pyiga.bspline.KnotVector property) NurbsFunc (class in pyiga.geometry) nway_prod() (pyiga.tensor.CanonicalTensor method) (pyiga.tensor.TensorProd method) (pyiga.tensor.TensorSum method) (pyiga.tensor.TuckerTensor method)

O

ones() (pyiga.tensor.CanonicalTensor static method) (pyiga.tensor.TuckerTensor static method) OperatorSmoother() (in module pyiga.solvers) orthogonalize() (pyiga.tensor.TuckerTensor method)

outer() (in module pyiga.tensor) (in module pyiga.vform) outer_product() (in module pyiga.geometry) outer_sum() (in module pyiga.geometry) OuterProdExpr (class in pyiga.vform)

P

p (pyiga.bspline.KnotVector attribute) pad() (in module pyiga.tensor) Parameter (class in pyiga.vform) parameter() (pyiga.vform.VForm method) PardisoSolverWrapper (class in pyiga.operators) PartialDerivExpr (class in pyiga.vform) patch_to_global() (pyiga.assemble.Multipatch method) patch_to_global_idx() (pyiga.assemble.Multipatch method) perturb() (pyiga.bspline.BSplineFunc method) perturbed_square() (in module pyiga.geometry) PhysicalGradientFunc (class in pyiga.bspline) plot_active_cells() (in module pyiga.vis) plot_curve() (in module pyiga.vis) plot_field() (in module pyiga.vis) plot_geo() (in module pyiga.vis) plot_hierarchical_cells() (in module pyiga.vis) plot_hierarchical_mesh() (in module pyiga.vis) pointwise_eval() (pyiga.bspline.BSplineFunc method) (pyiga.geometry.NurbsFunc method) pointwise_jacobian() (pyiga.bspline.BSplineFunc method) (pyiga.geometry.NurbsFunc method) project_L2() (in module pyiga.approx) (in module pyiga.bspline)

prolongate_to() (pyiga.hierarchical.HSpace method) prolongation() (in module pyiga.bspline) pyiga.approx module pyiga.assemble module pyiga.bspline module pyiga.geometry module pyiga.hierarchical module pyiga.operators module pyiga.solvers module pyiga.tensor module pyiga.vform module pyiga.vis module

Q

quarter_annulus() (in module pyiga.geometry)

R

R (pyiga.tensor.CanonicalOperator attribute) ravel() (pyiga.tensor.CanonicalTensor method) (pyiga.tensor.TensorProd method) (pyiga.tensor.TensorSum method) (pyiga.tensor.TuckerTensor method) (pyiga.vform.Expr method) ravel_indices() (pyiga.hierarchical.HSpace method) raveled_to_virtual_canonical_indices() (pyiga.hierarchical.HSpace method) refine() (pyiga.bspline.KnotVector method) (pyiga.hierarchical.HSpace method) refine_region() (pyiga.hierarchical.HSpace method)

represent_fine() (pyiga.hierarchical.HSpace method) restrict() (pyiga.assemble.RestrictedLinearSystem method) restrict_matrix() (pyiga.assemble.RestrictedLinearSystem method) restrict_rhs() (pyiga.assemble.RestrictedLinearSystem method) RestrictedLinearSystem (class in pyiga.assemble) rodasp() (in module pyiga.solvers) ros3p() (in module pyiga.solvers) ros3pw() (in module pyiga.solvers) rosi2p1() (in module pyiga.solvers) rotate_2d() (pyiga.bspline.BSplineFunc method) (pyiga.geometry.NurbsFunc method) rowdaind2() (in module pyiga.solvers)

S

ScalarOperExpr (class in pyiga.vform) scale() (pyiga.bspline.BSplineFunc method) (pyiga.geometry.NurbsFunc method) Scope (class in pyiga.vform) sdim (pyiga.bspline.BSplineFunc attribute) (pyiga.geometry.NurbsFunc attribute) sdirk21() (in module pyiga.solvers) sdirk3() (in module pyiga.solvers) sdirk3_b() (in module pyiga.solvers) semicircle() (in module pyiga.geometry) SequentialSmoother() (in module pyiga.solvers) shape (pyiga.tensor.CanonicalOperator attribute) (pyiga.vform.Expr attribute) sin() (in module pyiga.vform) single_ev() (in module pyiga.bspline) solve_hmultigrid() (in module pyiga.solvers) spans_same_space_as() (pyiga.hierarchical.HSpace method)

split_coeffs() (pyiga.hierarchical.HSpace method) sqrt() (in module pyiga.vform) squeeze() (pyiga.tensor.CanonicalTensor method) (pyiga.tensor.TuckerTensor method) stiffness() (in module pyiga.assemble) stiffness_fast() (in module pyiga.assemble) SubspaceOperator (class in pyiga.operators) substitute_vec_components() (pyiga.vform.VForm method) support (pyiga.bspline.BSplineFunc property) (pyiga.geometry.NurbsFunc property) (pyiga.hierarchical.HSplineFunc property) support() (pyiga.bspline.KnotVector method) (pyiga.hierarchical.TPMesh method) support_idx() (pyiga.bspline.KnotVector method) supported_in() (pyiga.hierarchical.TPMesh method) SurfaceMeasureExpr (class in pyiga.vform) sym_index_to_seq() (in module pyiga.vform)

T

T (pyiga.tensor.CanonicalOperator property) (pyiga.vform.Expr property) tan() (in module pyiga.vform) tensor_product() (in module pyiga.geometry) TensorOperExpr (class in pyiga.vform) TensorProd (class in pyiga.tensor) TensorSum (class in pyiga.tensor) terms() (pyiga.tensor.CanonicalTensor method) thb_to_hb() (pyiga.hierarchical.HSpace method) total_active_cells (pyiga.hierarchical.HSpace property) tp_bsp_eval_pointwise() (in module pyiga.bspline) tp_bsp_eval_with_jac_pointwise() (in module pyiga.bspline) tp_bsp_jac_pointwise() (in module pyiga.bspline) tp_prolongation() (pyiga.hierarchical.HSpace method)

TPMesh (class in pyiga.hierarchical) tr() (in module pyiga.vform) transform() (pyiga.vform.VForm method) transformed_jacobian() (pyiga.bspline.BSplineFunc method) transitive_closure() (pyiga.vform.VForm method) transitive_deps() (pyiga.vform.VForm method) translate() (pyiga.bspline.BSplineFunc method) (pyiga.geometry.NurbsFunc method) trunc_indices() (pyiga.hierarchical.HSpace method) truncate() (pyiga.tensor.TuckerTensor method) truncate_one_level() (pyiga.hierarchical.HSpace method) TuckerTensor (class in pyiga.tensor) twisted_box() (in module pyiga.geometry) twogrid() (in module pyiga.solvers)

U

unit_cube() (in module pyiga.geometry) unit_square() (in module pyiga.geometry)

update() (pyiga.assemble.Assembler method) UserFunction (class in pyiga.geometry)

V

VarRefExpr (class in pyiga.vform) VectorCrossExpr (class in pyiga.vform)

VForm (class in pyiga.vform) VolumeMeasureExpr (class in pyiga.vform)

W

without_derivs() (pyiga.vform.PartialDerivExpr method) (pyiga.vform.VarRefExpr method)

X

x (pyiga.vform.Expr property)

Y

y (pyiga.vform.Expr property)

Z

z (pyiga.vform.Expr property)

zeros() (pyiga.tensor.CanonicalTensor static method) (pyiga.tensor.TuckerTensor static method)