Index

_

__call__() (pytential.linalg.ProxyGeneratorBase method) (pytential.symbolic.execution.BoundExpression method) __init__() (pytential.linalg.ProxyGeneratorBase method) (pytential.qbx.QBXLayerPotentialSource method) (pytential.symbolic.pde.scalar.BiharmonicClampedPlateOperator method) (pytential.symbolic.pde.scalar.DirichletOperator method) (pytential.symbolic.pde.scalar.L2WeightedPDEOperator method) (pytential.symbolic.pde.scalar.NeumannOperator method) (pytential.symbolic.stokes.HebekerExteriorStokesOperator method) (pytential.symbolic.stokes.HsiaoKressExteriorStokesOperator method) (pytential.symbolic.stokes.StokesletWrapper method) (pytential.symbolic.stokes.StokesOperator method) (pytential.symbolic.stokes.StressletWrapper method)

A

abs (in module pytential.symbolic.primitives) AbstractQBXCostModel (class in pytential.qbx.cost) acos (in module pytential.symbolic.primitives) acosh (in module pytential.symbolic.primitives) aggregate_over_boxes() (boxtree.cost.AbstractFMMCostModel method) ambient_dim (pytential.source.LayerPotentialSourceBase attribute) (pytential.symbolic.stokes.StokesOperator attribute) (pytential.target.TargetBase attribute) apply() (pytential.symbolic.stokes.StokesletWrapper method) (pytential.symbolic.stokes.StressletWrapper method) apply_derivative() (pytential.symbolic.stokes.StokesletWrapper method) (pytential.symbolic.stokes.StressletWrapper method)

apply_pressure() (pytential.symbolic.stokes.StokesletWrapper method) (pytential.symbolic.stokes.StressletWrapper method) apply_stress() (pytential.symbolic.stokes.StokesletWrapper method) (pytential.symbolic.stokes.StressletWrapper method) area() (in module pytential.symbolic.primitives) area_element() (in module pytential.symbolic.primitives) as_dofdesc() (in module pytential.symbolic.primitives) asin (in module pytential.symbolic.primitives) asinh (in module pytential.symbolic.primitives) associate_targets_to_qbx_centers() (in module pytential.qbx.target_assoc) atan (in module pytential.symbolic.primitives) atan2 (in module pytential.symbolic.primitives) atanh (in module pytential.symbolic.primitives)

B

BiharmonicClampedPlateOperator (class in pytential.symbolic.pde.scalar) bind() (in module pytential) block_indices() (pytential.linalg.BlockIndexRanges method) (pytential.linalg.MatrixBlockIndexRanges method) block_shape() (pytential.linalg.MatrixBlockIndexRanges method) block_size() (pytential.linalg.BlockIndexRanges method)

block_take() (pytential.linalg.BlockIndexRanges method) (pytential.linalg.MatrixBlockIndexRanges method) BlockIndexRanges (class in pytential.linalg) BlockProxyPoints (class in pytential.linalg) BoundExpression (class in pytential.symbolic.execution) build_leaf_to_ball_lookup (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer property) build_traversal (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer property)

C

center_to_tree_targets() (pytential.qbx.geometry.QBXFMMGeometryData method) centers (pytential.linalg.BlockProxyPoints attribute) CenterToTargetList (class in pytential.qbx.geometry) cl_context (pytential.qbx.geometry.QBXFMMGeometryData attribute) (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer property) (pytential.source.LayerPotentialSourceBase attribute) code_getter (pytential.qbx.geometry.QBXFMMGeometryData attribute) col (pytential.linalg.MatrixBlockIndexRanges attribute) complex_dtype (pytential.source.LayerPotentialSourceBase attribute) conj (in module pytential.symbolic.primitives)

coord_dtype (pytential.qbx.geometry.QBXFMMGeometryData attribute) copy() (pytential.GeometryCollection method) (pytential.qbx.QBXLayerPotentialSource method) copy_targets_kernel() (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer method) cos (in module pytential.symbolic.primitives) cosh (in module pytential.symbolic.primitives) cost_model_compute_potential_insn() (pytential.source.PointPotentialSource method) cost_per_box() (pytential.symbolic.execution.BoundExpression method) cost_per_stage() (pytential.symbolic.execution.BoundExpression method) cross() (in module pytential.symbolic.primitives) curl() (in module pytential.symbolic.primitives)

D

D() (in module pytential.symbolic.primitives) d_dx() (in module pytential.symbolic.primitives) d_dy() (in module pytential.symbolic.primitives) d_dz() (in module pytential.symbolic.primitives) dd_axis() (in module pytential.symbolic.primitives) DEFAULT_SOURCE (class in pytential.symbolic.primitives) DEFAULT_TARGET (class in pytential.symbolic.primitives) density_discr (pytential.source.LayerPotentialSourceBase attribute)

Derivative (class in pytential.symbolic.primitives) dim (pytential.source.LayerPotentialSourceBase attribute) DirichletOperator (class in pytential.symbolic.pde.scalar) discr_stage (pytential.symbolic.primitives.DOFDescriptor attribute) DOFDescriptor (class in pytential.symbolic.primitives) Dp() (in module pytential.symbolic.primitives) drive_fmm() (in module pytential.qbx.fmm) dsource (in module pytential.symbolic.primitives)

E

ElementwiseMax (class in pytential.symbolic.primitives) ElementwiseSum (class in pytential.symbolic.primitives) estimate_kernel_specific_calibration_params() (pytential.qbx.cost.AbstractQBXCostModel method) eval() (pytential.symbolic.execution.BoundExpression method)

eval_qbx_expansions() (pytential.qbx.fmm.QBXExpansionWrangler method) exec_compute_potential_insn() (pytential.source.PointPotentialSource method) exp (in module pytential.symbolic.primitives) expansion_centers() (in module pytential.symbolic.primitives) expansion_radii() (in module pytential.symbolic.primitives)

F

FAILED (pytential.qbx.geometry.target_state attribute) failed_target_flags (pytential.qbx.QBXTargetAssociationFailedException attribute) filter_center_and_target_ids() (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer method) first_fundamental_form() (in module pytential.symbolic.primitives)

flat_centers() (pytential.qbx.geometry.QBXFMMGeometryData method) fmm_level_to_order (pytential.unregularized.UnregularizedLayerPotentialSource attribute) fmm_order (pytential.qbx.QBXLayerPotentialSource attribute) form_global_qbx_locals() (pytential.qbx.fmm.QBXExpansionWrangler method)

G

gather_block_neighbor_points() (in module pytential.linalg) geometry (pytential.symbolic.primitives.DOFDescriptor attribute) GeometryCollection (class in pytential) get_connection() (pytential.GeometryCollection method) get_density_var() (pytential.symbolic.pde.scalar.L2WeightedPDEOperator method) (pytential.symbolic.stokes.StokesOperator method) get_discretization() (pytential.GeometryCollection method) get_geometry() (pytential.GeometryCollection method) get_sqrt_weight() (pytential.symbolic.pde.scalar.L2WeightedPDEOperator method) get_sym_maxwell_plane_wave() (in module pytential.symbolic.pde.maxwell) get_sym_maxwell_point_source() (in module pytential.symbolic.pde.maxwell) get_unit_calibration_params() (pytential.qbx.cost.AbstractQBXCostModel static method)

get_weight() (pytential.symbolic.pde.scalar.L2WeightedPDEOperator method) global_qbx_centers() (pytential.qbx.geometry.QBXFMMGeometryData method) global_qbx_flags() (pytential.qbx.geometry.QBXFMMGeometryData method) gmres() (in module pytential.solve) GMRESError GMRESResult (class in pytential.solve) grad() (in module pytential.symbolic.primitives) grad_mv() (in module pytential.symbolic.primitives) granularity (pytential.symbolic.primitives.DOFDescriptor attribute) GRANULARITY_CENTER (class in pytential.symbolic.primitives) GRANULARITY_ELEMENT (class in pytential.symbolic.primitives) GRANULARITY_NODE (class in pytential.symbolic.primitives)

H

h_max() (in module pytential.symbolic.primitives)

HebekerExteriorStokesOperator (class in pytential.symbolic.stokes) HsiaoKressExteriorStokesOperator (class in pytential.symbolic.stokes)

I

imag (in module pytential.symbolic.primitives) indices (pytential.linalg.BlockIndexRanges attribute) (pytential.linalg.BlockProxyPoints attribute) int8 (class in numpy) int_g_dsource() (in module pytential.symbolic.primitives) int_g_vec() (in module pytential.symbolic.primitives) integral() (in module pytential.symbolic.primitives)

interp() (in module pytential.symbolic.primitives) Interpolation (class in pytential.symbolic.primitives) IntG (class in pytential.symbolic.primitives) is_unique_only_up_to_constant() (pytential.symbolic.pde.scalar.DirichletOperator method) (pytential.symbolic.pde.scalar.NeumannOperator method) iteration_count (pytential.solve.GMRESResult attribute) IterativeInverse (class in pytential.symbolic.primitives)

J

j_operator() (pytential.symbolic.pde.maxwell.PECChargeCurrentMFIEOperator method)

j_rhs() (pytential.symbolic.pde.maxwell.PECChargeCurrentMFIEOperator method)

K

kernel (pytential.symbolic.pde.scalar.L2WeightedPDEOperator attribute) kernel_dict (pytential.symbolic.stokes.StokesletWrapper attribute) (pytential.symbolic.stokes.StressletWrapper attribute)

key_value_sort (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer property)

L

L2WeightedPDEOperator (class in pytential.symbolic.pde.scalar) laplace() (in module pytential.symbolic.primitives)

LayerPotentialSourceBase (class in pytential.source) lists (pytential.qbx.geometry.CenterToTargetList attribute) log (in module pytential.symbolic.primitives)

M

m2l_rotation_angles() (pytential.qbx.geometry.QBXFMMGeometryData method) m2l_rotation_lists() (pytential.qbx.geometry.QBXFMMGeometryData method) make_block_index_from_array() (in module pytential.linalg) make_empty_refine_flags() (in module pytential.qbx.refinement) make_index_blockwise_product() (in module pytential.linalg) make_pde_aware_translation_cost_model() (in module pytential.qbx.cost) make_sym_mv() (in module pytential.symbolic.primitives) make_sym_surface_mv() (in module pytential.symbolic.primitives) make_taylor_translation_cost_model() (in module pytential.qbx.cost) MatrixBlockIndexRanges (class in pytential.linalg) mean() (in module pytential.symbolic.primitives) mean_curvature() (in module pytential.symbolic.primitives) merge() (pytential.GeometryCollection method) module pytential pytential.linalg.proxy pytential.linalg.utils pytential.qbx pytential.qbx.cost pytential.qbx.fmm pytential.qbx.geometry pytential.qbx.refinement pytential.qbx.target_assoc pytential.solve pytential.source pytential.symbolic.compiler pytential.symbolic.execution pytential.symbolic.mappers pytential.symbolic.pde.maxwell pytential.symbolic.pde.scalar pytential.symbolic.primitives pytential.symbolic.stokes pytential.target pytential.unregularized

N

n_cross() (in module pytential.symbolic.primitives) n_dot() (in module pytential.symbolic.primitives) nblocks (pytential.linalg.BlockIndexRanges attribute) (pytential.linalg.BlockProxyPoints attribute) (pytential.linalg.MatrixBlockIndexRanges attribute) ncenters (pytential.qbx.geometry.QBXFMMGeometryData attribute) ndofs (pytential.source.PointPotentialSource attribute) (pytential.target.TargetBase attribute) NeumannOperator (class in pytential.symbolic.pde.scalar) NO_QBX_NEEDED (pytential.qbx.geometry.target_state attribute) NodeMax (class in pytential.symbolic.primitives)

NodeMin (class in pytential.symbolic.primitives) nodes (pytential.source.PointPotentialSource attribute) nodes() (in module pytential.symbolic.primitives) (pytential.target.TargetBase method) NodeSum (class in pytential.symbolic.primitives) non_qbx_box_target_lists() (pytential.qbx.geometry.QBXFMMGeometryData method) normal() (in module pytential.symbolic.primitives) normal_derivative() (in module pytential.symbolic.primitives) nproxy (pytential.linalg.ProxyGeneratorBase attribute) nproxy_per_block (pytential.linalg.BlockProxyPoints attribute) ntargets (pytential.qbx.geometry.TargetInfo attribute) NumReferenceDerivative (class in pytential.symbolic.primitives)

O

Ones (class in pytential.symbolic.primitives) ones_vec() (in module pytential.symbolic.primitives) op_group_features() (pytential.source.PotentialSource method) operator() (pytential.symbolic.pde.scalar.BiharmonicClampedPlateOperator method) (pytential.symbolic.pde.scalar.DirichletOperator method) (pytential.symbolic.pde.scalar.L2WeightedPDEOperator method) (pytential.symbolic.pde.scalar.NeumannOperator method) (pytential.symbolic.stokes.StokesOperator method)

P

parametrization_derivative() (in module pytential.symbolic.primitives) parametrization_derivative_matrix() (in module pytential.symbolic.primitives) partition_by_nodes() (in module pytential.linalg) PECChargeCurrentMFIEOperator (class in pytential.symbolic.pde.maxwell) pick_used_centers (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer property) places (pytential.qbx.geometry.QBXFMMGeometryData attribute) (pytential.symbolic.execution.BoundExpression attribute) plot() (pytential.qbx.geometry.QBXFMMGeometryData method) PointPotentialSource (class in pytential.source) points (pytential.linalg.BlockProxyPoints attribute) PointsTarget (class in pytential.target) PotentialSource (class in pytential.source) prepare_rhs() (pytential.symbolic.pde.scalar.L2WeightedPDEOperator method) (pytential.symbolic.stokes.StokesOperator method) preprocess_optemplate() (pytential.source.PotentialSource method) pressure() (pytential.symbolic.stokes.StokesOperator method) pretty() (in module pytential.symbolic.primitives) project_to_tangential() (in module pytential.symbolic.primitives) ProxyGenerator (class in pytential.linalg) ProxyGeneratorBase (class in pytential.linalg) pseudoscalar() (in module pytential.symbolic.primitives) pytential module pytential.linalg.proxy module pytential.linalg.utils module pytential.qbx module pytential.qbx.cost module

pytential.qbx.fmm module pytential.qbx.geometry module pytential.qbx.refinement module pytential.qbx.target_assoc module pytential.solve module pytential.source module pytential.symbolic.compiler module pytential.symbolic.execution module pytential.symbolic.mappers module pytential.symbolic.pde.maxwell module pytential.symbolic.pde.scalar module pytential.symbolic.primitives module pytential.symbolic.stokes module pytential.target module pytential.unregularized module

Q

qbx_center_to_target_box() (pytential.qbx.geometry.QBXFMMGeometryData method) qbx_center_to_target_box_lookup() (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer method) qbx_cost_per_box() (pytential.qbx.cost.AbstractQBXCostModel method) qbx_cost_per_stage() (pytential.qbx.cost.AbstractQBXCostModel method) qbx_order (pytential.qbx.QBXLayerPotentialSource attribute) QBX_SOURCE_QUAD_STAGE2 (class in pytential.symbolic.primitives) QBX_SOURCE_STAGE1 (class in pytential.symbolic.primitives) QBX_SOURCE_STAGE2 (class in pytential.symbolic.primitives) QBXCostModel (class in pytential.qbx.cost)

QBXExpansionWrangler (class in pytential.qbx.fmm) QBXFMMGeometryData (class in pytential.qbx.geometry) QBXFMMGeometryDataCodeContainer (class in pytential.qbx.geometry) QBXLayerPotentialSource (class in pytential.qbx) QBXProxyGenerator (class in pytential.linalg) QBXSumpyExpansionWranglerCodeContainer (class in pytential.qbx.fmm) QBXTargetAssociation (class in pytential.qbx.target_assoc) QBXTargetAssociationFailedException (class in pytential.qbx) QBXTranslationCostModel (class in pytential.qbx.cost) QWeight (class in pytential.symbolic.primitives)

R

radii (pytential.linalg.BlockProxyPoints attribute) ranges (pytential.linalg.BlockIndexRanges attribute) real (in module pytential.symbolic.primitives) real_dtype (pytential.source.LayerPotentialSourceBase attribute) refine_flags (pytential.qbx.QBXTargetAssociationFailedException attribute) refine_geometry_collection() (in module pytential.qbx.refinement) RefinerCodeContainer (class in pytential.qbx.refinement) RefinerNotConvergedWarning (class in pytential.qbx.refinement) RefinerWrangler (class in pytential.qbx.refinement)

representation() (pytential.symbolic.pde.scalar.BiharmonicClampedPlateOperator method) (pytential.symbolic.pde.scalar.DirichletOperator method) (pytential.symbolic.pde.scalar.L2WeightedPDEOperator method) (pytential.symbolic.pde.scalar.NeumannOperator method) residual_norms (pytential.solve.GMRESResult attribute) ResidualPrinter (class in pytential.solve) rho_operator() (pytential.symbolic.pde.maxwell.PECChargeCurrentMFIEOperator method) rho_rhs() (pytential.symbolic.pde.maxwell.PECChargeCurrentMFIEOperator method) rotation_classes_builder (pytential.qbx.geometry.QBXFMMGeometryDataCodeContainer property) row (pytential.linalg.MatrixBlockIndexRanges attribute)

S

S() (in module pytential.symbolic.primitives) scattered_volume_field() (pytential.symbolic.pde.maxwell.PECChargeCurrentMFIEOperator method) scipy_op() (pytential.symbolic.execution.BoundExpression method) second_fundamental_form() (in module pytential.symbolic.primitives) shape_operator() (in module pytential.symbolic.primitives) side (pytential.symbolic.stokes.StokesOperator attribute) sin (in module pytential.symbolic.primitives) sinh (in module pytential.symbolic.primitives) solution (pytential.solve.GMRESResult attribute) source_dd (pytential.qbx.geometry.QBXFMMGeometryData attribute)

Sp() (in module pytential.symbolic.primitives) Spp() (in module pytential.symbolic.primitives) sqrt (in module pytential.symbolic.primitives) sqrt_jac_q_weight() (in module pytential.symbolic.primitives) srcindices (pytential.linalg.BlockProxyPoints attribute) starts (pytential.qbx.geometry.CenterToTargetList attribute) state (pytential.solve.GMRESResult attribute) StokesletWrapper (class in pytential.symbolic.stokes) StokesOperator (class in pytential.symbolic.stokes) StressletWrapper (class in pytential.symbolic.stokes) success (pytential.solve.GMRESResult attribute)

T

tan (in module pytential.symbolic.primitives) tangential_derivative() (in module pytential.symbolic.primitives) tangential_onb() (in module pytential.symbolic.primitives) tangential_to_xyz() (in module pytential.symbolic.primitives) tanh (in module pytential.symbolic.primitives) target_discr_starts (pytential.qbx.geometry.TargetInfo attribute) target_discrs_and_qbx_sides (pytential.qbx.geometry.QBXFMMGeometryData attribute) target_info() (pytential.qbx.geometry.QBXFMMGeometryData method) target_state (class in pytential.qbx.geometry)

target_to_center (pytential.qbx.target_assoc.QBXTargetAssociation attribute) TargetAssociationCodeContainer (class in pytential.qbx.target_assoc) TargetAssociationWrangler (class in pytential.qbx.target_assoc) TargetBase (class in pytential.target) TargetInfo (class in pytential.qbx.geometry) targets (pytential.qbx.geometry.TargetInfo attribute) to_numpy() (pytential.linalg.BlockProxyPoints method) translate_box_local_to_qbx_local() (pytential.qbx.fmm.QBXExpansionWrangler method) traversal() (pytential.qbx.geometry.QBXFMMGeometryData method) tree() (pytential.qbx.geometry.QBXFMMGeometryData method)

U

UnregularizedLayerPotentialSource (class in pytential.unregularized)

use_l2_weighting (pytential.symbolic.pde.scalar.L2WeightedPDEOperator attribute) user_target_to_center() (pytential.qbx.geometry.QBXFMMGeometryData method)

V

var (in module pytential.symbolic.primitives)

velocity() (pytential.symbolic.stokes.StokesOperator method)

W

weights_and_area_elements() (in module pytential.symbolic.primitives)

X

xyz_to_tangential() (in module pytential.symbolic.primitives)