Acoustic scattering — BEM · 153

Burton-Miller and transmission BEM, Galerkin formulations, and compressed operators with convergence ladders and adjoint certification. Method shown on hover; tolerance is the pass gate. back to QA

CaseTierReferenceGate
bem.layered-porous-surface.v1physics-gateindependent characteristic-impedance transfer-matrix recursion and centered frequency derivativesingle-layer and transfer errors <= 1e-12; derivative error <= 2e-5; absorption in [0,1]; four typed rejections
bem.galerkin-quad4-compressed-native.v1physics-gateindependent dense global Müller action plus admitted fine-source certified solveboth relative action errors <= 2e-7; exact-source residual <= 1e-8; all metrics finite
bem.fem-bem-trace-transfer.v1smokeconstant preservation, lumped-measure conservation, weighted Hermitian adjoint, coupled block materialization, typed rejectionall transfer, coupled forward/adjoint, and residual errors <= 1e-14; two typed invalid-input rejections
bem.fem-bem-trace-operator.v1contract-gatedense CoupledTraceSystem action parity and exact adjoint capabilityall three action errors <= 1e-12
bem.fem-bem-preconditioner.v1contract-gateindependent dense block actions, exact algebraic-transpose/Hermitian parity, typed rejectionall action errors <= 1e-12; one unknown-adjoint and one bad-state rejection
bem.2d-rigid-cylinder-reference.v1physics-gateindependent 2-D rigid-cylinder series field/far-field amplitude and RMS/peak per-length powerfour field/far-field/power and RMS/peak plus invalid-query admission checks pass
bem.2d-fluid-cylinder-reference.v1physics-gateindependent cylindrical Fourier pressure, far-field amplitude, and power referenceexterior/interior fields, interface traces, far-field amplitude, power, and invalid-query admission pass documented bounds
bem.2d-transmission-adjoint.v1physics-gateindependent assembled matrix action, true adjoint residual, and complex inner-product identityforward/adjoint/batch residuals and solution-action error <= 1e-10; adjoint invalid-point rejection >= 1; inner-product error <= 2e-12
bem.transmission-adjoint.v1physics-gateindependent Aᴴ residual and complex inner-product identityadjoint/batch residuals <= 1e-10; inner-product error <= 1e-9
bem.transmission-reciprocity.v1physics-gateweighted bilinear identity J A = (J A)^T with J pressure weight i/(s omega)maximum weighted reciprocity relative error <= 1e-6
bem.transmission-operator-contract.v1physics-gateindependent dense and matrix-free weighted transmission contractsdense reciprocity <= 1e-6; compressed reciprocity <= 5e-4; power balance <= 1e-12; passivity minimum >= 0
bem.transmission-higher-order.v1physics-gatefinite block matrices, certified linear residual, finite exterior fieldlinear residual <= 1e-9
bem.transmission-continuous-quadratic.v1physics-gateshared-DOF reduction, finite matrix/field, certified solve residual, independent FluidSphereTransmission3d fieldforward/adjoint residuals <= 1e-8; maximum Mie field error < 0.15
bem.transmission-compressed-parity.v1physics-gateindependently assembled dense transmission matrix action, conjugate-transpose action, forward/adjoint ILU-GMRES residuals, exact dense-source residual sentineldense-source actions <= 2e-2; on-demand parity <= 1e-12; compressed and exact source solve residuals <= 1e-8; at least one compressed block; adjoint batch count = 2; non-finite ACA/output rejection >=
bem.transmission-compressed-block-action.v1physics-gateindependent column-wise LinearOperator actionsblock-action relative error <= 1e-13; at least one compressed block; three RHS columns
bem.transmission-compressed-adjoint-block-action.v1physics-gateindependent column-wise compressed Hermitian actionsHermitian block-action relative error <= 1e-13; at least one compressed block; three RHS columns
bem.transmission-kernel-native-parity.v1physics-gatedense constant-panel transmission matrix assembled by the same production panel kernelsforward and transpose action errors <= 2e-7
bem.galerkin-single-layer.v1physics-gatematrix finiteness and transpose symmetry across self, common-edge, common-vertex, and separated pair routesfinite entries; matrix asymmetry <= 2e-8
bem.galerkin-quad4-pair.v1physics-gateindependent reverse-pair Galerkin blockreciprocity error <= 2e-10; finite linear/quadratic blocks; one common-edge and one common-vertex mapped touching pair
bem.galerkin-quad4-transmission-pair.v1physics-gatefinite curved physical-map block and changed output under non-planar corner geometrycurved geometry delta > 1e-6; self/touching blocks finite; permissive adjacent-order policy passes; zero-budget dense and compression gates reject
bem.galerkin-quad4-transmission-self.v1physics-gatefinite nonzero linear/quadratic self blocks and finite global self matrixlinear 8x8 and quadratic 18x18 blocks finite/nonzero; global 8x8 matrix finite/nonzero
bem.galerkin-linear-single-layer.v1physics-gatefinite panel-local linear Galerkin matrix with reported transpose diagnosticall entries finite; transpose asymmetry is reported diagnostically
bem.galerkin-quadratic-single-layer.v1physics-gatefinite panel-local quadratic Galerkin matrix with reported transpose diagnosticall entries finite; transpose asymmetry is reported diagnostically
bem.galerkin-conforming-linear-single-layer.v1physics-gatefinite conforming global matrix with reported transpose diagnosticall entries finite; transpose asymmetry reported diagnostically
bem.galerkin-double-layer-principal-value.v1physics-gatefinite touching-pair matrices, quadrature convergence, and separated K/K' transpose actionfinite entries; touching convergence <= 5e-4; separated reciprocity <= 2e-8
bem.galerkin-quadratic-double-layer.v1physics-gatefinite quadratic touching-pair matrices and separated K/K' transpose actionself-panel norm <= 1e-14; finite entries; separated reciprocity <= 2e-7
bem.galerkin-hypersingular-weak-form.v1physics-gatefinite complex-symmetric W matrix and closed-surface edge/DOF contractfinite entries; complex-symmetric asymmetry <= 1e-12
bem.galerkin-quadratic-hypersingular-weak-form.v1physics-gatefinite complex-symmetric quadratic W matrix and closed-surface edge/DOF contractfinite entries; complex-symmetric asymmetry <= 1e-12
bem.galerkin-hypersingular-open-boundary.v1physics-gatedirect finite-part Galerkin kernel parity with finite matrix entriesfinite entries; each direct parity error <= 1e-10
bem.galerkin-hypersingular-open-compressed.v1physics-gateindependent dense global Müller action on the same open finite-part entriesall action errors <= 1e-9; all metrics finite
bem.galerkin-muller-transmission.v1physics-gatefinite nonzero two-medium pressure and normal-velocity diagonal blocks with checked frequency/harmonic admissionall entries and field samples finite; both diagonal blocks strictly positive; both compressed action errors and compressed field error <= 1e-7 with at least one ACA block each; solve residuals <= 1e-8
bem.galerkin-curved-quad4-compressed-field.v1physics-gatedense curved Quad4 Galerkin Müller exterior total-pressure fieldcompressed field error <= 2e-6; matrix dimension = 52; all checked field values finite
bem.galerkin-muller-mie-convergence.v1physics-gateindependent two-medium spherical-Mie exterior total-pressure samplesfine L2 <= 0.001; fine pointwise <= 0.002; both adjacent L2 and pointwise refinement ratios <= 0.5; all three solve residuals <= 1e-8; three numerical solves; fine field magnitude > 0
bem.transmission-distributed-block-rows.v1physics-gateindependent column-wise compressed forward and transpose row actionsforward and transpose relative errors <= 1e-13; three rows; three RHS columns
bem.transmission-distributed-hermitian-block-rows.v1physics-gateindependent column-wise compressed Hermitian row actionsHermitian relative error <= 1e-13; three rows; three RHS columns
bem.transmission-distributed-rows.v1physics-gateglobal compressed forward and transpose actions on the same CPU operatorlocal action errors <= 1e-10; all 40 trace rows owned exactly once
bem.transmission-distributed-higher-order-rows.v1physics-gateglobal dense-ACA forward and transpose actions on the same CPU operatorlocal action errors <= 1e-10; every pressure and velocity row owned exactly once
bem.transmission-quadrature-policy.v1physics-gatedirect and typed-XEM checked builders agree in dimension; invalid order is rejected with typed medium errorvalid direct and typed-XEM paths agree; invalid policy rejection = 1
bem.transmission-compressed-field-parity.v1physics-gateindependent dense source operator and forward/Hermitian solutions on the identical mesh with fluid contrastall compressed solve residuals <=1e-10; fine field and dense residual errors <=1e-5; fine action errors <=1e-6; every adjacent field/action ratio <=0.25 above roundoff floor 1e-12; at least one low-ra
bem.adjoint-many.v1physics-gateindependent dense and compressed Hermitian-transposed matrix residual certificationthree RHS columns; dense residual <= 1e-10; H-matrix residual <= 1e-6
bem.adjoint-frequency-batch.v1physics-gateindependent dense and compressed exact-TBEM Hermitian-adjoint residual certification for every frequency/RHS columnfour compressed backends across two frequencies and two RHS columns; dense residual <= 1e-10; compressed residual <= 1e-6; independent exact-reference residual <= 1e-4; coefficient error <= 1e-4
bem.adjoint-compressed-backends.v1physics-gateindependent dense adjoint field, exact residual, and checked invalid-point certification for each compressed backendfour compressed backends across two frequencies; compressed residual <= 1e-6; independent exact-reference residual <= 1e-4; field error <= 1e-6; all eight invalid points rejected
bem.driver-loads.v1physics-gateindependent dense and compressed exact forward residual certificationtwo frequencies and two RHS columns; dense residual <= 1e-10; H-matrix residual <= 1e-6
bem.driver-loads-compressed.v1physics-gateindependent matrix-free exact TBEM forward residual certification for compressed backendsthree compressed backends; maximum residual <= 1e-6; exact-reference residual <= 1e-5; coefficient and field error <= 5e-5
bem.higher-order-exact-residual.v1physics-gateindependent matrix-free basis-weighted TBEM forward/Hermitian action with curved collocation/nodal normals for FMM pathseight cases (H-matrix linear/quadratic/continuous quadratic, impedance, SLFMM discontinuous/continuous quadratic, MLFMM discontinuous/continuous quadratic, directional-MLFMM continuous quadratic); for
bem.wavenumber-objective-gradient.v1physics-gateindependent central finite differences in wavenumber and sound speedboth relative errors <= 2e-5
bem.wavenumber-objective-gradient-batch.v1physics-gateindependent per-frequency BemSolver::solve_wavenumber_objective_gradient resultstwo-frequency batch/scalar error <= 1e-12; finite gradients; mismatched batch cardinality rejected
bem.hmatrix-wavenumber-objective-gradient.v1physics-gateindependent centered finite difference in wavenumberbackend-maximum relative error <= 5e-2
bem.compressed-field-parity.v1physics-gateindependent dense TBEM pressure field plus checked finite-value/invalid-point contractmaximum relative field error <= 5e-2; all four checked backends and invalid-point rejections
bem.checked-field-evaluation.v1physics-gateinfallible field parity plus typed FieldEvaluationError rejection contractsall checked values finite; non-finite points and malformed buffers reject
bem.field-gradient.v1physics-gateindependent central difference of the production pressure evaluatormaximum relative error <= 3e-3; invalid point rejected
bem.hmatrix-material-objective-gradients.v1physics-gateindependent centered finite differences in sound speed and densityboth backend-maximum relative errors <= 5e-2
bem.compressed-impedance-material-objective-gradient.v1physics-gateindependent centered H-matrix solves for speed and density perturbationsboth relative errors <= 3e-4; all metrics finite
bem.compressed-higher-order-material-objective-gradients.v1physics-gateindependent centered finite differences in sound speed and densityboth backend-maximum relative errors <= 5e-2
bem.compressed-higher-order-wavenumber-objective-gradient.v1physics-gateindependent centered finite difference in wavenumbermaximum backend relative error <= 5e-2
bem.higher-order-mlfmm-wavenumber-derivative.v1physics-gateindependent centered wavenumber perturbation of the same MLFMM value factorsboth relative errors <= 3e-3
bem.higher-order-soft-dirichlet.v1physics-gatefinite-value and field-evaluation contract across three basis configurationsat least three configurations, at least one DOF, and finite surface/field values
bem.density-objective-gradient.v1physics-gateindependent centered finite difference in medium densityrelative error <= 2e-5
bem.near-singular-quadrature-reference.v1physics-gateindependent higher-order regular integration rulestrictly monotone errors and order-32 absolute error < 1e-10
bem.distributed-ownership.v1physics-gateindependent sorted global-row ownership and deterministic replayduplicate row count = 0; all shared rows owned exactly once; scatter/gather round-trip = 1
bem.distributed-krylov.v1physics-gateloopback all-gather, independent diagonal solution, and global residual replayrelative residual <= 1e-12; maximum solution error <= 1e-10; typed rejection count >= 2
bem.compressed-wavenumber-derivative.v1physics-gateindependent central difference of compressed H-matrix actionsrelative action error <= 3e-4; at least one low-rank block
bem.compressed-fmm-wavenumber-derivative.v1physics-gateindependent centered compressed SLFMM/MLFMM/directional-MLFMM actionsall relative action errors <= 2e-3
bem.batch-schedule.v1reference-onlyindependent schedule validation and exact workload coveragecovered items >= 30; peak reserved RAM <= 130 bytes
bem.transmission-transparent-limit.v1physics-gateindependent analytic plane-wave field in the equal-medium transparent-interface limittotal-field and scattered-pressure errors <= 1e-3; certified relative residual <= 1e-10
bem.sphere-mie-3d.v1physics-gateanalytical Mie solutioncomplex L2 <= 1e-2; surface L2 <= 2e-2; scattered power <= 6e-2
bem.sphere-field-pattern-mie.v1physics-gatesonium-wave::analytical::sphere_scattering_3d independent rigid-sphere Mie field patternl2_relative_error <= 1.5e-1; max_pointwise_relative_error <= 2.5e-1
bem.sphere-reciprocity-passivity.v1physics-gateindependent rigid-sphere Mie scattering seriesreciprocity <= 2e-2; scattered-power <= 8e-2; field L2 <= 1.5e-1; pointwise <= 2.5e-1
bem.sphere-hmatrix-backend-parity.v1physics-gatedense TBEM and independent rigid-sphere Mie scattering seriesH-matrix backscatter <= 2e-5; reciprocity <= 2e-2; Mie scattered-power <= 8e-2
bem.sphere-backend-formulation-matrix.v1physics-gateindependent rigid-sphere Mie scattering seriesall eight rows satisfy the production test gates
bem.fluid-interface-transmission.v1physics-gateindependent planar Fresnel pressure and normal-power coefficientscoefficient/power error <= 2e-13; two typed rejection checks
bem.transmission-operator-contracts.v1smokeindependent off-diagonal kernel fixture, typed mixed-frequency rejection, incident-trace RHS finiteness, and solved residualfinite matrix entries; matrix L1 norm > 0; mixed-frequency rejection dimension-matched finite incident RHS and solve residual <= 1e-10
bem.transmission-material-derivatives.v1physics-gateindependent centered speed and density rebuilds plus dk/dc chain rulespeed finite-difference <= 4e-5; speed chain <= 2e-12; density finite-difference <= 2e-8; continuous-quadratic speed finite-difference <= 4e-5; linear and continuous-quadratic derivative entries finit
bem.compressed-transmission-material-derivative.v1physics-gatedense and kernel-native compressed forward actions against the dense material-derivative matrixboth relative compressed-action errors <= 2e-7
bem.impedance-speed-derivative.v1physics-gateindependent centered speed perturbation including Y=1/(rho*c)both relative errors <= 2e-5; all metrics finite
bem.galerkin-transmission-material-derivatives.v1physics-gateindependent centered Galerkin matrix rebuildsall derivative entries finite; centered-reassembly error <= 1e-10; invalid medium and constant basis rejected
bem.galerkin-compressed-transmission-material-derivative.v1physics-gatecompressed forward action against the fine-order dense Galerkin derivativerelative compressed-action error <= 2e-7
bem.galerkin-quad4-pair-material-derivative.v1physics-gatefinite nonzero centered pair derivative matrix8x8 finite derivative; maximum entry norm positive
bem.galerkin-quad4-material-derivative.v1physics-gatefine-order dense global-DOF material derivative actionanalytic-centered relative error <= 5e-3; compressed action relative error <= 2e-6
bem.galerkin-quad4-self-wavenumber-derivative.v1physics-gatecentered production self-panel Duffy derivativemaximum relative derivative error <= 5e-4
bem.galerkin-quad4-global-wavenumber-derivative.v1physics-gatecentered production global Quad4 Müller matrix and dense derivative actionmatrix relative error <= 2e-3; compressed action error <= 1e-6
bem.typed-raw-transmission-parity.v1physics-gateindependent off-diagonal Green-kernel and k = 2πf/c fixturetyped/raw relative matrix error <= 1e-14; independent wavenumber checks
bem.operator-consistency.v1physics-gatedense TBEM action, exact small-system identities, over-integrated quadrature, MLFMM sphere parity, and independent Mie far-field power/radius-invariance shared by dense/H-matrix/SLFMM/MLFMM solvesevery dense/H-matrix/SLFMM/MLFMM sphere solve: power <= 6e-2, far-field radius-invariance <= 1.5e-2, and true residual <= 2e-8; separated-cluster H-matrix action <= 2e-4, SLFMM action <= 2e-3, and at
bem.mlfmm-slow-validation.v1physics-gateindependently assembled stabilized dense TBEM actionsMLFMM dense action <= 1e-2; M2L pair action <= 1e-4; SLFMM 16-term far-field action <= 1e-5
bem.frequency-sweep-backends.v1physics-gateindependent matrix-free stabilized TBEM actionexact residual <= 2e-5; operator action error <= 1e-3
bem.forward-frequency-batch-compressed.v1physics-gateindependent dense direct forward frequency-batch solvefour compressed backends including directional-MLFMM; residual <= 1e-6; coefficient error <= 5e-5
bem.formulation-equivalence-reference.v1physics-gateindependent rigid-sphere Mie field and regular/Burton-Miller equivalenceMie relative field error <= 1.5e-1; formulation relative error <= 8e-2
bem.linear-basis-execution.v1physics-gateindependent surface-panel topology and finite-field execution contractexact linear DOF count; all coefficients and point evaluation finite
bem.higher-order-hmatrix.v1physics-gatefinite coefficients and exterior point evaluation on deterministic higher-order compressed fixtureall coefficients and field values finite
bem.higher-order-formulation-reference.v1physics-gateindependent spherical Mie fields, checked field evaluation, linear/quadratic panel paths, formulation equivalence, and axial invariancelinear fine Mie/formulation thresholds plus bounded quadratic Mie reference
bem.2d-fluid-cylinder-convergence.v1physics-gateindependent cylindrical Fourier transmission field and scattered-power-per-length referencefield and power errors refine monotonically; fine field errors <= 0.12; residual <= 1e-3
bem.2d-fluid-cylinder-batch.v1physics-gateindependent single-RHS production solves using the same assembled operatormaximum coefficient error <= 1e-11; residual <= 1e-10
bem.2d-rigid-cylinder-batch.v1physics-gateindependent single-RHS production solves using the same assembled Neumann operatormaximum coefficient error <= 1e-11; residual <= 1e-10
bem.gmres-ir-failure-matrix.v1smokeindependent checked failure/status matrix7 invalid-input cases and 1 inner-failure case reject without panic
bem.fmm-hierarchical-preconditioner.v1physics-gateindependent full-SLFMM operator residual certificationtrue residual <= 1e-6
bem.mlfmm-nearfield-ilu.v1smokeindependent dense near-field matrix actionforward/adjoint residual <= 1e-11 and inner-product error <= 1e-12
bem.slfmm-nearfield-ilu.v1physics-gateindependent full-SLFMM operator residual certificationtrue residual <= 1e-6
bem.slfmm-adjoint-preconditioners.v1contract-gateindependent full matrix-free SLFMM Hermitian-adjoint actionboth residuals <= 1e-11; solution delta <= 1e-11; one non-finite RHS rejection
bem.mlfmm-adjoint-preconditioners.v1contract-gatematrix-free MLFMM Hermitian-adjoint actionboth residuals <= 1e-11; solution delta <= 1e-11; one non-finite RHS rejection
bem.high-level-hilu-dispatch.v1contract-gateindependent exact full-operator forward and Hermitian-adjoint residualsboth residuals <= 1e-4; one non-FMM rejection
bem.continuous-quadratic-topology.v1physics-gateindependent global vertex/edge DOF deduplication finite production solveshared vertex/edge DOFs are deduplicated and the production solve is finite
bem.continuous-quadratic-quad4.v1physics-gateindependent closed-cube Q2 vertex/edge/interior DOF count and finite production solveglobal DOFs = 26; local Q2 slots = 54; shared slots = 28; all pressure coefficients finite
bem.continuous-quadratic-mie-convergence.v1physics-gateindependent spherical-Mie exterior fields plus rotational-invariance identityfine L2 <= 1e-2; fine pointwise <= 2e-2; both refinement ratios <= 0.85; rotational error <= 1e-2
bem.continuous-quadratic-quad4-mie-convergence.v1physics-gateindependent spherical-Mie exterior fields plus rotational-invariance identityfine L2 <= 1e-2; fine pointwise <= 2e-2; both refinement ratios <= 0.85; rotational error <= 1e-2
bem.transmission-continuous-quadratic-quad4-mie-convergence.v1physics-gateindependent FluidSphereTransmission3d exterior pressure fields; direct coefficient cross-check and separately recomputed dense equation residualfine field error <=0.01; both adjacent refinement ratios <=0.65; all solve residuals and direct coefficient errors <=1e-8; three numerical solves; fine DOFs/panels increase
bem.axisymmetric-ring-mie-convergence.v1physics-gateindependent spherical-Mie exterior total pressurefine L2 <= 1e-7; fine pointwise/far-field <= 2e-7; all refinement ratios <= 1e-2; residuals <= 1e-10
bem.axisymmetric-penetrable-sphere-mie-convergence.v1physics-gateindependent FluidSphereTransmission3d Mie exterior/interior pressure referencefine exterior/interior errors <= 1e-4; fine far-field error <= 1e-5; exterior/interior refinement ratios <= 0.1; far-field refinement ratio <= 0.01; Mie truncation change <= 1e-10; forward/adjoint/bat
bem.axisymmetric-profile-forward-batch.v1physics-gateindependent scalar AxisymmetricPenetrableProfile::solve solutionscoefficient error <= 1e-10; residual <= 1e-9; empty batch accepted; non-finite amplitude rejected
bem.axisymmetric-profile-transmission.v1physics-gatesphere operator parity plus independent residual, continuity, field-finiteness, and single/batch adjoint contractssphere parity <= 1e-12; forward/single/batch adjoint/continuity <= 1e-9; compressed action <= 2e-2 with at least one low-rank block; finite field count >= 2; typed rejections >= 2
bem.tbem-quadrature-policy-reference.v1physics-gateindependent permissive-pass and unrealistically strict-rejection contractpermissive reference policy passes; strict zero mixed budget rejects; checked DOFs > 0
bem.penetrable-sphere-mie-convergence.v1physics-gateindependent two-medium spherical-Mie pressure/velocity traces and exterior fieldstrace residual <= 3e-2 and refinement ratio <= 0.5; field L2 <= 5e-3; pointwise <= 1e-2; solve <= 1e-9; axisymmetry <= 1e-2; power imbalance <= 2e-2
bem.quad4-higher-order-regular-singular-reference.v1reference-onlyindependent tensor-Gauss, Duffy, partition-of-unity, and matrix-finiteness checksregular < 2e-7; singular < 3e-4; partition < 2e-11; 9x9 matrix finite and nonzero
bem.higher-order-field-evaluation-reference.v1physics-gatequadratic pressure/velocity DOF interpolation and checked buffer-layout rejectionnonzero pressure/velocity responses; expected velocity length 9 rejected for actual length 1
bem.quadratic-vtu-export.v1physics-gateindependent VTU parser and required pressure point-field namesat least one surface element, six exported points, four exported cells, six pressure DOFs
bem.source-position-objective-gradient.v1physics-gateindependent centered finite-difference objective evaluationsmaximum relative error <= 2e-5
bem.higher-order-source-position-objective-gradient.v1physics-gateindependent centered finite-difference objective evaluationsmaximum relative error <= 2e-4
bem.compressed-source-position-objective-gradient.v1physics-gateindependent centered finite differences for x/y/z source positionmaximum relative and absolute error <= 5e-4
bem.geometry-translation-objective-gradient.v1physics-gateindependent centered finite-difference objective evaluations after translating nodes and panel centersmaximum relative error <= 2e-5
bem.compressed-geometry-translation-objective-gradient.v1physics-gateindependent centered finite differences for x/y/z translationsmaximum relative and absolute error <= 5e-4
bem.compressed-higher-order-geometry-translation-objective-gradient.v1physics-gateindependent centered finite differences for x/y/z translationsmaximum relative and absolute error <= 1e-8
bem.operator-cache-reuse.v1physics-gateindependent second dense solve with exact coefficient comparisonmaximum solution difference <= 1e-10; one rebuild and one reuse hit
bem.operator-cache-hmatrix-reuse.v1physics-gateindependent second H-matrix solve exact coefficient comparisonmaximum solution difference <= 1e-10; one rebuild and one reuse hit
bem.higher-order-hmatrix-quad4.v1physics-gatefinite coefficients and exterior point fields on one deterministic Quad4 fixtureall coefficients and field values finite
bem.continuous-higher-order-hmatrix-quad4.v1physics-gatefinite coefficients and exterior point field on one deterministic Quad4 fixtureall reported values finite; DOF count > 0
bem.continuous-linear-hmatrix-quad4.v1physics-gateeight shared vertex DOFs and dense-TBEM exterior field parity on one deterministic fixtureDOF count = 8; all reported values finite; max relative field error <= 1e-4
bem.slfmm-checked-admission.v1contract-gateone valid constant-panel DOF plus typed higher-order/topology/quadrature rejectionsvalid_constant_dofs >= 1; basis_rejections >= 1; topology_rejections >= 1
bem.fmm-block-row-actions.v1contract-gatesingle-RHS row projections and fail-closed dimension rejectionmaximum block action error <= 0; dimension rejection >= 1
bem.mlfmm-checked-admission.v1contract-gatevalid constant-panel Tri3/Quad4 DOFs, typed higher-order/cluster rejections, and checked actionsvalid_constant_dofs >= 1; valid_quad4_dofs >= 1; basis_rejections >= 1; topology_rejections >= 1; checked_actions >= 3
bem.dense-operator-checked-admission.v1contract-gateindependent DenseMatrix forward, algebraic-transpose, Hermitian, and block productsmaximum parity error <= 1e-12; checked_actions >= 6; dimension_rejections >= 3; nonfinite_rejections >= 3
bem.mlfmm-curved-quad4-normals.v1physics-gateanalytic Burton-Miller local expansion action using geometric collocation normalsmax_proxy_normal_error <= 1e-12; normal_variation > 1e-6
bem.operator-checked-admission.v1contract-gateconstant-panel DOF count, node bounds, duplicate and dense numberingat least 3 rejected layouts and 1 duplicate-layout rejection
bem.higher-order-objective-gradients.v1physics-gateindependent centered finite differences in frequency and sound speedrelative error <= 5e-3
bem.higher-order-mlfmm-quad4.v1physics-gateindependent dense quadratic TBEM forward/transpose/Hermitian actions plus directional parity and continuous shared-DOF solvedirectional action_error <= 1e-10; full dense-reference action error <= 1e-8; directional dense-reference action error <= 1e-3; full_dofs = directional_dofs = 9; continuous_dofs = 26; far_field_entrie
bem.compressed-higher-order-source-position-objective-gradient.v1physics-gateindependent centered finite-difference objective evaluationsmaximum relative and absolute error <= 5e-3
bem.operator-cache-soft-dirichlet.v1physics-gateindependent indirect soft-Dirichlet solve and rigid-boundary rebuildmaximum cache/batch/adjoint metrics <= 1e-10; at least two rebuilds and one reuse hit
bem.transmission-kernel-native-shared-higher-order-parity.v1physics-gatedense continuous-quadratic transmission matrix and analytic wavenumber derivativevalue and derivative action errors <= 2e-7
bem.transmission-kernel-native-exact-residual.v1physics-gatedense transmission matrix retained by kernel-native ownerforward and Hermitian-adjoint exact-source relative residuals <= 1e-9
bem.hmatrix-transpose-block.v1contract-gatescalar H-matrix algebraic-transpose actionmaximum block/scalar transpose error <= 1e-10
bem.hmatrix-operator-accuracy.v1contract-gateindependently assembled dense stabilized TBEM matrixeach maximum relative action error <= 1e-8; all metrics finite
bem.fmm-operator-accuracy.v1contract-gateindependently assembled dense stabilized TBEM matrixeach maximum relative action error <= 1e-6; four scalar/block non-finite row-action paths rejected per backend
bem.slfmm-transpose-block.v1contract-gatescalar SLFMM algebraic-transpose actionmaximum block/scalar transpose error <= 1e-12
bem.mlfmm-transpose-block.v1contract-gatescalar MLFMM algebraic-transpose actionmaximum block/scalar transpose error <= 1e-12
bem.higher-order-dual-basis-field.v1physics-gateindependent quadratic Tri3 constant-trace mass moments and typed degenerate-geometry rejectionTri3 recovery <= 1e-12; Quad4 outputs finite; one degenerate geometry rejection
bem.nested-trace-operator.v1contract-gateindependent dense forward, algebraic-transpose, Hermitian, block and selected-row actions; typed edge/row rejectionall action errors <= 1e-12; two invalid-edge and two invalid-row rejections
bem.nested-trace-solve.v1contract-gateindependent nested matrix-free action round-trip and true residual admissionall solve errors <= 1e-10; two invalid-input rejections
bem.fem-bem-trace-solve.v1contract-gateindependent coupled matrix action round-trip and true residual admissionall solve errors and matrix-free true residuals <= 1e-10; two invalid-input rejections
bem.thin-shell-surface.v1physics-gateanalytic mass-spring-damper impedance and centered frequency derivativesderivative errors <= 2e-6; sweep error <= 1e-6; absorption in [0,1]; three typed rejections
bem.incident-field-admission.v1contract-gateIncidentField::validate and BemProblem::validatefour finite cases accepted; four malformed cases rejected
bem.cuda-capability-and-assembly-matrix.v1accelerator-gateindependent CPU f64 TBEM assembly, CPU field evaluation, Mie radiation, reciprocity, and analytic derivativematrix/product/field parity <= 1e-3; sphere CUDA-vs-CPU <= 1e-10; Mie/radiation/power <= 3e-1; refined mesh must reduce reference error; derivative <= 5e-3; kernels and transfers nonzero
bem.cuda-hmatrix-fmm-device-residency.v1accelerator-gateindependent dense stabilized TBEM action, adjoint inner-product identity, reciprocity, and field referenceall action/residual/field errors <= 1e-8; steady-state H2D operations = 0; CUDA kernels and D2H evidence nonzero
bem.rigid-sphere-mie-accuracy-ka1.v1physics-gateanalytical rigid-sphere Mie pressure; no external solver execution or imported outputcomplex L2 error <=0.01; numerical_solve_executed=1; external_reference_executed=0
bem.rigid-sphere-mie-accuracy-ka2.v1physics-gateanalytical rigid-sphere Mie pressure; no external solver execution or imported outputcomplex L2 error <=0.015; numerical_solve_executed=1; external_reference_executed=0
bem.rigid-sphere-mie-accuracy-ka5.v1physics-gateanalytical rigid-sphere Mie pressure; no external solver execution or imported outputcomplex L2 error <=0.015; numerical_solve_executed=1; external_reference_executed=0