plate-strike-nl-v1
Hard-struck free aluminum plate, geometrically nonlinear: radiated pressure. Challenge specification. results.json. Generated 2026-09-17T18:03:58+00:00.
Errors are relative to the reference solution plate-solutions/vonkarman-modal/vk-n24-w200-a200-m2, chosen by rule partial-order-agreement. Rows are sorted by the primary metric. Submissions are named as repository/submission.
| Submission | Solution | Method | waveform_l2 (primary) | spectrogram_l2 | Time (s) | Hardware | Claimed more accurate than | Output |
|---|---|---|---|---|---|---|---|---|
| vonkarman-modal plate-solutions · Jeremy Magland | vk-n24-w200-a200-m2 (reference) | von Karman plate (Airy form), modal method on Bogner-Fox-Schmit modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh integral with cubic fractional delays{"elements_per_side": 24, "transverse_modes": 200, "airy_modes": 200, "oversampling": 2, "dt_s": 1.0416666666666666e-05, "highest_transverse_mode_hz": 5980.6} | 0 | 0 | 646 | Intel Xeon workstation, single process, numpy/scipy | vk-n24-w150-a150-m2 | wav fields code viz |
| vonkarman-modal plate-solutions · Jeremy Magland | vk-n24-w150-a150-m2 | von Karman plate (Airy form), modal method on Bogner-Fox-Schmit modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh integral with cubic fractional delays{"elements_per_side": 24, "transverse_modes": 150, "airy_modes": 150, "oversampling": 2, "dt_s": 1.0416666666666666e-05, "highest_transverse_mode_hz": 4356.9} | 0.0001105 | 0.0001861 | 248 | Intel Xeon workstation, single process, numpy/scipy | vk-n16-w100-a100-m1 | wav code viz |
| vonkarman-modal plate-solutions · Jeremy Magland | vk-n16-w100-a100-m1 | von Karman plate (Airy form), modal method on Bogner-Fox-Schmit modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh integral with cubic fractional delays{"elements_per_side": 16, "transverse_modes": 100, "airy_modes": 100, "oversampling": 1, "dt_s": 2.0833333333333333e-05, "highest_transverse_mode_hz": 2875.7} | 0.01747 | 0.0431 | 27.5 | Intel Xeon workstation, single process, numpy/scipy | vk-n12-w50-a50-m1 | wav code viz |
| vonkarman-modal plate-solutions · Jeremy Magland | vk-n12-w50-a50-m1 | von Karman plate (Airy form), modal method on Bogner-Fox-Schmit modes, Gautschi-type integrator exact in the linear part, retarded Rayleigh integral with cubic fractional delays{"elements_per_side": 12, "transverse_modes": 50, "airy_modes": 50, "oversampling": 1, "dt_s": 2.0833333333333333e-05, "highest_transverse_mode_hz": 1261.4} | 0.04384 | 0.1194 | 6.13 | Intel Xeon workstation, single process, numpy/scipy | wav code viz |
Reference selection
Candidates are the maximal elements of each submission's asserted order. The score is the number of asserted pairs from other submissions whose order is preserved by the primary error to this candidate. Ties are broken first by the convergence gap (the primary error between the candidate and the nearest solution of its own submission asserted to be less accurate; smaller means a tighter convergence claim), then by the mean primary error to the other candidates.
| Candidate | Pairs preserved | Convergence gap | Mean error to other candidates | Violated pairs |
|---|---|---|---|---|
| plate-solutions/vonkarman-modal/vk-n24-w200-a200-m2 | 0/0 | 0.0001105 | 0 |
Order check against the chosen reference
All asserted accuracy orderings are preserved by both metrics under the chosen reference.
Pairwise errors (row vs column as reference)
waveform_l2
| plate-solutions/vonkarman-modal/vk-n24-w200-a200-m2 | plate-solutions/vonkarman-modal/vk-n24-w150-a150-m2 | plate-solutions/vonkarman-modal/vk-n16-w100-a100-m1 | plate-solutions/vonkarman-modal/vk-n12-w50-a50-m1 | |
|---|---|---|---|---|
| plate-solutions/vonkarman-modal/vk-n24-w200-a200-m2 | 0 | 0.00011 | 0.0175 | 0.0438 |
| plate-solutions/vonkarman-modal/vk-n24-w150-a150-m2 | 0.00011 | 0 | 0.0174 | 0.0438 |
| plate-solutions/vonkarman-modal/vk-n16-w100-a100-m1 | 0.0175 | 0.0174 | 0 | 0.0427 |
| plate-solutions/vonkarman-modal/vk-n12-w50-a50-m1 | 0.0438 | 0.0438 | 0.0427 | 0 |
spectrogram_l2
| plate-solutions/vonkarman-modal/vk-n24-w200-a200-m2 | plate-solutions/vonkarman-modal/vk-n24-w150-a150-m2 | plate-solutions/vonkarman-modal/vk-n16-w100-a100-m1 | plate-solutions/vonkarman-modal/vk-n12-w50-a50-m1 | |
|---|---|---|---|---|
| plate-solutions/vonkarman-modal/vk-n24-w200-a200-m2 | 0 | 0.000186 | 0.043 | 0.118 |
| plate-solutions/vonkarman-modal/vk-n24-w150-a150-m2 | 0.000186 | 0 | 0.043 | 0.118 |
| plate-solutions/vonkarman-modal/vk-n16-w100-a100-m1 | 0.0431 | 0.0432 | 0 | 0.0846 |
| plate-solutions/vonkarman-modal/vk-n12-w50-a50-m1 | 0.119 | 0.119 | 0.0855 | 0 |