plate-strike-v1

Struck free aluminum plate: radiated pressure. Challenge specification. results.json. Generated 2026-09-17T18:04:09+00:00.

Errors are relative to the reference solution plate-solutions/kirchhoff-bfs/bfs-n48, 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
kirchhoff-bfs plate-solutions · Jeremy Magland	bfs-n48 (reference)	Kirchhoff-Love plate, Bogner-Fox-Schmit C1 finite elements, closed-form modal time response, exact retarded Rayleigh integral `{"elements_per_side": 48, "element_size_m": 0.00635, "n_dof": 9604, "n_modes": 5041, "rigid_modes": 3, "mode_cutoff_hz": 200000.0}`	0	0	491	Intel Xeon workstation, single process, numpy/scipy (LAPACK eigh)	bfs-n32	wav fields code viz
kirchhoff-bfs plate-solutions · Jeremy Magland	bfs-n32	Kirchhoff-Love plate, Bogner-Fox-Schmit C1 finite elements, closed-form modal time response, exact retarded Rayleigh integral `{"elements_per_side": 32, "element_size_m": 0.009525, "n_dof": 4356, "n_modes": 4078, "rigid_modes": 3, "mode_cutoff_hz": 200000.0}`	0.04095	0.02022	155	Intel Xeon workstation, single process, numpy/scipy (LAPACK eigh)	bfs-n24	wav code viz
kirchhoff-bfs plate-solutions · Jeremy Magland	bfs-n24	Kirchhoff-Love plate, Bogner-Fox-Schmit C1 finite elements, closed-form modal time response, exact retarded Rayleigh integral `{"elements_per_side": 24, "element_size_m": 0.0127, "n_dof": 2500, "n_modes": 2496, "rigid_modes": 3, "mode_cutoff_hz": 200000.0}`	0.1097	0.05995	63.7	Intel Xeon workstation, single process, numpy/scipy (LAPACK eigh)	bfs-n16	wav code viz
kirchhoff-bfs plate-solutions · Jeremy Magland	bfs-n16	Kirchhoff-Love plate, Bogner-Fox-Schmit C1 finite elements, closed-form modal time response, exact retarded Rayleigh integral `{"elements_per_side": 16, "element_size_m": 0.01905, "n_dof": 1156, "n_modes": 1156, "rigid_modes": 3, "mode_cutoff_hz": 200000.0}`	0.2114	0.19	17.9	Intel Xeon workstation, single process, numpy/scipy (LAPACK eigh)	bfs-n12	wav code viz
kirchhoff-bfs plate-solutions · Jeremy Magland	bfs-n12	Kirchhoff-Love plate, Bogner-Fox-Schmit C1 finite elements, closed-form modal time response, exact retarded Rayleigh integral `{"elements_per_side": 12, "element_size_m": 0.0254, "n_dof": 676, "n_modes": 676, "rigid_modes": 3, "mode_cutoff_hz": 200000.0}`	0.2616	0.388	8.64	Intel Xeon workstation, single process, numpy/scipy (LAPACK eigh)	bfs-n8	wav code viz
kirchhoff-bfs plate-solutions · Jeremy Magland	bfs-n8	Kirchhoff-Love plate, Bogner-Fox-Schmit C1 finite elements, closed-form modal time response, exact retarded Rayleigh integral `{"elements_per_side": 8, "element_size_m": 0.0381, "n_dof": 324, "n_modes": 324, "rigid_modes": 3, "mode_cutoff_hz": 200000.0}`	0.2799	0.7106	3.32	Intel Xeon workstation, single process, numpy/scipy (LAPACK eigh)	bfs-n4	wav code viz
kirchhoff-bfs plate-solutions · Jeremy Magland	bfs-n4	Kirchhoff-Love plate, Bogner-Fox-Schmit C1 finite elements, closed-form modal time response, exact retarded Rayleigh integral `{"elements_per_side": 4, "element_size_m": 0.0762, "n_dof": 100, "n_modes": 100, "rigid_modes": 3, "mode_cutoff_hz": 200000.0}`	0.329	1.414	0.861	Intel Xeon workstation, single process, numpy/scipy (LAPACK eigh)		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/kirchhoff-bfs/bfs-n48	0/0	0.04095	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/kirchhoff-bfs/bfs-n48	plate-solutions/kirchhoff-bfs/bfs-n32	plate-solutions/kirchhoff-bfs/bfs-n24	plate-solutions/kirchhoff-bfs/bfs-n16	plate-solutions/kirchhoff-bfs/bfs-n12	plate-solutions/kirchhoff-bfs/bfs-n8	plate-solutions/kirchhoff-bfs/bfs-n4
plate-solutions/kirchhoff-bfs/bfs-n48	0	0.0409	0.11	0.211	0.262	0.28	0.325
plate-solutions/kirchhoff-bfs/bfs-n32	0.0409	0	0.0888	0.208	0.261	0.279	0.325
plate-solutions/kirchhoff-bfs/bfs-n24	0.11	0.0888	0	0.198	0.257	0.278	0.325
plate-solutions/kirchhoff-bfs/bfs-n16	0.211	0.208	0.198	0	0.243	0.278	0.324
plate-solutions/kirchhoff-bfs/bfs-n12	0.262	0.261	0.257	0.243	0	0.274	0.326
plate-solutions/kirchhoff-bfs/bfs-n8	0.28	0.279	0.278	0.278	0.274	0	0.329
plate-solutions/kirchhoff-bfs/bfs-n4	0.329	0.329	0.329	0.328	0.33	0.333	0

spectrogram_l2

	plate-solutions/kirchhoff-bfs/bfs-n48	plate-solutions/kirchhoff-bfs/bfs-n32	plate-solutions/kirchhoff-bfs/bfs-n24	plate-solutions/kirchhoff-bfs/bfs-n16	plate-solutions/kirchhoff-bfs/bfs-n12	plate-solutions/kirchhoff-bfs/bfs-n8	plate-solutions/kirchhoff-bfs/bfs-n4
plate-solutions/kirchhoff-bfs/bfs-n48	0	0.0202	0.06	0.19	0.388	0.688	1.08
plate-solutions/kirchhoff-bfs/bfs-n32	0.0202	0	0.046	0.181	0.382	0.686	1.08
plate-solutions/kirchhoff-bfs/bfs-n24	0.0599	0.046	0	0.158	0.367	0.681	1.08
plate-solutions/kirchhoff-bfs/bfs-n16	0.19	0.181	0.157	0	0.277	0.658	1.09
plate-solutions/kirchhoff-bfs/bfs-n12	0.388	0.382	0.367	0.277	0	0.609	1.09
plate-solutions/kirchhoff-bfs/bfs-n8	0.711	0.709	0.705	0.681	0.63	0	1.12
plate-solutions/kirchhoff-bfs/bfs-n4	1.41	1.41	1.42	1.42	1.42	1.41	0