Table 3.

A report on the convergence in k and m for the family of architectures ${\overrightarrow{N}}_{\mathtt{DenseNet}}=(2,k,2,m)$. We benchmark the error against the highly accurate $P_3$ FEniCS solution.

Parameters	k	m	Relative ${\mathit{L}}^2$ Error 100,000 Epoch	Relative ${\mathit{H}}^1$ Error 100,000 Epoch	Relative ${\mathit{L}}^2$ Error 200,000 Epoch	Relative ${\mathit{H}}^1$ Error 200,000 Epoch	Relative Error of the First Three Eigenvalues Respectively
803	4	8	2.5852%	5.6216%	2.0527%	4.9876%	0.1638%, 1.4479%, 1.1472%
1203	4	10	2.7487%	5.3611%	1.2354%	3.6960%	0.0839%, 2.3489%, 0.6341%
1753	5	10	1.9314%	4.2386%	1.0679%	3.3851%	0.5957%, 1.9264%, 0.3822%
2403	6	10	1.1745%	3.0548%	0.7998%	2.6994%	0.4539%, 1.7883%, 1.5112%
4403	4	20	1.9037%	3.6929%	0.7233%	2.5757%	0.3242%, 1.8831%, 1.2586%
9603	4	30	1.8217%	3.7451%	0.6689%	2.3609%	0.3639%, 2.0083%, 0.9685%
16,803	4	40	0.6372%	1.9704%	0.3920%	1.5497%	0.3269%, 1.8606%, 0.6983%
26,003	4	50	3.6993%	7.3510%	0.4207%	1.6748%	0.3127%, 1.5756%, 0.3559%