Table 3 Convergence study for scattering by a disc centered at origin with radius 1
From: Fast rapidly convergent penetrable scattering computations
\({\varvec{N}}^{\mathcal B}_{\varvec{u}}\) | \({\varvec{N}}^{\mathcal B}_{\varvec{t}}\) | \({\varvec{N}}^{\mathcal I}_{\varvec{u}}\) | \({\varvec{N}}^{\mathcal I}_{\varvec{t}}\) | Iter | \({\varvec{\varepsilon }}_{\varvec{2}}\) | Order | \({\varvec{\varepsilon }}_{\varvec{\infty }}\) | Order |
|---|---|---|---|---|---|---|---|---|
\(17\) | \(9\) | \(17\) | \(17\) | \(2\) | \(2.10\times 10^{-1}\) | − | \(3.12\times 10^{-1}\) | − |
\(33\) | \(17\) | \(33\) | \(33\) | \(4\) | \(5.12\times 10^{-2}\) | \(2.03\) | \(6.44\times 10^{-2}\) | \(2.27\) |
\(65\) | \(33\) | \(65\) | \(65\) | \(5\) | \(7.55\times 10^{-3}\) | \(2.76\) | \(1.16\times 10^{-2}\) | \(2.47\) |
\(129\) | \(65\) | \(129\) | \(129\) | \(8\) | \(2.77\times 10^{-4}\) | \(4.77\) | \(2.65\times 10^{-4}\) | \(5.45\) |
\(257\) | \(129\) | \(257\) | \(257\) | \(10\) | \(4.99\times 10^{-6}\) | \(5.79\) | \(4.82\times 10^{-6}\) | \(5.78\) |