Table 5 Convergence study for scattering by a bean shaped scatterer of acoustic size \(\kappa _e a = 3\), with \(\kappa /\kappa _e = 10 ^ { - 4}\) and \(\rho /\rho _e = 10 ^ {3}\) in the setting of Example 5
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 |
|---|---|---|---|---|---|---|---|---|
\(9\) | \(5\) | \(9\) | \(9\) | \(2\) | \(6.52\cdot 10^{-1}\) | — | \(9.60\cdot 10^{-1}\) | — |
\(17\) | \(9\) | \(17\) | \(17\) | \(4\) | \(3.77\cdot 10^{-1}\) | \(0.79\) | \(4.58\cdot 10^{-1}\) | \(1.07\) |
\(33\) | \(17\) | \(33\) | \(33\) | \(4\) | \(9.27\cdot 10^{-2}\) | \(2.02\) | \(1.05\cdot 10^{-1}\) | \(2.12\) |
\(65\) | \(33\) | \(65\) | \(65\) | \(6\) | \(6.11\cdot 10^{-3}\) | \(3.92\) | \(5.51\cdot 10^{-3}\) | \(4.26\) |
\(129\) | \(65\) | \(129\) | \(129\) | \(9\) | \(1.09\cdot 10^{-4}\) | \(5.81\) | \(9.72\cdot 10^{-5}\) | \(5.82\) |