Table 8 Convergence study for scattering by a sphere of unit radius and centered at origin, with \(\kappa _i/\kappa _e= 10^{-4}\) and \(\rho _i/\rho _e=10^{ 3}\)
From: Fast rapidly convergent penetrable scattering computations
\({\varvec{N}}^{\mathcal B}_{\varvec{u}}\) | \({\varvec{N}}^{\mathcal B}_{\varvec{v}}\) | \({\varvec{N}}^{\mathcal B}_{\varvec{t}}\) | \({\varvec{N}}^{\mathcal I}_{\varvec{u}}\) | \({\varvec{N}}^{\mathcal I}_{\varvec{v}}\) | \({\varvec{N}}^{\mathcal I}_{\varvec{t}}\) | \({\varvec{\varepsilon }}_{\varvec{\infty }}\) | Order |
|---|---|---|---|---|---|---|---|
\(8\) | \(8\) | \(8\) | \(8\) | \(8\) | \(8\) | \(2.1\cdot 10^{-0}\) | — |
\(16\) | \(16\) | \(16\) | \(16\) | \(16\) | \(16\) | \(1.4\times 10^{-1}\) | \(3.81\) |
\(32\) | \(32\) | \(32\) | \(32\) | \(32\) | \(32\) | \(1.8\times 10^{-3}\) | \(6.37\) |
\(64\) | \(64\) | \(64\) | \(64\) | \(64\) | \(64\) | \(4.16\times 10^{-5}\) | \(5.43\) |