We define the added mass matrix by
[math]\displaystyle{
A_{\mu\nu} = \mathrm{Re} \left\{\rho\iint_{\partial\Omega_{B}}
\phi_{\nu}^{\mathrm{R}} \mathbf{n}_{\mu}\, dS \right\}
and the damping matrix by
\lt center\gt \lt math\gt
B_{\mu\nu} = \mathrm{Im} \left\{ \omega \rho\iint_{\partial\Omega_{B}}
\phi_{\nu}^{\mathrm{R}} \mathbf{n}_{\mu}\, dS \right\}
}[/math]
and the forcing vector by
[math]\displaystyle{
f_{\mu} = \mathrm{i}\omega\rho\iint_{\partial\Omega_{B}}
\left(\phi^{\mathrm{I}} + \phi^{\mathrm{D}} \right) \mathbf{n}_{\mu}\, dS
}[/math]