OOF2: The Manual

Name

L2 Error Norm (L2ErrorNorm) — Use the root mean square of the components of the error.

Synopsis

L2ErrorNorm()

Details

Description

L2ErrorNorm is one way of computing the error in an element when using the ZZ_Estimator to drive finite element mesh adaptation. The relative percent error is


\[
\mathrm{percent\ error} = \frac{\int_\Omega\,
(\sigma^* - \sigma_h)^T
(\sigma^* - \sigma_h)\, d\Omega}
{\int_\Omega\,\sigma^{*T} \sigma^*\,d\Omega} \times 100
\]
      (6.148)

where \(\sigma^*\) and \(\sigma_h\) are the recovered stress and the finite element stress, respectively. The integral is over the area of the mesh element.