Fig. 5
From: Multilevel preconditioners for embedded enriched partition of unity approximations
Sketch of a pre-cracked bar in three dimensions depicting the partitioning of the domain \(\Omega \) into \(\Omega _{\mathrm {HOST, FT}}\) (drak gray), \(\Omega _\Phi =\Omega _{\mathrm {HOST}}\cap \Omega _{\mathrm {ENR}}\) (light gray), and \(\Omega _{\mathrm {ENR, FT}}\) (white). The boundary data for this model problem is given by \(\Gamma _D = \Gamma _L \cup \Gamma _R\), \(g=(0, 0, 0)^T\) on \(\Gamma _L\), \(g=(0.02, 0, 0)^T\) on \(\Gamma _R\) and \(h=(0, 0, 0)^T\) on \(\Gamma _N=\partial \Omega \setminus \Gamma _D\)