Table 2 Domain decomposition formulations of the reference problem (4)
From: A non-intrusive global/local approach applied to phase-field modeling of brittle fracture
Formulation | Imposed continuity between | Unknowns | |
|---|---|---|---|
\( \varvec{u}_{{\varvec{C}}}\,\varvec{ \& }\,\varvec{u}_{{\varvec{L}}}\) | \( \varvec{\lambda }_{{\varvec{C}}}\,\varvec{ \& }\,\varvec{\lambda }_{{\varvec{L}}}\) | ||
Primal, (18) | Strong | – | \((\varvec{u}_C,\varvec{u}_L,d_L)\) |
Dual, (23) | Weak | Strong | \((\varvec{u}_C,\varvec{u}_L,d_L,\varvec{\lambda })\) |
LLM, (26) | Weak | Weak | \((\varvec{u}_C,\varvec{u}_L,d_L,\varvec{u}_\Gamma ,\varvec{\lambda }_C,\varvec{\lambda }_L)\) |