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Table 3 Weak discontinuity enrichments comparison

From: On the construction of approximation space to model discontinuities and cracks with linear and quadratic extended finite elements

 

Sukumar [14]

Moës [27]

Belytschko [28]

F(x)

\(\left| {\sum \limits _{i\in I_H } {lsn_i \varPhi _i \left( \mathbf x \right) } } \right| \)

\(\sum \limits _{i\in I_H } {\left| {lsn_i } \right| \varPhi _i \left( \mathbf x \right) } -\left| {\sum \limits _{i\in I_H } {lsn_i \varPhi _i \left( \mathbf x \right) } } \right| \)

\(\left| {\sum \limits _{i\in I_H } {lsn_i \varPhi _i \left( \mathbf x \right) } } \right| -\left| {lsn_j } \right| \)