A new methodology for element partition and integration procedures for XFEM

An overview of the particularities of the extended finite element method implementation in contrast with the classical FEM is presented. The most relevant difficulty lies in the integration over elements containing jumps or singularities, since a classical quadrature rule cannot be applied. We present an algorithm which, avoiding a casuistic analysis, automatically partitions an enriched element and constructs a new quadrature formula for those elements that preserves the integration order from the original one.