We present a promising approach to reduce the difficulties associated with meshingcomplex curved domain boundaries for higher-order finite elements. In this work,higher-order XFEM analyses for strong discontinuity in the case of linear elasticityproblems are presented. Curved implicit boundaries are approximated inside an unstructuredcoarse mesh by using parametric information extracted from the parametric representation(the most common in Computer Aided Design CAD). This approximation provides local gradedsub-mesh (GSM) inside boundary elements (i.e. an element split by the curved boundary)which will be used for integration purpose. Sample geometries and numerical experimentsillustrate the accuracy and robustness of the proposed approach.
