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The extended finite element method (XFEM) has recently gained enormous attention in computational engineering. Compared to the standard finite element method, this method enables improved approximations of non-smooth solutions such as those including jumps, kinks, and singularities. This is achieved by providing a concept for enriching the approximation space such that a priori known solution properties are included. Typical applications of the XFEM are found in fracture mechanics, biomechanics, and two-fluid flows. Many current research activities extend the application fields of the XFEM and investigate new formulations and special issues of enriched approximations.

XFEM 2009 is one within the successful series of ECCOMAS thematic events. XFEM 2009 is a medium-size conference with a balanced participation covering both the theoretical aspects of the subject and engineering applications.