The conference X-DMS continues and replaces the successful X-FEM conference cycle and aims at including a wider variety of methodologies coming from different areas of computational mechanics and numerical analysis. This new conference cycle intends to gather all scientists working on these techniques so to foster the exchange of ideas among different approaches and discuss about open issues and their possible solution. The conference topics include: Partition of Unity methods (Meshfree, XFEM/GFEM), Patch Methods, Fictitious Domain Methods, Strong Discontinuity Approaches (SDA), Local/Global Non-Intrusive Coupling, Finite Cell Methods, Multiscale Discretization, Special techniques for static and evolving interfaces, Crossover approaches, such as integration of PUFEM with isogeometric method.