The session on “Numerical Methods and Modeling for Lightweight Structures” is targeting the important field of numerical modeling of lightweight structures such as tensile structures, grid-shells or tensegrity structures, as well as their analysis. Within the scope of this session lies the process of numerical description and modeling from a geometrical and structural point of view, including interactive and parametric design processes. Moreover, flexible membrane structures and their behavior under extreme loading conditions are a focus of this session.