This paper provides an overview of recent advances in the computational modeling of the gecko adhesion mechanism. Several efficient modeling approaches are introduced that address the adhesion mechanism at various length scales, ranging from the molecular interaction at the angstrom ngstrom scale to the toe description at the centimeter scale. In particular, detailed three-dimensional models for the gecko spatulae and setae are discussed. The emphasis here is placed on the computational efficiency of the presented contact formulations using coarse-graining and model order reduction. Different finite element methods, based on nonlinear structural mechanics, are considered to analyze the resulting models. Both continuum and beam formulations are discussed. In order to obtain an accurate description of peeling, a local finite element surface enrichment technique is presented. This paper also provides some ideas on future modeling approaches.