To achieve the real-time requirement of realistic deformable modeling,it is necessary to employ the acceleration techniques such as GPU computing for FEM and hybrid structures in a virtual surgery simulation system.In this paper,we present a model on linear or nonlinear deformation of soft tissue based on the volumetric finite element method.The most important advantage of our model is its ability to achieve an interactive frame rate for the deformable change in surgical simulation on standard PC machine.In addition to the efficient meshing and basic finite elements modeling,this is achieved through two novel methods.In the first place,the major calculation work in the Conjugate Gradient solver for deformation is migrated from the CPU to the contemporary GPU to promote the calculation.Experiments have been given to show the feasibility and efficiency of the model.Secondly,it is to apply the hybrid structures of deformable models,by fully calculating the volumetric deformation in the local operation part while only calculating the global deformation by medial representation method.