1. A method for deforming computer-generated objects, the method comprising: receiving at one or more computer systems, information identifying a computer-generated object; receiving information identifying a space partitioning tree grid associated with the computer-generated object; receiving information identifying a set of material properties for the computer generated object; receiving kinematic information associated with the computer-generated object; calculating a diagonal component of a stiffness matrix as the combination of an auxiliary component and a Laplacian component; determining a response of a continuum representation of a material at one or more cells forming the space partitioning tree grid according to the set of material properties and the kinematic information associated with the computer-generated object based on the diagonal component of the stiffness matrix associated with a stabilized energy discretization over the one or more cells of the space partitioning tree grid utilizing a one point quadrature at each of the one or more cells; and generating information configured to deform the computer generated object from a first configuration to a second configuration based on the determined response of the continuum representation of the material.