1. A computer-assisted finite element analysis method for analyzing deformation to a deformable object comprising: performing, by a computer system, a first, partial deformation analysis, using a first mesh, on an undeformed boundary for the object to generate a deformed boundary for the object; generating, by the computer system, a second mesh, different from the first mesh, for the deformed boundary of the object generated by the first, partial deformation analysis, wherein the second mesh is bounded by the deformed boundary of the object and comprises grid nodes; mapping, by the computer system, the grid node locations from the second mesh for the deformed boundary of the object to the undeformed boundary for the object to generate a third mesh for the object that is bounded by the undeformed boundary of the object; and performing, by the computer system, a second deformation analysis on the undeformed boundary of the object using the third mesh to generate a second deformed boundary for the object.