A modified superconvergent patch recovery method and its application to large deformation problems
For nonlinear problems, it is shown that the accuracy and stability of superconvergent patch recovery (SPR) method can be remarkably improved through the modifications introduced in this paper. These modifications are (1) use of integration points as sampling points, (2) weighted average procedure and (3) introduction of additional nodes. They are validated through numerical investigations of several large deformation problems. Based on the modified SPR procedure, a new scheme for submodeling finite element analysis is developed. Comparison of the numerical results obtained from this new scheme and traditional method shows encouraging improvements.
superconvergence a posteriori error estimation stress recovery submodeling analysis nonlinear analysis finite element method