Preform design in multi-stage forging processes is critical to ensure the production of defect-free parts. Moreover, owing to the geometry and material-flow complexities in forging processes, finding the optimal preform shapes could be difficult and time consuming. This paper proposes an efficient preform design methodology based on geometrical resemblance, which requires several finite element...

In this paper, a semidiscrete finite element method for solving bilinear parabolic optimal control problems is considered. Firstly, we present a finite element approximation of the model problem. Secondly, we bring in some important intermediate variables and their error estimates. Thirdly, we derive a priori error estimates of the approximation scheme. Finally, we obtain the superconvergence b...

Finite element derivative superconvergent points for harmonic functions under local rectangular mesh are investigated. All superconvergent points for the finite element space of any order that is contained in the tensorproduct space and contains the intermediate family can be predicted. In the case of the serendipity family, results are given for finite element spaces of order below 6. The resu...

Finite element modeling of human bones is quite useful in biomechanical simulations. In the present work a technique is developed to make FE model of bones from MRI/CT scan data. Developed technique is a modification over conventionally used techniques. In conventional technique solid modeling processes intermediate solid / surface generation is essential before getting finite element model fro...