Fast Finite Element (FFE) method had advantage of high precision and fast computing
velocity. The online application of FFE method was significance both in theory and practice. In this
paper the fast calculation of rigid plastic finite element method (RPFEM) in hot strip rolling was
developed in this paper. The results of rolling force were good agreement to the measured results. The
influence of element on calculating time and accuracy was discussed. The running time of
one-dimension search was reduced greatly by combining Newton method with Brent method.
Improved Newton method with trust region method and forced positive definite Hessian matrix
method were used to reduce the convergence time. The better initial value could be obtained by
improved mid-point integral Newton method. In addition, the influence of operating system,
hardware and software on the calculating time was also discussed. The project of temperature FFE
online calculation application in a plate mill was put forward.