Abstract: Ship building includes line heating, welding, local roll forming and other processing methods for plates. Compared to the plate dimensions, the region under steady moving linear load in the processing method is narrow with highly nonlinear characteristics. How to coordinate the relationship between the process parameters and the response is one of the main contents of the process. Since the linear load moves on the plate, the characteristics of local nonlinear response keep changing continuously, demanding complicated calculations. Because the mesh for the global region under linear load should be fine, conventional numerical methods result in low efficiency. When considering that other regions away from the loading area in the processing remain weak, nonlinear or elastic, the mesh for the region under current loads can be fine, while the mesh for another region away from the load may be relatively coarser in numerical simulations, with fine mesh moving along with the moving loads, i.e. the rezoning numerical method, which can save much computational time. In this paper, the impact of fine mesh size and rezoning frequency on the numerical computation, and the relationship with numerical accuracy and computational efficiency were researched using this method. The numerical computation example of the local rolling forming process was carried out, resulting in the impact of fine mesh size and rezoning frequency on the computational efficiency and numerical accuracy of the rezoning numerical method. The efficient numerical computation means of plates under moving linear loads with local nonlinear response verify the effectiveness of the method.