Galerkin Format and Analysis of Mathematical Model of Groundwater Pollution

As an important resource for people to survive, water plays an important role in human life and industrial and agricultural production. However, with the development of industry, groundwater pollution and surface decline are becoming more and more serious. As one of the important pollution sources of water pollution, nitrogen-containing pollutants play a very important role in the strategic reserve of water resources. It can be seen that scientific management and evaluation of the quality of water resources are of great significance for the rational development and utilization of water resources. Based on the mathematical model of groundwater pollution, four full discrete Galerkin finite element schemes are constructed. In this paper, the convergence and stability of these four schemes are discussed in due course. In order to estimate the maximum error of the scheme, it can not only solve the seepage problem with finite elements, but also understand the transportation law of matter in porous media to a certain extent.