Finite Element Scheme Of The Dynamics Model For A Class Of Terrestrial Glaciers

Finite Element Method is a highly efficient and relatively common numerical method, which is widely used to solve all kinds of partial differential equations. In this paper,this glaciers dynamics model (closed thermodynamic Stokes equa-tions) and three-dimensional Stokes equations used Finite Element Method, get its finite element formats. By using two examples to illustrate the feasibility and effectiveness of this method.For this glacier dynamics model, this paper acted finite element discrete for the spatial variables, finite-difference discrete for the time variables and the coefficient finite element discrete for the nonlinear terms, finally get its finite el-ement format. In addition, this paper discussed the existence and uniqueness of this model in one-dimensional case. This finite element format was used in two examples, we used the Newton iterative method for the final nonlinear equations.For the three-dimensional Stokes equations, the paper conducted the tetra-hedron split and the cube split for its region, get two the discrete format, using this discrete format for these equations, and you can see its effectiveness and feasibility through numerical experiments.