Abstract
A two-grid decoupled finite element method is proposed and analyzed for the stationary closed-loop geothermal model, which is coupled by the Navier-Stokes/Darcy equations and the heat equations with some interface conditions. The main idea of the proposed method is to solve the nonlinear problem on a coarse grid to obtain an initial approximation, then solve the decoupled, linear problem on a fine grid. Hence, the original problem is solved by two subsystems using the two-grid technique, which will save computational time. Moreover, the stability of the proposed method is proved, and numerical examples are presented.
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