Numerical Solution of Degenerate Variational Inequality Arising in the Fluid Flow Through Porous Media

摘要

In this paper the authors propose a numerical method for a degenerate variational inequality arising in the axisymmetric porous flow well problems which they have previously studied. They use the finite element method to discretize the problem, and establish the convergence of the solution of the discrete problem to the solution of the degenerate variational inequality. The solution of the physical problem depends upon the unknown discharge q. A rapidly convergent numerical method for finding q is obtained.