Almeida, Rui M.P.Antontsev, Stanislav N.Duque, José C. M.2020-02-062020-02-062017-07http://hdl.handle.net/10400.6/9089In this work, we study the convergence of the finite element method when applied to the following parabolic equation: Since the equation may be of degenerate type, we use an approximate problem, regularized by introducing a parameter ε. We prove, under certain conditions on γ, σ and f, that the weak solution of the approximate problem converges to the weak solution of the initial problem, when the parameter ε tends to zero. The convergence of the discrete solutions for the weak solution of the approximate problem is also proved. Finally, we present some numerical results of a MatLab implementation of the method.engPorous medium equationFinite element methodVariable exponentsjournal article10.1016/j.matcom.2016.12.008