Finite volumes and nonlinear di usion equations

نویسندگان

  • R. Eymard
  • T. Gallou
  • D. Hilhorst
چکیده

In this paper we prove the convergence of a nite volume scheme to the solution of a Stefan problem, namely the nonlinear diiusion equation ut ?'(u) = v, together with a homogeneous Neumann boundary condition and an initial condition. This is done by means of a priori estimates in L 1 and use of Kolmogorov's theorem on relative compactness of subsets of L 2 .

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تاریخ انتشار 1998