The Finite Volume Method for an Elliptic–parabolic Equation
نویسنده
چکیده
We denote by (P ) the problem given by the equation (1), the boundary condition (2) and the initial condition (3). We assume that the function c satisfies the hypothesis (Hc) c is a continuous nondecreasing function such that c ′ ∈ Lloc(R); and that the initial condition u0 and the boundary data u D satisfy the hypotheses (H0) u0 ∈ L∞(Ω) and we define U0 := ‖u0‖L∞(Ω); (HD) u D is Lipschitz continuous on Ω with Lipschitz constant LD.
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تاریخ انتشار 1999