Diffusion-uniform Error Estimates for Nonlinear Singularly Perturbed Problems in Finite Element Methods
نویسندگان
چکیده
∂n ∣∣ ΓN×(0,T ) = gN , d) u(x, 0) = u(x), x ∈ Ω. Our aim is to derive apriori error estimates in the L∞(L2)-norm which are uniform with respect to ε → 0 and are valid even for the limiting case ε = 0. In the case of linear advection-diffusion this has been done e.g. in [2]. In the nonlinear case, for various explicit time discretizations of the DG scheme, such an error analysis was presented in a series of papers starting with [4]. The typical result for a k-th order explicit scheme is of the form:
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