Error estimates for finite volume element methods for convection–diffusion–reaction equations
نویسندگان
چکیده
In this paper, we study finite volume element (FVE) method for convection–diffusion–reaction equations in a two-dimensional convex polygonal domain. These types of equations arise in the modeling of a waste scenario of a radioactive contaminant transport and reaction in flowing groundwater. Both spatially discrete scheme and discrete-in-time scheme are analyzed in this paper. For the spatially discrete scheme, optimal order error estimates in L2 and H 1 norms are obtained for the homogeneous equation using energy method. Further, a quasi-optimal order error estimate in L∞ norm is shown to hold in an interior subdomain away from the corners. Based on backward Euler method, a time discretization scheme is discussed and related error estimates are derived. © 2005 IMACS. Published by Elsevier B.V. All rights reserved. MSC: 65M60; 65N30; 65N15
منابع مشابه
A Posteriori Error Estimates for Finite Volume Element Approximations of Convection-diffusion-reaction Equations
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