科研之友
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摘要
In this paper we extend the idea of interpolated coefficients for semilinear problems to the finite volume element method based on rectangular partition. At first we introduce bilinear finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. Next we derive convergence estimate in H(1)-norm and superconvergence of derivative. Finally an example is given to illustrate the effectiveness of the proposed method.
