Abstract

AbstractIn this paper we extend the idea of interpolated coefficients for a semilinear problem to the quadratic triangular finite volume element method. At first we introduce quadratic triangular finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. Next we derive convergence estimate inH1-norm,L2-norm andL∞-norm, respectively. Finally an example is given to illustrate the effectiveness of the proposed method.

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