@Article{JCM-32-152, author = {}, title = {A Triangular Finite Volume Element Method for a Semilinear Elliptic Equation}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {2}, pages = {152--168}, abstract = {

In this paper we extend the idea of interpolated coefficients for a semilinear problem to the triangular finite volume element method. We first introduce triangular finite volume element method with interpolated coefficients for a boundary value problem of semilinear elliptic equation. We then derive convergence estimate in $H^1$-norm, $L^2$-norm and $L^∞$-norm, respectively. Finally an example is given to illustrate the effectiveness of the proposed method.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1310-FE3}, url = {http://global-sci.org/intro/article_detail/jcm/9875.html} }