TY - JOUR
T1 - A Triangular Finite Volume Element Method for a Semilinear Elliptic Equation
AU - Zhiguang Xiong & Yanping Chen
JO - Journal of Computational Mathematics
VL - 2
SP - 152
EP - 168
PY - 2014
DA - 2014/04
SN - 32
DO - http://doi.org/10.4208/jcm.1310-FE3
UR - https://global-sci.org/intro/article_detail/jcm/9875.html
KW - Semilinear elliptic equation, Triangulation, Finite volume element with interpolated coefficients.
AB - <p style="text-align: justify;">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.</p>