@Article{AAMM-9-1,
author = {Zhiguang, Xiong and Kang, Deng},
title = {A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {1},
pages = {186--204},
abstract = {<p style="text-align: justify;">In 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 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>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m63},
url = {https://global-sci.com/article/73246/a-quadratic-triangular-finite-volume-element-method-for-a-semilinear-elliptic-equation}
}