@Article{IJNAM-13-22,
author = {C.-J. Bi and C. Wang},
title = {A Posteriori Error Estimates of Finite Volume Element Method for Second-Order Quasilinear Elliptic Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {1},
pages = {22--40},
abstract = {<p style="text-align: justify;">In this paper, we consider the a posteriori error estimates of the finite volume element
method for the general second-order quasilinear elliptic problems over a convex polygonal domain
in the plane, propose a residual-based error estimator and derive the global upper and local
lower bounds on the approximation error in the $H^1$-norm. Moreover, for some special quasilinear
elliptic problems, we propose a residual-based a posteriori error estimator and derive the global
upper bound on the error in the $L^2$-norm. Numerical experiments are also provided to verify our
theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/424.html}
}