@Article{IJNAM-9-999,
author = {C. Bi and Y. Lin},
title = {Discontinuous Galerkin Method for Monotone Nonlinear Elliptic Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2012},
volume = {9},
number = {4},
pages = {999--1024},
abstract = {<p style="text-align: justify;">In this paper, we consider the incomplete interior penalty method for a class of second
order monotone nonlinear elliptic problems. Using the theory of monotone operators, we show
that the corresponding discrete method has a unique solution. The a priori error estimate in an
energy norm is developed under the minimal regularity assumption on the exact solution, i.e., $u \in H^1(\Omega)$. Moreover, we propose a residual-based a posteriori error estimator and derive the
computable upper and lower bounds on the error in an energy norm.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/670.html}
}