@Article{JCM-20-5,
author = {Zhang, Tie and Yan-Ping, Li and Tait, Robert, J.},
title = {On the Finite Volume Element Version of Ritz-Volterra Projection and Applications to Related Equations},
journal = {Journal of Computational Mathematics},
year = {2002},
volume = {20},
number = {5},
pages = {491--504},
abstract = {<p style="text-align: justify;">In this paper, we present a general error analysis framework for the finite volume element (FVE) approximation to the Ritz-Volterra projection, the Sobolev equations and parabolic integro-differential equations. The main idea in our paper is to consider the FVE methods as perturbations of standard finite element methods which enables us to derive the optimal $L_2$ and $H^1$ norm error estimates, and the $L_\infty$ and $W^1_\infty$ norm error estimates by means of the time dependent Green functions. Our discussions also include elliptic and parabolic problems as the special cases.</p>},
issn = {1991-7139},
doi = {https://doi.org/2002-JCM-8934},
url = {https://global-sci.com/article/85424/on-the-finite-volume-element-version-of-ritz-volterra-projection-and-applications-to-related-equations}
}