@Article{NMTMA-3-4,
author = {},
title = {Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2010},
volume = {3},
number = {4},
pages = {499--522},
abstract = {<p style="text-align: justify;">This paper presents alternating direction finite volume element
methods for three-dimensional parabolic partial differential
equations and gives four computational schemes, one is analogous to
Douglas finite difference scheme with second-order splitting error,
the other two schemes have third-order splitting error, and the last
one is an extended LOD scheme. The $L^2$ norm and $H^1$ semi-norm
error estimates are obtained for the first scheme and the second one,
respectively. Finally, two numerical examples are provided to
illustrate the efficiency and accuracy of the methods.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2010.m99027},
url = {https://global-sci.com/article/90739/alternating-direction-finite-volume-element-methods-for-three-dimensional-parabolic-equations}
}