@Article{NMTMA-3-499, 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 = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2010.m99027}, url = {http://global-sci.org/intro/article_detail/nmtma/6011.html} }