TY - JOUR
T1 - Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations
AU - Tongke Wang
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 499
EP - 522
PY - 2010
DA - 2010/03
SN - 3
DO - http://doi.org/10.4208/nmtma.2010.m99027
UR - https://global-sci.org/intro/article_detail/nmtma/6011.html
KW - Three-dimensional parabolic equation, alternating direction method, finite volume element method, error estimate.
AB - <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>