@Article{cmes.2020.08563,
AUTHOR = {Mengya Su, Zhihao Ren, Zhiyue Zhang},
TITLE = {An ADI Finite Volume Element Method for a Viscous Wave Equation with Variable Coefficients},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {123},
YEAR = {2020},
NUMBER = {2},
PAGES = {739--776},
URL = {http://www.techscience.com/CMES/v123n2/38698},
ISSN = {1526-1506},
ABSTRACT = {Based on rectangular partition and bilinear interpolation, we construct an
alternating-direction implicit (ADI) finite volume element method, which combined the
merits of finite volume element method and alternating direction implicit method to solve
a viscous wave equation with variable coefficients. This paper presents a general procedure
to construct the alternating-direction implicit finite volume element method and gives
computational schemes. Optimal error estimate in <i>L</i><sup>2</sup> norm is obtained for the schemes.
Compared with the finite volume element method of the same convergence order, our
method is more effective in terms of running time with the increasing of the computing
scale. Numerical experiments are presented to show the efficiency of our method and
numerical results are provided to support our theoretical analysis.},
DOI = {10.32604/cmes.2020.08563}
}