TY - EJOU
AU - Su, Mengya
AU - Ren, Zhihao
AU - Zhang, Zhiyue
TI - An ADI Finite Volume Element Method for a Viscous Wave Equation with Variable Coefficients
T2 - Computer Modeling in Engineering \& Sciences
PY - 2020
VL - 123
IS - 2
SN - 1526-1506
AB - 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 *L*^{2} 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.
KW - Viscous wave equation
KW - alternating direction implicit finite volume element method
KW - error estimates
KW - *L*^{2} norm
DO - 10.32604/cmes.2020.08563