@Article{IJNAM-5-1,
author = {},
title = {Finite Volume Element Method for Second Order Hyperbolic Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2008},
volume = {5},
number = {1},
pages = {132--151},
abstract = {<p style="text-align: justify;">We discuss a priori error estimates for a semidiscrete
piecewise linear finite volume element (FVE) approximation to a second
order wave equation in a two-dimensional convex polygonal domain. Since
the domain is convex polygonal, a special attention has been paid to
the limited regularity of the exact solution. Optimal error estimates in $L^2$, $H^1$ norms and quasi-optimal estimates in $L^∞$ norm are
discussed without quadrature and also with numerical quadrature.
Numerical results confirm the theoretical order of convergence.</p>},
issn = {2617-8710},
doi = {https://doi.org/2008-IJNAM-803},
url = {https://global-sci.com/article/83696/finite-volume-element-method-for-second-order-hyperbolic-equations}
}