@Article{CiCP-11-2,
author = {},
title = {High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation},
journal = {Communications in Computational Physics},
year = {2012},
volume = {11},
number = {2},
pages = {691--708},
abstract = {<p style="text-align: justify;">We present a new high order method in space and time for solving the wave
equation, based on a new interpretation of the &quot;Modified Equation&quot; technique. Indeed,
contrary to most of the works, we consider the time discretization before the space discretization. After the time discretization, an additional biharmonic operator appears,
which can not be discretized by classical finite elements. We propose a new Discontinuous Galerkin method for the discretization of this operator, and we provide numerical
experiments proving that the new method is more accurate than the classical Modified
Equation technique with a lower computational burden.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.311209.051110s},
url = {https://global-sci.com/article/80717/high-order-schemes-combining-the-modified-equation-approach-and-discontinuous-galerkin-approximations-for-the-wave-equation}
}