Stability analysis of high order methods for the wave equation
نویسندگان
چکیده
In this paper, we investigate the stability of a numerical method for solving wave equation. The uses explicit leap-frog in time and high order continuous discontinuous (DG) finite elements using standard Lagrange Hermite basis functions space. Matrix eigenvalue analysis is used to calculate time-step restrictions. We show that restriction independent nodal distribution, such as equidistributed nodes Gauss–Lobatto nodes. symmetric interior penalty DG schemes with usual terms tighter than elements. Finally, conclude best obtained up polynomial degrees p=13.
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2022
ISSN: ['0377-0427', '1879-1778', '0771-050X']
DOI: https://doi.org/10.1016/j.cam.2021.113900