| Issue |
ITM Web Conf.
Volume 29, 2019
1st International Conference on Computational Methods and Applications in Engineering (ICCMAE 2018)
|
|
|---|---|---|
| Article Number | 01002 | |
| Number of page(s) | 7 | |
| Section | Applied/Computational Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20192901002 | |
| Published online | 15 October 2019 | |
An efficient numerical method for one-dimensional hyperbolic interface problems*
1
Department of Mathematics and Statistics, Mississippi State University,
Mississippi State,
MS 39762
2
Department of Mathematics and Statistics, Mississippi State University,
Mississippi State,
MS 39762
** e-mail: cdj192@msstate.edu
*** e-mail: xuzhang@math.msstate.edu
In this paper, we develop an efficient numerical scheme for solving one-dimensional hyperbolic interface problems. The immersed finite element (IFE) method is used for spatial discretization, which allows the solution mesh to be independent of the interface. Consequently, a fixed uniform mesh can be used throughout the entire simulation. The method of lines is used for temporal discretization. Numerical experiments are provided to show the features of these new methods.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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