| Issue |
ITM Web Conf.
Volume 29, 2019
1st International Conference on Computational Methods and Applications in Engineering (ICCMAE 2018)
|
|
|---|---|---|
| Article Number | 01007 | |
| Number of page(s) | 7 | |
| Section | Applied/Computational Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20192901007 | |
| Published online | 15 October 2019 | |
A high order immersed finite element method for parabolic 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
*
The work of this author is partially supported by National Science Foundation Graduate Research Fellowship under Grant No. 1645630 e-mail: dtj70@msstate.edu
**
The work of this author is partially supported by National Science Foundation Grant DMS-1720425. e-mail: xuzhang@math.msstate.edu
We present a high order immersed finite element (IFE) method for solving 1D parabolic interface problems. These methods allow the solution mesh to be independent of the interface. Time marching schemes including Backward-Eulerand Crank-Nicolson methods are implemented to fully discretize the system. Numerical examples are provided to test the performance of our numerical schemes.
© The Authors, published by EDP Sciences, 2019
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