ITM Web Conf.
Volume 29, 20191st International Conference on Computational Methods and Applications in Engineering (ICCMAE 2018)
|Number of page(s)||7|
|Published online||15 October 2019|
A high order immersed finite element method for parabolic interface problems
Department of Mathematics and Statistics, Mississippi State University,
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: firstname.lastname@example.org
** The work of this author is partially supported by National Science Foundation Grant DMS-1720425. e-mail: email@example.com
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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