Discontinuous Galerkin Immersed Finite Element Methods for Parabolic Interface Problems
Numerical Analysis
2016-11-02 v1
Abstract
In this article, interior penalty discontinuous Galerkin methods using immersed finite element functions are employed to solve parabolic interface problems. Typical semi-discrete and fully discrete schemes are presented and analyzed. Optimal convergence for both semi-discrete and fully discrete schemes are proved. Some numerical experiments are provided to validate our theoretical results.
Cite
@article{arxiv.1509.09013,
title = {Discontinuous Galerkin Immersed Finite Element Methods for Parabolic Interface Problems},
author = {Qing Yang and Xu Zhang},
journal= {arXiv preprint arXiv:1509.09013},
year = {2016}
}