Partially Penalized Immersed Finite Element Methods for Parabolic Interface Problems
Numerical Analysis
2016-11-02 v1
Abstract
We present partially penalized immersed finite element methods for solving parabolic interface problems on Cartesian meshes. Typical semi-discrete and fully discrete schemes are discussed. Error estimates in an energy norm are derived. Numerical examples are provided to support theoretical analysis.
Cite
@article{arxiv.1501.06646,
title = {Partially Penalized Immersed Finite Element Methods for Parabolic Interface Problems},
author = {Tao Lin and Qing Yang and Xu Zhang},
journal= {arXiv preprint arXiv:1501.06646},
year = {2016}
}