Discontinuous Galerkin Immersed Finite Element Methods for Parabolic Interface Problems
arXiv:1509.09013 · doi:10.1016/j.cam.2015.11.020
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.