Partially Penalized Immersed Finite Element Methods for Parabolic Interface Problems
arXiv:1501.06646 · doi:10.1002/num.21973
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.