Partially Penalized Immersed Finite Element Methods for Parabolic Interface Problems

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.

References in corpus (1)

• Partially Penalized Immersed Finite Element Methods for Elliptic Interface Problems

Cited by in corpus (3)

• Superconvergence of Immersed Finite Element Methods for Interface Problems
• Discontinuous Galerkin Immersed Finite Element Methods for Parabolic Interface Problems
• The Frenet immersed finite element method for elliptic interface problems: An error analysis