Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Xiaoming He，Missouri University of Science and Technology
Inviter:	毛士鹏副研究员
Title:	Immersed finite element methods for parabolic equations with moving interface
Time & Venue:	2018.12.25 10:00-11:00 Z311
Abstract:	Three Crank-Nicolson-type immersed finite element (IFE) methods are presented for solving parabolic equations whose diffusion coefficient is discontinuous across a time dependent interface. Instead of the body-fitting mesh needed by the traditional finite elements for solving interface problems, these IFE methods can use a structured mesh because IFEs can handle interface jump conditions without requiring the mesh to be aligned with the interface. Several disadvantages of the body-fitting mesh for time-dependent interface problems will be discussed. And then a fixed structured mesh for IFEs will be utilized to resolve these problems. Numerical examples are provided to demonstrate features of the three IFE methods.