Immersed Finite Element Methods for Parabolic Equations with Moving Interface
讲座名称：
Immersed Finite Element Methods for Parabolic Equations with Moving Interface
讲座时间：
2018-12-18
讲座人：
何晓明
形式：
校区：
兴庆校区
实践学分：
讲座内容：
报告题目：Immersed Finite Element Methods for Parabolic Equations with Moving Interface
报告时间：12月18日，星期二，上午10:10—12:00
报告地点：数学楼112
报告摘要：
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.
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