论文标题
Nitsche方法用于使用代码Aster中的XFEM在嵌入式接口上解决边界条件
Nitsche Method for resolving boundary conditions on embedded interfaces using XFEM in Code Aster
论文作者
论文摘要
由于X-FEM近似不需要裂纹的裂纹，因此从工业角度来看，该方法引起了很多关注。本文报告总结了使用XFEM在嵌入式接口中解决边界条件的一些概念。我们在这里考虑给出了跨接口的磁场跳跃的情况，以及给出接口上的主要字段的情况。我们将首先得出Nitsche方法的基础知识，然后使用X-FEM使用移位的基础富集将其离散。然后，我们将在开源平台Code-Apter上实现。
As X-FEM approximation does not need meshing of the crack, the method has garnered a lot of attention from industrial point of view. This thesis report summarises some of the concepts involved in Nitsche approach for resolving boundary conditions in embedded interfaces using XFEM. We consider here cases in which the jump of a field across the interface is given, as well as cases in which the primary field on the interface is given. We will first derive the basics of Nitsche method and then discretize it with X-FEM using shifted basis enrichment. We will then implement this on an open source platform, Code-Aster.
