Immersed interface finite element developed for the interface problems. The domain of an interface problem consisted of two different materials, which can be divided by an interface. A typical example of such problems is heat conduction in different materials (discontinuous heat conductivity), or fluid interface problems where the surface tension gives a singular force that is supported only on the interface. The complexity of the interfaces makes it more difficult to develop efficient numerical methods. The solutions often discontinuous or even singular. There are two different approachs in finite element methods to solve interface problems. One is a fitted grid approach, which use grids aligned with the interface, usual finite element method can be applicable for interface problems. However, This fitted grid approachs are not efficient. The other approach is the immersed finite element methods, which allow one to use uniform cartesian grid instead of grid allilgned with the interface.
타원형 방정식에 적용하는 경계함유면 유한요소법을 이용하여 탄성체 방정식에 적용할 수 있는 경계함유 유한요소를 생성하였다. 이 경계함유 유한요소와 Crouizex-Raviart원소에 적용할 수 있는 일반 탄성체방정식에서의 불연속 Galerkin 방법의 식을 사용하여 경계함유 유한요소법으로 복합체 위에서의 탄성방정식의 해법을 개발하였다. 탄성방정식에 이 방법을 적용하면 최적의 수렴성을 가짐을 이론적 및 실험적으로 확인하였다.
