컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0465 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | Numerical Analysis / Scientific Computations / Mathematics in Science and Technology (SS-14) |
| 영문제목 (Title(Eng.)) |
FEM using singular functions to solve the elliptic problems with domain singularities |
| 저자(Author(s)) |
Seokchan Kim1 Changwon National University1 |
| 초록본문(Abstract) | Several years ago, we proposed a new finite element method to compute singular solutions of Poisson equations on a polygonal domain with re-entrant angles. Singularities are eliminated and only the regular part of the solution that is in $H^2$ is computed. The stress intensity factor and the solution can be computed as a post processing step. In this talk, we consider the 2D elasticity system with a singular corner. We give a singular decomposition of the solution and an extraction formula, which give the stress intensity factor. From this we may pose a variational problem with regular part of the solution. Then we expect to get the accurate numerical solution of the original elasticity system. |
| 분류기호 (MSC number(s)) |
65N30, 74G70, 74S05 |
| 키워드(Keyword(s)) | singular corner, elasticity system, stress intensity factor |
| 강연 형태 (Language of Session (Talk)) |
English |