컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0157 |
|---|---|
| 분류(Section) | Contributed Talk |
| 분과(Session) | (AM) Applied Mathematics(including AI, Data Science) (AM) |
| 발표시간(Time) | 19th-A-10:50 -- 11:10 |
| 영문제목 (Title(Eng.)) |
A nonconforming immersed virtual element method for elliptic interface problems |
| 저자(Author(s)) |
Hyeokjoo Park1, Do Y. Kwak2 Yonsei University1, KAIST2 |
| 초록본문(Abstract) | This paper presents the lowest-order nonconforming immersed virtual element method for solving elliptic interface problems on unfitted polygonal meshes. The local discrete space on each interface mesh element consists of the solutions of local interface problems with Neumann boundary conditions, and the elliptic projection is modified so that its range is the space of broken linear polynomials satisfying the interface conditions. We derive optimal error estimates in the broken H1-norm and L2-norm, under the piecewise H2-regularity assumption. In our scheme, the mesh assumptions for error analysis allow small cut elements. Several numerical experiments are provided to confirm the theoretical results. |
| 분류기호 (MSC number(s)) |
65N12, 65N15, 65N30 |
| 키워드(Keyword(s)) | Immersed virtual element method, nonconforming method, elliptic interface problem, unfitted mesh, polygonal mesh |
| 강연 형태 (Language of Session (Talk)) |
Korean |