컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0140 |
|---|---|
| 분류(Section) | Poster Session |
| 분과(Session) | (AM) Applied Mathematics(including AI, Data Science) (AM) |
| 발표시간(Time) | 19th-B-14:00 -- 14:30 |
| 영문제목 (Title(Eng.)) |
Computation for the first Steklov-Dirichlet eigenvalue on eccentric spherical shells in general dimensions |
| 저자(Author(s)) |
Jiho Hong1, Woojoo Lee2, Mikyoung Lim2 The Chinese University of Hong Kong1, KAIST2 |
| 초록본문(Abstract) | We develop the numerical computation scheme for the first Steklov-Dirichlet eigenvalue on eccentric spherical shells in general dimensions. In two dimensions, the computation scheme for eccentric annuli was developed based on the variational characterization of the first Steklov-Dirichlet eigenvalue and the series expansion of the first eigenfunction in bipolar coordinates. In this presentation, we generalize the previous results to higher dimensions by employing the bispherical coordinates and expressing the first eigenfunction as a Fourier-Gegenbauer series. We perform numerical experiments to validate our results and observe the geometric behavior of the first eigenvalue on the eccentric spherical shells of dimension $n$, $n\geq 2$. |
| 분류기호 (MSC number(s)) |
35P15, 49R05, 42C10 |
| 키워드(Keyword(s)) | Steklov-Dirichlet eigenvalue, spherical shells, eigenvalue computation, bispherical coordinates, finite section method |
| 강연 형태 (Language of Session (Talk)) |
Korean |