컨텐츠 시작
학술대회/행사
초록검색
| 제출번호(No.) | 0316 |
|---|---|
| 분류(Section) | Special Session |
| 분과(Session) | Numerical Analysis (AM-1) |
| 영문제목 (Title(Eng.)) |
Optimal Control Problem for Maxwell’s Equations with Pointwise State Constraints |
| 저자(Author(s)) |
Imbo Sim1 National Institute for Mathematical Sciences1 |
| 초록본문(Abstract) | In this presentation, we treat the optimal control problem of Maxwell’s equations with the pointwise state constraints. To cope with the lack of regularity of the control to state mapping, we regularize the optimal control problem using the penalizing methods. This provides the high regularity of the optimality system, so it requires that fractional order regularity estimates for Maxwell’s equations. For the error analysis of the regularized optimality system, we apply the Brezzi-Rappaz-Raviart (BRR) theory and the fractional order regularity estimates reflecting the effect of the variational coefficients. Finally, the numerical experiments are shown by using the Nédélec’s curl-conforming edge elements for verifications of the theoretical results. |
| 분류기호 (MSC number(s)) |
65N22 |
| 키워드(Keyword(s)) | Optimal Control, Maxwell's Equations |
| 강연 형태 (Language of Session (Talk)) |
English |