Event
01_1
| 제출번호(No.) | 0096 |
|---|---|
| 분류(Section) | Invited Talk |
| 분과(Session) | Applied Mathematics (AM) |
| 영문제목 (Title(Eng.)) |
High-order methods and adaptive algorithms |
| 저자(Author(s)) |
Dong-wook Shin1 Yonsei University1 |
| 초록본문(Abstract) | In this talk, we consider the high-order methods such as finite element method (FEM), mixed FEM, discontinuous Galerkin (DG) method, and hybrid DG method. Typically, high-order methods allow to achieve high-order accuracy with high-order approximations. However, the order of accuracy depends on the regularity of the exact solution. Thus, high-order accuracy is not accomplished if the exact solution has low regularity. Adaptive algorithms are efficient to compute numerical solutions for non-smooth solutions or in the presence of boundary or internal layers. A key ingredient of adaptive algorithms is the error estimator obtained from a posteriori error estimates. An adaptive algorithm consists of successive loops of the form, SOLVE $\rightarrow$ ESIMATE $\rightarrow$ MARK $\rightarrow$ REFINE. In this procedure, high-order accuracy is achieved in terms of degrees of freedom. |
| 분류기호 (MSC number(s)) |
65N15, 65N30 |
| 키워드(Keyword(s)) | adaptive algorithm, a posteriori error estimate, finite element method, discontinuous Galerkin method, mixed finite element method, hybrid discontinuous Galerkin method |
| 강연 형태 (Language of Session (Talk)) |
Korean |