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제출번호(No.) 0581
분류(Section) Contributed Talk
분과(Session) Numerical Analysis / Scientific Computations / Mathematics in Science and Technology (SS-14)
영문제목
(Title(Eng.))
[CANCELLED] Simple iterative method for solving problems for plates with partial internal supports
저자(Author(s))
Dang Quang A1, Truong Ha Hai2
Institute of Information Technology, VAST, 18 Hoang Quoc Viet, Hanoi, Vietnam1, Thainguyen University of Information and Communication Technology, Thainguyen, Vietnam2
초록본문(Abstract) In this paper we consider problems for rectangular plates on one and on two partial internal supports with two opposite edges simply supported and two other edges clamped. The problems are modeled by biharmonic equation with strongly mixed boundary conditions in the sense that there is a change of types of boundary conditions on a side of the rectangle. These boundary value problems are led to sequences of problems for Poisson equation with strongly mixed boundary conditions. Finally, for solving these problems a version of the domain decomposition method is applied. The convergence of the obtained approximate solution is proved. Several numerical experiments show the fast convergence of the method. The efficiency of the proposed method is clear from the comparison of it with the dual-series equations method used by other authors in the case of plate with one internal support.
분류기호
(MSC number(s))
65N99
키워드(Keyword(s)) biharmonic equation, iterative method, domain decomposition method, rectangular plate, internal line support
강연 형태
(Language of Session (Talk))
English