Extra Form
강연자 구자언
소속 Oklahoma State Univ.
date 2016-03-17

In this talk, numerical methods to solve second-order elliptic partial dierential equations will be presented. First, some of the existing methods, such as the standard Galerkin method, mixed nite element methods etc., will be briey discussed. Then, a new hybrid mixed nite element method will be introduced for ecient and accurate approximations of the ux variables. In many applications, the ux variables are the main quantities of interest. The method is a two{step method. On a coarse mesh, the primary variable is approximated. Then, the approximation is used as a data for the ux approximation on a ne mesh. It will be shown that the ne mesh size can be taken as the square of the coarse mesh size, or a higher power with a proper choice of parameter. This means that the computational cost for the coarse-grid solution is negligible compared to that for the ne-grid solution. This is a joint work with Dr. Young Ju Lee and Dr. Dongwoo Sheen.

첨부 '1'
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  2. Iwahori-Hecke algebras and beyond

  3. On the resolution of the Gibbs phenomenon

  4. <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world

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  10. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  11. Weyl character formula and Kac-Wakimoto conjecture

  12. Nonlocal generators of jump type Markov processes

  13. Regularity of solutions of Hamilton-Jacobi equation on a domain

  14. What is Weak KAM Theory?

  15. 정년퇴임 기념강연: 회고

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  17. The classification of fusion categories and operator algebras

  18. Green’s function for initial-boundary value problem

  19. Mechanization of proof: from 4-Color theorem to compiler verification

  20. On the distributions of partition ranks and cranks

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