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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.

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List of Articles
카테고리 제목 소속 강연자
수학강연회 Combinatorial Laplacians on Acyclic Complexes file 서울대학교 국웅
수학강연회 <학부생을 위한 ɛ 강연> Continuous-time Portfolio Selection file 아주대학교 금융공학과 구형건
수학강연회 Solver friendly finite element methods file Oklahoma State Univ. 구자언
수학강연회 학부생을 위한 강연회: What is the algebraic number theory? file KAIST 구자경
수학강연회 Topology of configuration spaces on graphs file KAIST 고기형
수학강연회 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement file 서울대학교 계승혁
수학강연회 <정년퇴임 기념강연> 작용소대수와 양자정보이론 file 서울대학교 계승혁
수학강연회 Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
수학강연회 <학부생을 위한 ε 강연> Variable-driven sociological research with data innovations file 연세대학교 강정한
수학강연회 Periodic orbits in symplectic geometry file 서울대 강정수
수학강연회 Gaussian free field and conformal field theory file 서울대학교 강남규
수학강연회 Random conformal geometry of Coulomb gas formalism file 서울대학교 강남규
수학강연회 Conformal field theory in mathematics file 고등과학원 강남규
수학강연회 Brownian motion with darning and conformal mappings file University of Washington Zhen-Qing Chen
수학강연회 Anomalous diffusions and fractional order differential equations file University of Washington Zhen-Qing Chen
수학강연회 On some nonlinear elliptic problems file Paul Sabatier University, Toulouse Yuri Egorov
수학강연회 The phase retrieval problem file Hong Kong University of Science and Technology Yang Wang
수학강연회 Nonlocal generators of jump type Markov processes file University of Bielefeld Walter Hoh
수학강연회 Space.Time.Noise file Meijo University Takeyuki Hida
수학강연회 <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world file UCLA Stanley Osher
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