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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 Regularity theory for nonlocal equations file 한양대학교 김민현
특별강연 Regularization by noise in nonlinear evolution equations file Dep. Math., Kyoto Univ. Yoshio Tsutsumi
수학강연회 Restriction theorems for real and complex curves file 포항공과대학교 박종국
수학강연회 Riemann-Hilbert correspondence for irregular holonomic D-modules file 서울대학교/RIMS Masaki Kashiwara
수학강연회 Role of Computational Mathematics and Image Processing in Magnetic Resonance Electrical Impedance Tomography (MREIT) file KAIST 이창옥
수학강연회 Root multiplicities of hyperbolic Kac-Moody algebras and Fourier coefficients of modular forms file Univ. of Connecticut 이규환
수학강연회 Satellite operators on knot concordance file 건국대학교 김태희
수학강연회 Seeded Ising Model for Human Iris Templates and Secure Distributed Iris Recognition file 서울대학교 최형인
수학강연회 Seifert fiberings file University of Oklahoma 이경배
수학강연회 Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
수학강연회 Sheaf quantization of Hamiltonian isotopies and non-displacability problems file Kyoto Univ./서울대학교 Masaki Kashiwara
수학강연회 Solver friendly finite element methods file Oklahoma State Univ. 구자언
수학강연회 Space.Time.Noise file Meijo University Takeyuki Hida
수학강연회 Spectral Analysis for the Anomalous Localized Resonance by Plasmonic Structures file 인하대학교 강현배
수학강연회 Structural stability of meandering-hyperbolic group actions file 제주대학교 김성운
수학강연회 Structures of Formal Proofs file 경북대학교 정주희
특별강연 Structures on Persistence Barcodes and Generalized Persistence file Stanford University Gunnar E. Carlsson
수학강연회 Study stochastic biochemical systems via their underlying network structures file 포항공과대학교 김진수
수학강연회 Subgroups of Mapping Class Groups file 서울대학교 김상현
수학강연회 Subword complexity, expansion of real numbers and irrationality exponents file 동국대 김동한
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