https://www.math.snu.ac.kr/board/files/attach/images/701/ff97c54e6e21a4ae39315f9a12b27314.png
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.

Atachment
첨부 '1'
  1. The phase retrieval problem

    In many applications such as X-ray Crystallography, imaging, communication and others, one must construct a function/signal from only the magnitude of the measurements. These measurements can be, for example, the Fourier transform of the den...
    Category수학강연회 소속Hong Kong University of Science and Technology 강연자Yang Wang
    Read More
  2. Theory and applications of partial differential equations

    I will talk in general about theory and applications of partial differential equations. A recent progress in the regularity theory for nonlinear problems will be also discussed, including uniform estimates of solutions in various function sp...
    Category수학강연회 소속서울대 강연자변순식
    Read More
  3. Analysis and computations of stochastic optimal control problems for stochastic PDEs

    Many mathematical and computational analyses have been performed for deterministic partial differential equations (PDEs) that have perfectly known input data. However, in reality, many physical and engineering problems involve some level of ...
    Category수학강연회 소속아주대 강연자이형천
    Read More
  4. <학부생을 위한 ε 강연> 압축센싱과 행렬완성

    인터넷 혁명을 거치면서 인간이 생산 및 소비하는 정보의 양이 비약적으로 증가하고 있다. 다루는 정보와 신호의 차원이 커짐에 따라 정보를 획득, 압축, 저장 그리고 복원하는 일련의 과정에 대한 새로운 패러다임이 요구되어 왔으며, 특히 큰 차원의 신호에...
    Category수학강연회 소속서울대 강연자심병효
    Read More
  5. <학부생을 위한 ε 강연> 수학과 예술 - 초기 컴퓨터 그래픽

    .
    Category수학강연회 소속동양대학교 강연자진중권
    Read More
  6. Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields

    초록 첨부: Void.pdf
    Category수학강연회 소속Univ. Bremen 강연자Keivan Mallahi-Karai
    Read More
  7. Quasi-homomorphisms into non-commutative groups

    A function from a group G to integers Z is called a quasi-morphism if there is a constant C such that for all g and h in G, |f(gh)-f(g)-f(h)| < C. Surprisingly, this idea has been useful. I will overview the theory of quasi-morphisms includi...
    Category수학강연회 소속Kyoto Univ. 강연자Koji Fujiwara
    Read More
  8. Entropies on covers of compact manifolds

    We consider different growth rates associated with the geometry (distance, volume, heat kernel) on a cover of a compact Riemannian manifold. We present general inequalities. We discuss the rigidity results and questions in the case of negati...
    Category수학강연회 소속CNRS (France) 강연자François Ledrappier
    Read More
  9. Iwahori-Hecke algebras and beyond

    For the irreducible representations of the Hecke algebras, the minimal elements in each conjugacy class play an important role. In this talk, we try to review the minimal length elements and characterize in a more efficient way to find the m...
    Category수학강연회 소속University of Picardie Jules-Verne, Amiens 강연자김성순
    Read More
  10. On the resolution of the Gibbs phenomenon

    Since Fourier introduced the Fourier series to solve the heat equation, the Fourier or polynomial approximation has served as a useful tool in solving various problems arising in industrial applications. If the function to approximate with t...
    Category수학강연회 소속SUNY Buffalo 강연자정재훈
    Read More
  11. <학부생을 위한 ε 강연> What mathematics can do for the real and even fake world

    I will give a very personal overview of the evolution of mainstream applied mathematics from the early 60's onwards. This era started pre computer with mostly analytic techniques, followed by linear stability analysis for finite difference a...
    Category수학강연회 소속UCLA 강연자Stanley Osher
    Read More
  12. The process of mathematical modelling for complex and stochastic biological systems

    The revolution of molecular biology in the early 1980s has revealed complex network of non-linear and stochastic biochemical interactions underlying biological systems. To understand this complex system, mathematical models have been widely ...
    Category수학강연회 소속KAIST 강연자김재경
    Read More
  13. Random walks in spaces of negative curvature

    Given a group of isometries of a metric space, one can draw a random sequence of group elements, and look at its action on the space.  What are the asymptotic properties of such a random walk?  The answer depends on the geometry of the space...
    Category수학강연회 소속Yale Univ. 강연자Giulio Tiozzo
    Read More
  14. Solver friendly finite element methods

    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 discusse...
    Category수학강연회 소속Oklahoma State Univ. 강연자구자언
    Read More
  15. Brownian motion and energy minimizing measure in negative curvature

    ..
    Category수학강연회 소속서울대학교 강연자임선희
    Read More
  16. 학부생을위한ε강연: 수학자는 왜 선망되는 직업일까?

    현대 사회에서 수학의 역할과 수학자에 대한 수요는 갈수록 증가하고 있다. 미국의 어떤 조사에서는 수학자가 가장 선망 받는 직업으로 분류되고, 영국에서 수학이 경제에 미치는 영향을 분석한 Deloitte 보고서에 따르면 영국 직업의 10%가 수학 연구와 직접...
    Category수학강연회 소속KAIST 강연자김동수
    Read More
  17. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

    ..
    Category수학강연회 소속육군사관학교 강연자문미남
    Read More
  18. Weyl character formula and Kac-Wakimoto conjecture

    The character of the finite-dimensional irreducible modules over a finite-dimensional simple Lie algebra is given by the celebrated Weyl character formula. However, such a formula does not hold in general for finite-dimensional irreducible m...
    Category수학강연회 소속서울대 강연자권재훈
    Read More
  19. Nonlocal generators of jump type Markov processes

    Empirical observations have shown that for an adequate description of many random phenomena non-Gaussian processes are needed. The paths of these Markov processes necessarily have jumps. Their generators are nonlocal operators which admit a ...
    Category수학강연회 소속University of Bielefeld 강연자Walter Hoh
    Read More
  20. Regularity of solutions of Hamilton-Jacobi equation on a domain

    150902_HYKE.pdf
    Category특별강연 소속ENS-Lyon 강연자Albert Fathi
    Read More
Board Pagination Prev 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Next
/ 15