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Extra Form
Lecturer 구자언
Dept. Oklahoma State Univ.
date Mar 17, 2016

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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  2. A modified separation method to solve a heat-transfer boundary value problem

  3. Arithmetic of elliptic curves

  4. <학부생을 위한 ɛ 강연> Convergence of Fourier series and integrals in Lebesgue spaces

  5. Trends to equilibrium in collisional rarefied gas theory

  6. The Lagrange and Markov Spectra of Pythagorean triples

  7. A-infinity functor and topological field theory

  8. Weak and strong well-posedness of critical and supercritical SDEs with singular coefficients

  9. Algebraic surfaces with minimal topological invariants

  10. A wrapped Fukaya category of knot complement and hyperbolic knot

  11. Alice and Bob meet Banach and von Neumann

  12. Congruences between modular forms

  13. W-algebras and related topics

  14. On function field and smooth specialization of a hypersurface in the projective space

  15. <학부생을 위한 ɛ 강연> 기하와 대수의 거울대칭

  16. 1 is big enough to understand 3

  17. Mathemaics & Hedge Fund

  18. Unique ergodicity for foliations

  19. Conformal field theory in mathematics

  20. <학부생을 위한 ɛ 강연> A mathematical approach to xEV battery system

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