Extra Form
강연자 박은재
소속 연세대
date 2016-09-29

Computation facilitates to understand phenomena and processes from science and engineering; we no longer need to depend only on theory and experiment. Computational Science and Engineering (CSE) is a rapidly developing multidisciplinary area using computational mathematics in the fields of science and engineering. CSE focuses on modeling-computer simulation-visualization, based on applied mathematics. We aim to provide problem-solving methodologies and robust tools for numerical simulation.

In this talk, we present our recent efforts for developing a robust numerical scheme for various problems including the Darcy and the Navier-Stokes equations. Hybrid discontinuous Galerin methods (HDG) was first designed and proposed by Y. Jeon and myself to study the Darcy equation. We further develop the method and provide arbitrary-order, locally conservative, stabilized formulation for Navier-Stokes problems. Several numerical results are presented to test the performance of the algorithm and to validate the theory developed. For stationary incompressible Navier-Stokes equations, numerical results for the lid-driven cavity problem are presented with Reynolds numbers up to 21000, and compared with existing results. This is a joint work with Y. Jeon and D. Shin.

첨부 '1'
  1. L-function: complex vs. p-adic

  2. Iwasawa main conjecture and p-adic L-functions

  3. Iwahori-Hecke algebras and beyond

  4. It all started with Moser

  5. Irreducible Plane Curve Singularities

  6. Introduction to Non-Positively Curved Groups

  7. Integer partitions, q-series, and Modular forms

  8. Infinite order rationally slice knots

  9. Ill-posedness for incompressible Euler equations at critical regularit

  10. Idempotents and topologies

  11. 04Oct
    by 김수현
    in 수학강연회

    Hybrid discontinuous Galerkin methods in computational science and engineering

  12. How to solve linear systems in practice

  13. High dimensional nonlinear dynamics

  14. Heavy-tailed large deviations and deep learning's generalization mystery

  15. Harmonic bundles and Toda lattices with opposite sign

  16. Hamiltonian dynamics, Floer theory and symplectic topology

  17. Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology

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

  19. Global result for multiple positive radial solutions of p-Laplacian system on exterior domain

  20. Geometry, algebra and computation in moduli theory

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