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Extra Form
Lecturer 박은재
Dept. 연세대
date Sep 29, 2016

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.


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  1. 04Oct
    by 김수현
    in Math Colloquia

    Hybrid discontinuous Galerkin methods in computational science and engineering

  2. How to solve linear systems in practice

  3. High dimensional nonlinear dynamics

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

  5. Hamiltonian dynamics, Floer theory and symplectic topology

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

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

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

  9. Geometry, algebra and computation in moduli theory

  10. Geometric structures and representation spaces

  11. Geometric Langlands theory: A bridge between number theory and physics

  12. Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media

  13. Gaussian free field and conformal field theory

  14. From mirror symmetry to enumerative geometry

  15. Freudenthal medal, Klein medal 수상자의 수학교육이론

  16. Free boundary problems arising from mathematical finance

  17. Fixed points of symplectic/Hamiltonian circle actions

  18. Fermat´s last theorem

  19. Fefferman's program and Green functions in conformal geometry

  20. Fano manifolds of Calabi-Yau Type

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