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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.


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첨부 '1'
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  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

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  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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