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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.


Atachment
Attachment '1'
List of Articles
Category Subject Dept. Lecturer
Math Colloquia L-function: complex vs. p-adic file 충북대학교 선해상
Math Colloquia Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
Math Colloquia Iwahori-Hecke algebras and beyond file University of Picardie Jules-Verne, Amiens 김성순
Math Colloquia It all started with Moser file Univ. of Wisconsin/포항공대 Paul Rabinowitz
Special Colloquia Irreducible Plane Curve Singularities file 서울대학교 강정혁
Math Colloquia Introduction to Non-Positively Curved Groups file KAIST 김상현
Math Colloquia Integer partitions, q-series, and Modular forms file 서울과학기술 대학 김병찬
Math Colloquia Infinite order rationally slice knots file 카이스트 수리과학과 박정환
Math Colloquia Ill-posedness for incompressible Euler equations at critical regularit file 서울대학교 정인지
Math Colloquia Idempotents and topologies file University of Waterloo Nico Spronk
Math Colloquia Hybrid discontinuous Galerkin methods in computational science and engineering file 연세대 박은재
Math Colloquia How to solve linear systems in practice file 이화여대 수학과 민조홍
Math Colloquia High dimensional nonlinear dynamics file 경북대학교 도영해
Math Colloquia Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
Special Colloquia Harmonic bundles and Toda lattices with opposite sign file RIMS, Kyoto Univ. Takuro Mochizuki
Math Colloquia Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
Math Colloquia Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
Math Colloquia Green’s function for initial-boundary value problem file National Univ. of Singapore Shih-Hsien Yu
Math Colloquia Global result for multiple positive radial solutions of p-Laplacian system on exterior domain file 부산대학교 이용훈
Math Colloquia Geometry, algebra and computation in moduli theory file 서울대 현동훈
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