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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 Hybrid discontinuous Galerkin methods in computational science and engineering file 연세대 박은재
Math Colloquia Idempotents and topologies file University of Waterloo Nico Spronk
Math Colloquia Ill-posedness for incompressible Euler equations at critical regularit file 서울대학교 정인지
Math Colloquia Infinite order rationally slice knots file 카이스트 수리과학과 박정환
Math Colloquia Integer partitions, q-series, and Modular forms file 서울과학기술 대학 김병찬
Math Colloquia Introduction to Non-Positively Curved Groups file KAIST 김상현
Math Colloquia It all started with Moser file Univ. of Wisconsin/포항공대 Paul Rabinowitz
Math Colloquia Iwahori-Hecke algebras and beyond file University of Picardie Jules-Verne, Amiens 김성순
Math Colloquia Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
Math Colloquia L-function: complex vs. p-adic file 충북대학교 선해상
Math Colloquia Lie group actions on symplectic manifolds file 성균관대학교 수학교육과 조윤형
Math Colloquia Limit computations in algebraic geometry and their complexity file POSTECH 현동훈
Math Colloquia Mathemaics & Hedge Fund file 지큐자산운용 김택근
Math Colloquia Mathematical Models and Intervention Strategies for Emerging Infectious Diseases: MERS, Ebola and 2009 A/H1N1 Influenza file 건국대학교 교수, 현 산업응용수학회 회장 정은옥
Math Colloquia Mathematics, Biology and Mathematical Biology file 부산대학교 수학과 정일효
Math Colloquia Mechanization of proof: from 4-Color theorem to compiler verification file 서울대 컴퓨터공학부 허충길
Math Colloquia Mirror symmetry of pairings file 숭실대학교 이상욱
Math Colloquia Mixed type PDEs and compressible flow file POSTECH 배명진
Math Colloquia Mixing time of random processes file 서울대 서인석
Math Colloquia Noise-induced phenomena in stochastic heat equations file 포항공대 김건우
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