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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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List of Articles
카테고리 제목 소속 강연자
수학강연회 Mathemaics & Hedge Fund file 지큐자산운용 김택근
수학강연회 정년퇴임 기념강연: Volume Conjecture file 서울대학교 김혁
수학강연회 <학부생을 위한 ɛ 강연> 196884=196883+1 file 이화여대 김현규
수학강연회 행렬, 행렬함수 그리고 행렬방정식 (Matrix, Matrix Functions and Matrix Equations) file 부산대학교 수학과 김현민
수학강연회 Elliptic equations with singular drifts in critical spaces file 서강대학교 김현석
수학강연회 <정년퇴임 기념강연> The Elements of Euclid file 서울대/광주과학기술원 김홍종
수학강연회 학부생을 위한 강연: 브라질과 프랑스는 왜 축구를 잘 할까? - 경제와 수학과 축구와 법률 file 서울대학교 법과대학 김화진
수학강연회 Universality of log-correlated fields file KAIST 남경식
수학강연회 High dimensional nonlinear dynamics file 경북대학교 도영해
수학강연회 WGAN with an Infinitely wide generator has no spurious stationary points file 서울대학교 류경석
수학강연회 Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media file 육군사관학교 문미남
수학강연회 How to solve linear systems in practice file 이화여대 수학과 민조홍
수학강연회 Hybrid discontinuous Galerkin methods in computational science and engineering file 연세대 박은재
수학강연회 Infinite order rationally slice knots file 카이스트 수리과학과 박정환
수학강연회 Restriction theorems for real and complex curves file 포항공과대학교 박종국
수학강연회 Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
수학강연회 Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
수학강연회 Equations defining algebraic curves and their tangent and secant varieties file KAIST 박진형
수학강연회 Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
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