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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.


Atachment
첨부 '1'
List of Articles
카테고리 제목 소속 강연자
수학강연회 Theory and applications of partial differential equations file 서울대 변순식
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Probability Theory (변성수) file KIAS 변성수
수학강연회 1 is big enough to understand 3 file 카이스트 백형렬
수학강연회 Essential dimension of simple algebras file KAIST 백상훈
수학강연회 <학부생을 위한 ɛ 강연> Introduction to the incompressible Navier-Stokes equations file UNIST 배한택
수학강연회 Mixed type PDEs and compressible flow file POSTECH 배명진
수학강연회 Seoul ICM 2014 유치과정 개요 및 준비전략 file 포항공과대학교 박형주
BK21 FOUR Rookies Pitch 2022-2 Rookies Pitch: Algebraic Geometry (박현준) file KIAS 박현준
BK21 FOUR Rookies Pitch 2021-1 Rookies Pitch: PDE, Dynamical Systems (박한솔) file 수리과학부 박한솔
BK21 FOUR Rookies Pitch 2021-1 Rookies Pitch: PDE, Regularity Theory (박진완) file 수학연구소 박진완
수학강연회 Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds file KIAS 박진성
수학강연회 Iwasawa main conjecture and p-adic L-functions file 포항공과대학교 박지훈
특별강연 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds file 서울대학교 박종일
수학강연회 Restriction theorems for real and complex curves file 포항공과대학교 박종국
수학강연회 Infinite order rationally slice knots file 카이스트 수리과학과 박정환
수학강연회 Hybrid discontinuous Galerkin methods in computational science and engineering file 연세대 박은재
수학강연회 How to solve linear systems in practice file 이화여대 수학과 민조홍
BK21 FOUR Rookies Pitch 2022-1 Rookies Pitch: Symplectic Topology (문지연) file 수학연구소 문지연
수학강연회 Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media file 육군사관학교 문미남
수학강연회 WGAN with an Infinitely wide generator has no spurious stationary points file 서울대학교 류경석
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