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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 Integer partitions, q-series, and Modular forms file 서울과학기술 대학 김병찬
수학강연회 Infinite order rationally slice knots file 카이스트 수리과학과 박정환
수학강연회 Ill-posedness for incompressible Euler equations at critical regularit file 서울대학교 정인지
수학강연회 Idempotents and topologies file University of Waterloo Nico Spronk
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
수학강연회 High dimensional nonlinear dynamics file 경북대학교 도영해
수학강연회 Heavy-tailed large deviations and deep learning's generalization mystery file Northwestern University 이창한
특별강연 Harmonic bundles and Toda lattices with opposite sign file RIMS, Kyoto Univ. Takuro Mochizuki
수학강연회 Hamiltonian dynamics, Floer theory and symplectic topology file University of Wisconsin 오용근
수학강연회 Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology file IBS, 포항공과대학교 오용근
수학강연회 Green’s function for initial-boundary value problem file National Univ. of Singapore Shih-Hsien Yu
수학강연회 Global result for multiple positive radial solutions of p-Laplacian system on exterior domain file 부산대학교 이용훈
수학강연회 Geometry, algebra and computation in moduli theory file 서울대 현동훈
수학강연회 Geometric structures and representation spaces file 서울대학교 이계선
수학강연회 Geometric Langlands theory: A bridge between number theory and physics file 서울대학교 유필상
수학강연회 Generalized multiscale HDG (hybridizable discontinuous Galerkin) methods for flows in highly heterogeneous porous media file 육군사관학교 문미남
수학강연회 Gaussian free field and conformal field theory file 서울대학교 강남규
수학강연회 Freudenthal medal, Klein medal 수상자의 수학교육이론 file 서울대 수학교육과 권오남
수학강연회 Free boundary problems arising from mathematical finance file 경희대학교 전준기
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