구성원소개

  • 교수진
  • 명예교수
  • 대학원생 명단

교수진

교수정보의 상세 화면
이형천
이름
이형천
학력
박사
전공
수학전공(과)
정보
연구실 :
팔달관616호

연구실번호 :
2637

이메일 :
hclee@ajou.ac.kr hclee@mac.com

연구관심분야 :
CFD, Numerical Analysis, UQ

홈페이지 :
http://ajou.ac.kr/~hclee
학력
졸업연도/학교/학위
1994.07 Virginia Polytechnic Institute and State University 박사
경력 Professional Position
• 2003. 03. - Present: Professor at Department of Mathematics, Ajou Univ.
• 1999. 03. - 2003. 02.: Associate Professor at Dept. of Mathematics, Ajou Univ.
• 1996. 03. - 1999. 02.: Assistant Professor at Dept. of Mathematics, Ajou Univ.
• 1995. 07. - 1996. 02.: Assistant Professor at Dept. of Mathematics, KNU
• 1994. 07. - 1995. 06.: Assistant Professor at Dept. of Mathematics, UC Irvine, U.S.A.

University Administration
• 2011. 03 - present :  Dean of College of Natural Sciences, Ajou University
• 2003. 09 - 2005. 07.: Vice President of Ajou University for Admissions
• 2001. 02 - 2003. 01.: Head of Department of Mathematics, Ajou University

Professional Affiliation
• Editor of the Korean Journal of Mathematics, 2013.01 - present
• Editor of East Asian Journal on Applied Mathematics, 2011.01 - present
• Editor of Advances in Applied Mathematics and Mechanics, 2009 - present
• Editor of the Journal of KMS, 2010.01 - 2012.12
• Chief Editor of the Journal of KSIAM, 2009.01 - 2010.12
• Editor of SIAM Journal of Numerical Analysis, 2003.01 - 2008.12
• Editor of Bulletin of the Korean Mathematical Society  2004.01 - 2007.12
• Reviewer of AMS Review, since 2000
• Vice President of KSIAM, 2004.01 - 2006.12, 2008.01 - 2009. 12
• Program manager of Korea Research Foundation, 2005-2007
• President of Applied Mathematics Forum, 1999 - 2000
연구분야 • Computational Fluid Dynamics
• Numerical Analaysis
• Uncertainty Quantifications
• Centroidal Voronoi tessellation with applications
• Reduced Order Modeling via CVT and POD
• Numerical Methods of Stochastic Partial Differential Equations
• Optimal Control of  PDEs and SPDEs
논문 및 연구활동
연구활동(주요논문)
  • [논문] ERROR ESTIMATES OF STOCHASTIC OPTIMAL NEUMANN BOUNDARY CONTROL PROBLEMS (SIAM JOURNAL ON NUMERICAL ANALYSIS) - 2011.11
    이형천, Jangwoon Lee, Max Gunzburger
  • [논문] A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem (COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING) - 2010.11
    이형천, 김광연
  • [논문] First-order system least-squares methods for an optimal control problem by the Stokes flow (SIAM Journal on Numerical Analysis) - 2009.04
    이형천, 유수록, 김상동
  • [논문] POD and CVT-based reduced-order modeling of Navier-Stokes flows (Computer methods in applied mechanics and engineering) - 2006.10
    이형천, Max Gunzburger, John Burkardt
  • [논문] Centroidal Voronoi tessellation-based reduced-order modeling of complex systems (SIAM Journal on Scientific Computing) - 2006.04
    이형천, John Burkardt, Max Gunzburger
국제학술논문지
  • [논문] A cell boundary element method for s flux control problem (JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY) - 2013.01
    이형천, 전영목
  • [논문] ERROR ESTIMATES OF STOCHASTIC OPTIMAL NEUMANN BOUNDARY CONTROL PROBLEMS (SIAM JOURNAL ON NUMERICAL ANALYSIS) - 2011.11
    이형천, Jangwoon Lee, Max Gunzburger
  • [논문] Convergence of the Newton's method for an optimal control problems for Navier-Stokes equations (BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY) - 2011.11
    이형천, 김상동, 최영미
  • [논문] A posteriori error estimators for stabilized P1 nonconforming approximation of the Stokes problem (COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING) - 2010.11
    이형천, 김광연
  • [논문] A posteriori error estimators for nonconforming finite element methods of the linear elasticity problem (JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS) - 2010.11
    이형천, 김광연
  • [논문] Boundary Feedback Control of the Burgers Equations by a Reduced-Order Approach Using Centroidal Voronoi Tessellations (JOURNAL OF SCIENTIFIC COMPUTING) - 2010.06
    이형천, 박광일
  • [논문] First-Order System Least-Squares Methods for a Flux Control Problem by the Stokes Flow (COMMUNICATIONS IN COMPUTATIONAL PHYSICS) - 2010.04
    이형천, 김상동, 류수록
  • [논문] A MULTIGRID METHOD FOR AN OPTIMAL CONTROL PROBLEM OF A DIFFUSION-CONVECTION EQUATION (JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY) - 2010.02
    이형천, 백헌기, 김상동
  • [논문] Analysis and computations of least squares method for optimal control problems for the Stokes equations (JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY) - 2009.09
    이형천, 김상동, 최영미
  • [논문] First-order system least-squares methods for an optimal control problem by the Stokes flow (SIAM Journal on Numerical Analysis) - 2009.04
    이형천, 유수록, 김상동
  • [논문] Optimal control problems for the two dimensional Rayleigh_Benard type convection by a gradient method (Japan Journal of Industrial and applied mathematics) - 2009.02
    이형천
  • [논문] NUmerical simulations of the steady Navier-Stokes using adaptive meshing schemes (International Jounal for Numerical Methods in Fluids) - 2008.02
    이형천, Li Tian, Lili Ju
  • [논문] Analysis and finite element approximation of an optimal control problem for the Oseen viscoelastic fluid flow (Journal of Mathematical Analysis and Applications) - 2007.11
    이형천, Hyesuk Lee
  • [논문] A least-squares/penalty method for distributed optimal control problems for Stokes equations (An International Journal Computers And Mathematics with Applications) - 2007.05
    이형천, 최영미, 신병천
  • [논문] Redeuced-order modeling of Burgers equations based on centroidal Voronoi tessellation (International Journal of Numerical Analysis and Modeling) - 2007.02
    이형천, 이성환, 박광일
  • [논문] POD and CVT-based reduced-order modeling of Navier-Stokes flows (Computer methods in applied mechanics and engineering) - 2006.10
    이형천, Max Gunzburger, John Burkardt
  • [논문] Centroidal Voronoi tessellation-based reduced-order modeling of complex systems (SIAM Journal on Scientific Computing) - 2006.04
    이형천, John Burkardt, Max Gunzburger
  • [논문] Analysis and approximation of linear feedback control problems for the Boussinesq equations (Computers and mathematics with applications) - 2006.04
    이형천, 최영미
  • [논문] Reduced-order modeling of Navier-Stokes equations via centroidal Voronoi tessellation (Contemporary Mathematics) - 2006.01
    이형천, Max Gunzburger
  • [논문] Fully discrete approximation of a velocity and temperature tracking problem for the Boussinesq equations with piecewise distributed controls (Math. Meth. Appl. Sci.) - 2005.07
    이형천, 신병천
  • [논문] FInite element approximations and computations of optimal control problems for the stationary Boussinesq equations with distributed and Neumann boundary controls (Far East Journal of Applied mathematics) - 2005.07
    이형천, 김영관, 김수현
  • [논문] Analysis of optimal control problems for the two-dimensional thermistor system (SIAM J. Control Optim.) - 2005.07
    이형천, TIMOFEY SHILKIN
  • [논문] Finite element approximation and computations of optimal dirichlet boundary control problems for the Boussinesq equations (Journal of Korean Math. Soc.) - 2004.07
    이형천, 김수현
  • [논문] Least-squares spectral collocation method for the Stokes equations (Nemerical Methods for Partial Differential Equations) - 2004.01
    이형천, 이상동, 신병천
  • [논문] Pseudospectral least-squares method for the second-order elliptic boundary value problem (SIAM Journal of Numerical Analysis) - 2003.10
    이형천, 신병천, 김상도
  • [논문] Analysis and computational methods of Dirichlet boundary optimal control problems for 2D Boussinesq equations (Advances in Computational Mathematics) - 2002.12
    이형천
  • [논문] Dynamics for controlled 2-D Boussinesq syatems with distributed controld (Journal of Mathematical Analysis and Applicaations) - 2002.09
    이형천
  • [논문] Dynamics for Linear Feedback Controlled Two-Dimensional Benard Equations with Distributed Controls (Applied Mathematics and Optimization (Spronger-Verlag)) - 2001.09
    이형천, 신병춘
  • [논문] Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions (Journal of Mathematical Fluid Mechanics) - 2000.10
    이형천, Max D. Gunzburger, Gregory Seregin
  • [논문] Analysis of Neumann boundary optimal control problems for the stationary Boussinesq equations including solid media (SIAM Journal on Control and Optimization) - 2000.09
    이형천, Oleg Imanuvilov
  • [논문] Piecewise optimal distributed controls for 2D Boussinesq equations (Mathematical Methods in the Applied Sciences) - 2000.02
    이형천, 신병춘
  • [논문] Analysis of optimal control problems for the 2-D stationary Boussinesq equations (Journal of mathematical analysis and applications) - 2000.02
    이형천
  • [논문] A least-squares method for optimal control problems for a second-order elliptic system in two dimensions (Journal of Mathematical Analysis and Applications) - 2000.02
    이형천, 최영미
  • [논문] A penalty/least-squares method for optimal control problems for first-order elliptic systems (Applied Mathematics and Computation) - 2000.01
    이형천, Max D. Gunzburger
  • [논문] Analysis and approximation of optimal control problems for first-order elliptic systems in three dimensions (Applied Mathematics and Computation) - 1999.04
    이형천, Max D. Gunzburger
  • [논문] Feedback Control of Karman Vortex Shedding (Journal of Applied Mechanics) - 1996.09
    이형천, Max D. Gunzburger
국내학술논문지
  • [논문] ANALYSIS OF VELOCITY-FLUX FIRST-ORDER SYSTEM LEAST-SQUARES PRINCIPLES FOR THE OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES EQUATIONS (Journal of the Korean Society for Industrial and Applied Mathematics) - 2010.06
    최영미, 이형천
  • [논문] DISTRIBUTED FEEDBACK CONTROL OF THE BURGERS EQUATION BY A REDUCED-ORDER APPROACH USING WEIGHTED CENTROIDAL VORONOI TESSELLATION (Journal of the Korean Society for Industrial and Applied Mathematics) - 2009.12
    이형천, 박광일, 이준엽
  • [논문] Adaptive CVT-based reduced-order modeling of Burgers equation (Journal of the Korean Society for Industrial and Applied Mathematics) - 2009.06
    이형천, QIANG DU, GUAUG-RIPIAO
  • [논문] Analysis of first-order system Least-squares for the optimal control problems for the Navier-Stokes problems (Journal of the Korean Society for Industrial and Applied Mathematics) - 2007.12
    이형천, 신병천, 최영미, 김상동
  • [논문] Reduction of Modes for the Computations of Navier-Stokes Equations (Trends in Mathematics) - 2003.06
    이형천
  • [논문] Finite element approximation and computations of boundary optimal control problems for the Navier-Stokes flow through a channel with steps (Journal of the Korean Mathematical Society) - 1999.01
    이형천, 이용훈
  • [논문] Analysis of some nonlocal boundary value problems associated with feedback control (Bulletin of the Korean Mathematical Society) - 1998.05
    이형천
  • [논문] Iteration Method for Constrained Optimization Problems Governed by PDE (Communications of the Korean Mathematical Society) - 1998.01
    이형천
  • [논문] Analysis and Computations of Optimal and Feedback Control Problems for Navier-Stokes Equations (Journal of the Korean Mathematical Society) - 1997.11
    이형천
  • [논문] Analysis of some boundary value problems for Stokes flows (Kyungpook Mathematical Journal) - 1996.03
    이형천, Max D. Gunzburger
국제학술발표
  • [학술회의] A posteriori Error Estimates for Stabilized P1 Nonconforming Aprroximation of the Stokes Problem (International Workshop on Computational and Applied Mathematics) - 2013.05
    이형천
  • [학술회의] A stochastic sparse grid collocation method for stochastic optimal control problem (International Conference in Mathematics and Applications 2013) - 2013.01
    이형천
  • [학술회의] A sparse grid collocation method for Stochastic optimal control problems (2012 Academic Exchange Meeting of Mathematical workers betwween China and Korea) - 2012.12
    이형천
  • [학술회의] A stochastic sparse grid collocation method for stochastic optimal control problems (The second international conference on scientific computing) - 2012.05
    이형천
  • [학술회의] Analysis and Finite Element Approximations of Optimal COntrol Problems for Stochastic PDEs (SIAM Conference on Uncertainty Quantification) - 2012.04
    이형천
  • [학술회의] Stochastic Finite Element method for stochastic control problems (International Conference on Boundary and Interior Layers) - 2012.02
    이형천, 이장운
  • [학술회의] Numerical Approximations for Stochastic Optimal Control Problems (7th International Congress on Industrial and Applied Mathematics) - 2011.07
    이형천
  • [학술회의] Analysis and Computations of Optimal Control Problems for Stochastic Partial Differential Equations (Workshop on Foundations of Numerical PDEs, FoCM2011) - 2011.07
    이형천
  • [학술회의] Analysis and Computations of an Optimal Control Problems for Stochastic PDEs (Yonsei CSE International Workshop on CFD & Computational Mathematics) - 2010.09
    이형천, Max D Gunzburger, 이장운
  • [학술회의] Analysis and Finite Element Approximations of Optimal Neumann Boundary Control Problems for Stochastic PDEs (The 6th EAST ASIA SIAM) - 2010.06
    이형천
  • [학술회의] FInite element approximations of stochastic optimal Neumann boundary control problems (International Workshop on Scientific Computing and Nonlinear Partial Differential Equations) - 2010.06
    이형천
  • [학술회의] 확률편미분방정식의 최적제어 문제에 대한 수치해법 (Uncertainty Quantification) - 2010.05
    이형천
  • [학술회의] POD and CVT based reduced-order modeling for partial differential equations (제 1 회 중국수학회-대한수학회 공동학술회의 ) - 2010.05
    이형천
  • [학술회의] POD and CVT based reduced-order modeling for partial differential equations (Workshop on Challenges and Advances in Computational Material Simulation and Design) - 2009.07
    이형천
  • [학술회의] First-order system least-squares methods for a flux control problem by the Stokes flow (The 5th EASIAM Conference (부르나이)) - 2009.06
    이형천
  • [학술회의] Optimal Control Problems for the two dimensional Rayleih-B\'{e}nard convection by a gradient method (The second international conference on information and systems sciences) - 2008.12
    이형천
  • [학술회의] An adaptive CFCVDT meshing schemes for Navier-Stokes equations (The second China-Japan-Korea Conference on Numerical Mathematics) - 2008.08
    이형천
  • [학술회의] Differential Equations Using Reduced Order Modeling (UKC2008) - 2008.08
    이형천
  • [학술회의] Reduced-Order Modeling Of Optimal Control Problems For Navier-Stokes Equations (The 3rd East Asia SIAM Conference) - 2007.11
    이형천
  • [학술회의] Adaptive finite-element meshing scheme for the Steady Navier-Stokes Equations (6th International Congress on Industrial and Applied Mathematics) - 2007.07
    이형천, Lili Ju
  • [학술회의] Computations of optimal control problems for Navier-Stokes flows using POD and CVT-based ROM (International Conference on Recent Developments of Numerical Schemes for Flow Problems) - 2007.06
    이형천
  • [학술회의] Adaptive Numerical Simulations of the Steady Navier-Stokes Equations (NIMS Interantional Workshop on Fluid Dynamics) - 2007.06
    이형천
  • [학술회의] Reduced Order Modeling of Partial Differential Equations Via CVT (2007 SIAM Confernce on Computational Science and Engineering) - 2007.02
    이형천
  • [학술회의] Redeuced Order Modeling of PDE and MD (International conference on Recent Advances in Scientific Computationa) - 2006.06
    이형천
  • [학술회의] Feedback control of the Burgers equation by a CVT-based reduced-order modeling (MAASS 85th Annual meeting) - 2006.03
    이형천, 박광일
  • [학술회의] Computations of optimal control problems for the stationary BEnard problem (The 2nd International Conference on Scientific Computing and Partial Differential Equations) - 2005.12
    이형천
  • [학술회의] Linear feedback control problems for the Boussinesq equations (Workshop on Numerical Analysis of Flow Problems and Validated Computations) - 2005.11
    이형천, 최영미
  • [학술회의] Ideal point distributions, best mode selections and optimal spatial partitions via centroidal voronoi tesseallations (The 2nd International Symposium on Voronoi Diagrams in Science and Engineering) - 2005.10
    이형천, Qiang Du, Xiaoqiang Wang, Maria Emelianenko
  • [학술회의] Reduced-order modeling of Burgers equations based on centroidal Voronoi tessellation (The 2nd International Symposium on Voronoi Diagrams in Science and Engineering) - 2005.10
    이형천, 이성환
  • [학술회의] Reduced-order modeling of partial differential equations via POD and CVT (JSAIM 2005 Annual Meeting) - 2005.09
    이형천
  • [학술회의] Optimal control problems for thermistor system (The sixth SIAM Confernece on Control and Its Applications) - 2005.07
    이형천
  • [학술회의] Analysis of optimal control problem for the two dimensional thermistor system (제3회 한중 수치해석 워크샵) - 2005.02
    이형천
  • [학술회의] Centroidal Voronoi Tessellations based reduced-order modeling of complex flows including control of fluid flows (SIAM COnference on Computational Sciences and Engineering) - 2005.02
    이형천
  • [학술회의] PDE Model Reduction by Clustering (2004 SIAM Annual meeting) - 2004.07
    이형천, Max D. Gunzburger, John Burkardt
  • [학술회의] Some numerical computations of reduced order model of complex systems (Recent advances in adaptive computation) - 2004.05
    이형천
  • [학술회의] Analysis and computations of linear feedback control problems for the Boussinesq equations (Com^2MaC Conference on Computatational Mathematics) - 2003.12
    이형천
  • [학술회의] Reduced order modeling of complex systems (20th Biennial confernece on Numerical Anaysis 2003) - 2003.06
    이형천, Gunzburger, Max, Burkardt, John, Du, Qiang
  • [학술회의] Pseudo-Spectral Least-Squares for Elliptic and Stokes Problems (2003 SIAM Annual Meeting) - 2003.06
    이형천
  • [학술회의] Reduced-order modeling of Navier-Stokes system based on centroid Voronoi tessellaation (제2회 한중 수치해석 워크샵) - 2003.02
    이형천
  • [학술회의] Computations of a velocity and temperature tracking problem for the Boussinesq equations with piecewise distributed controls (Navier-Stokes Equations and Related Topics) - 2002.09
    이형천
  • [학술회의] Fully discrete approximation of a velocity and temperature tracking problem for the Boussinesq equations with piecewise distributed controls (Satellite conference on Scientific Computing of ICM2002-Beijing) - 2002.08
    이형천
  • [학술회의] Analysis and computations of Nuemann boundary optimal control problems for the stationary Boussinesq equations (40th IEEE Conference on Decision and Control) - 2001.12
    이형천
  • [학술회의] Study on viscous incompressible flows around a moving rigid body (International conference on partial differential equations) - 2001.12
    이형천
  • [학술회의] Analysis and computations of viscous incompressible flows around a moving rigid body (SIAM Annual Meeting) - 2001.07
    이형천
  • [학술회의] Analysis of viscous incompressible flows around a moving rigid body (965회 미국수학회 정기학술회의) - 2001.04
    이형천
  • [학술회의] Numerical methods for incompressible viscous flow around moving rigid bodies (The first Chinese-Korean Joint Workshop on Recent Advances in Numerical Analysis and Its Application) - 2001.02
    이형천
  • [학술회의] Dynamics for controlled Boussinesq equations (Pacific Rim Dynamical Systems Conference) - 2000.08
    이형천, 전영목
  • [학술회의] Optimal control of 2D Boussinesq equations (International workshop on differntial equations) - 1999.07
    이형천
  • [학술회의] Least squares methods for optimal control problems (The 19th Daewoo workshop) - 1999.07
    이형천, 최영미, 김수현
  • [학술회의] Optimal control of Boussinesq system (Recent Trends and Advances in PDEs and Numerical PDEs) - 1998.08
    이형천
  • [학술회의] Analysis and approximation of optimal control problems for div-curl systems in three dimensions (Inverse problems and related topics) - 1998.02
    이형천
  • [학술회의] Analysis and Computation of boundary optimal control of incompressible flows (The 4th Korea-Japan PDE Conference) - 1996.12
    이형천
국내학술발표
  • [학술회의] Applied Mathematics, Scientific Computing and Interdisciplinary Study (한국산업응용수학회 2012 학술대회) - 2012.11
    이형천
  • [학술회의] An optimal control problem of stochastic partial differential equations (한국산업응용수학회 학술대회) - 2011.11
    이형천
  • [학술회의] Optimal control problems for the two dimensional Rayleih-Benard convection (NIMS WOrkshop "Mathematical Analysis, Numerics and Applications in fluid and gas dynamics) - 2009.02
    이형천
  • [학술회의] POD, CVT를 이용한 나비어-스톡스 방정식의 제어문제의 모델 리덕션 (2007년도 대한수학회 가을연구발표회) - 2007.10
    이형천
  • [학술회의] 나비어-스톡스 유체의 Reduced-order 모델링 (2005 대한수학회 정기총회 및 가을연구발표회) - 2005.10
    이형천
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  • [학술회의] Centroidal Voronoi tessellation-based reduced-order modeling of Navier-Stokes equations (2003년도 KSCAM 학술발표회) - 2003.09
    이형천
  • [학술회의] Analysis and approximation of linear feedback control problems for the Boussinesq equations (2003년도 KSCAM 학술발표회) - 2003.09
    이형천, 최영미
  • [학술회의] Computational methods for stabilization of the Boussinesq equations via internal feedback controls (제11회 응용수학포럼) - 2003.08
    이형천, 최영미
  • [학술회의] Reduced-ordered modeling for computations for the time-dependent Navier-Stokes equations (2002년도 가을 연구발표회) - 2002.10
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    이형천
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    이형천
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  • [학술회의] Analysis of optimal control problems for Boussinesq system (대한수학회 1998년 가을 연구발표회) - 1998.08
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  • [학술회의] Optimal control problems in fluid mechanics ('98 수리과학정보센터 학술대회) - 1998.08
    이형천
  • [학술회의] New Iteration Method for Constrained Optimization Problems (대한수학회 논문 초록집) - 1997.10
    이형천
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    이형천
  • [학술회의] Karhunen-Loeve Decomosition을 이용한 캐오스 계산 (정기학술대회) - 1996.04
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