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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 [학술회의] Reduced-order optimal control problems for Navier-Stokes equations (제13회 응용수학포럼) - 2004.08 이형천 [학술회의] Analysis and approximation of linear feedback control problems for the Boussinesq equations (2003년도 KSCAM 학술발표회) - 2003.09 이형천, 최영미 [학술회의] Centroidal Voronoi tessellation-based reduced-order modeling of Navier-Stokes equations (2003년도 KSCAM 학술발표회) - 2003.09 이형천 [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 이형천 [학술회의] Computational methods for optimal control problems of fluid flows (2002 한국전산응용수학회 학술발표대회) - 2002.09 이형천 [학술회의] Computations of optimal control problems for the stationary Boussinesq equations (Conference on Copmutational Mathematics) - 2001.07 이형천 [학술회의] 점성, 비압축성 유체의 제어 (대한수학회 봄 연구발표화) - 1999.04 이형천 [학술회의] Analysis of optimal control problems for Boussinesq system (대한수학회 1998년 가을 연구발표회) - 1998.08 이형천, O.Y Imanuvilov [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 [학술회의] Analysis and Least Squares Finite Element Approximation of Optimal Control Problems (_) - 1997.10 이형천 [학술회의] Karhunen-Loeve Decomosition을 이용한 캐오스 계산 (정기학술대회) - 1996.04 이형천
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