Edit Profile (opens in new tab) Zhao, Hongkai Compute Distance To: Compute Author ID: zhao.hongkai Published as: Zhao, Hongkai; Zhao, Hong-Kai; Zhao, Hong-kai; Zhao, HongKai more...less Documents Indexed: 103 Publications since 1994 3 Contributions as Editor Co-Authors: 92 Co-Authors with 86 Joint Publications 4,492 Co-Co-Authors all top 5 Co-Authors 4 single-authored 9 Osher, Stanley Joel 8 Leung, Shingyu 8 Li, Zhilin 8 Qian, Jianliang 7 Sølna, Knut 6 Luo, Songting 6 Zhang, Yongtao 5 Gao, Hao 5 Hou, Songming 5 Huang, Kai 5 Merriman, Barry 5 Zhong, Yimin 3 Engquist, Bjorn E. 3 Lai, Rongjie 3 Li, Ji 3 Lowengrub, John Samuel 3 Ren, Kui 3 Shahbaba, Babak 3 Turner, Ian William 3 Uhlmann, Gunther Alberto 3 Xu, Jianjun 3 Zepeda-Núñez, Leonardo 3 Zhang, Cheng 2 Cai, Jian-Feng 2 Chen, Shanqin 2 Chung, Tsz Shun Eric 2 Fang, Jun 2 Hou, Thomas Yizhao 2 Kang, Myungjoo 2 Li, Fengyan 2 Li, Peijun 2 Liang, Jian 2 Pattofatto, S. 2 Peng, Danping 2 Shu, Chi-Wang 2 Wong, Tsz Wai 1 Abdennadher, Slim 1 Ames, Aaron D. 1 Aslam, Tariq D. 1 Bao, Gang 1 Benamou, Jean-David 1 Bryson, Jennifer 1 Cai, Qin 1 Castillo, Edward 1 Cepak, Nastja 1 Chan, Raymond Hon-Fu 1 Chan, Tony Fan-Cheong 1 Cheng, Li-Tien 1 Esser, Ernie 1 Falcone, Maurizio 1 Ferretti, Roberto Giorgio 1 Fomel, Sergey 1 Gander, Martin Jakob 1 Gao, Huajian 1 Gao, Yu 1 Guibas, Leonidas John 1 He, Guowei 1 Hon, Sean Y. 1 Hunter, John K. 1 Jiang, Ming 1 Jiang, Xi 1 Lai, Mingchih 1 Li, Sijing 1 Liang, Gang 1 Liang, Jiang 1 Lin, Xiaobiao 1 Liu, Feng 1 Liu, Hantao 1 Liu, Hongyu 1 Liu, Jiulong 1 Lou, Yifei 1 Low, Daniel A. 1 Lu, DanFeng 1 Luo, Kai Hong 1 Luo, Ray 1 Lyu, Pengfei 1 Mitchell, Ian M. 1 Papanicolaou, George C. 1 Pasalic, Enes 1 Posner, Morton J. M. 1 Powell, Michael James David 1 Robinson, W. P. 1 Schaeffer, Hayden 1 Song, Peng 1 Stefanov, Plamen D. 1 Torres, Monica 1 Tsai, Yen-Hsi Richard 1 Tsogka, Chrysoula 1 Vegh, Viktor 1 Wang, Lihe 1 Wang, Liqun 1 Wang, Meng 1 Wei, Yongzhuang 1 Xiao, Li 1 Xin, Jack X. 1 Yang, Yi 1 Ying, Ningchen 1 Yu, Yifeng 1 Zhang, Fengrong 1 Zhang, Xiaoqun ...and 6 more Co-Authors all top 5 Serials 20 Journal of Computational Physics 8 SIAM Journal on Imaging Sciences 7 Inverse Problems 7 SIAM Journal on Scientific Computing 4 Journal of Scientific Computing 3 Methods and Applications of Analysis 3 Multiscale Modeling & Simulation 3 Inverse Problems and Imaging 2 Computers and Fluids 2 International Journal of Solids and Structures 2 Mathematics of Computation 2 SIAM Journal on Numerical Analysis 2 Journal of Computational Mathematics 2 Applied Numerical Mathematics 2 Applied Mathematical Modelling 2 SIAM Journal on Mathematical Analysis 2 Communications in Computational Physics 2 Research in the Mathematical Sciences 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 Fluid Dynamics Research 1 Biometrics 1 BIT 1 Operations Research 1 Optimal Control Applications & Methods 1 Journal of Mathematical Research & Exposition 1 Designs, Codes and Cryptography 1 Computational Statistics 1 SIAM Journal on Applied Mathematics 1 Computer Vision and Image Understanding 1 Journal of Modern Optics 1 Communications in Mathematical Sciences 1 International Journal of Computational Methods 1 Pure and Applied Mathematics Quarterly 1 IAS/Park City Mathematics Series 1 Statistics and Computing 1 Bayesian Analysis 1 AMM. Applied Mathematics and Mechanics. (English Edition) all top 5 Fields 59 Numerical analysis (65-XX) 34 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 17 Optics, electromagnetic theory (78-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 11 Information and communication theory, circuits (94-XX) 9 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 6 Statistics (62-XX) 6 Mechanics of particles and systems (70-XX) 6 Operations research, mathematical programming (90-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 89 Publications have been cited 2,042 times in 1,286 Documents Cited by ▼ Year ▼ A PDE-based fast local level set method. Zbl 0964.76069Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo 293 1999 A fast sweeping method for eikonal equations. Zbl 1070.65113Zhao, Hongkai 201 2005 A variational level set approach to multiphase motion. Zbl 0860.65050Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S. 193 1996 Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020Tsai, Yen-Hsi Richard; Cheng, Li-Tien; Osher, Stanley; Zhao, Hong-Kai 121 2003 A hybrid method for moving interface problems with application to the Hele-Shaw flow. Zbl 0888.76067Hou, Thomas Y.; Li, Zhilin; Osher, Stanley; Zhao, Hongkai 109 1997 A level-set method for interfacial flows with surfactant. Zbl 1161.76548Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai 80 2006 An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579Xu, Jian-Jun; Zhao, Hong-Kai 79 2003 High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang 65 2006 Implicit and nonparametric shape reconstruction from unorganized data using a variational level set method. Zbl 1011.68538Zhao, Hong-Kai; Osher, Stanley; Merriman, Barry; Kang, Myungjoo 52 2000 Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai 44 2007 A weak formulation for solving elliptic interface problems without body fitted grid. Zbl 1314.65147Hou, Songming; Song, Peng; Wang, Liqun; Zhao, Hongkai 40 2013 A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai 40 2007 A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089Leung, Shingyu; Lowengrub, John; Zhao, Hongkai 36 2011 A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid. Zbl 0956.78016Li, Zhilin; Zhao, Hongkai; Gao, Huajian 36 1999 A grid based particle method for moving interface problems. Zbl 1161.65013Leung, Shingyu; Zhao, Hongkai 34 2009 An efficient Neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed. Zbl 1279.94029Qian, Jianliang; Stefanov, Plamen; Uhlmann, Gunther; Zhao, Hongkai 33 2011 Fast sweeping method for the factored eikonal equation. Zbl 1175.65125Fomel, Sergey; Luo, Songting; Zhao, Hongkai 30 2009 A direct imaging algorithm for extended targets. Zbl 1112.78014Hou, Songming; Solna, Knut; Zhao, Hongkai 27 2006 A fast-forward solver of radiative transfer equation. Zbl 1187.78028Gao, Hao; Zhao, Hongkai 27 2009 Absorbing boundary conditions for domain decomposition. Zbl 0935.65135Engquist, Bjorn; Zhao, Hong-Kai 24 1998 A local mesh method for solving PDEs on point clouds. Zbl 1273.65034Lai, Rongjie; Liang, Jiang; Zhao, Hongkai 24 2013 Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions. Zbl 1022.65112Gander, Martin J.; Zhao, Hongkai 23 2002 A second order discontinuous Galerkin fast sweeping method for eikonal equations. Zbl 1151.65092Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai 22 2008 Production-inventory systems with unreliable machines. Zbl 0798.90074Berg, M.; Posner, M. J. M.; Zhao, H. 19 1994 Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022Engquist, Björn; Zhao, Hongkai 18 2018 Capturing the behavior of bubbles and drops using the variational level set approach. Zbl 0936.76065Zhao, Hong-Kai; Merriman, Barry; Osher, Stanley; Wang, Lihe 18 1998 Reactive autophobic spreading of drops. Zbl 1046.76036Hunter, John K.; Li, Zhilin; Zhao, Hongkai 18 2002 A hybrid reconstruction method for quantitative PAT. Zbl 1280.49054Ren, Kui; Gao, Hao; Zhao, Hongkai 17 2013 Imaging of location and geometry for extended targets using the response matrix. Zbl 1054.65065Hou, Songming; Solna, Knut; Zhao, Hongkai 16 2004 Solving partial differential equations on point clouds. Zbl 1275.65080Liang, Jian; Zhao, Hongkai 16 2013 A new approximation for effective Hamiltonians for homogenization of a class of Hamilton-Jacobi equations. Zbl 1241.35012Luo, Songting; Yu, Yifeng; Zhao, Hongkai 15 2011 Turbulent drag reduction by traveling wave of flexible wall. Zbl 1060.76563Zhao, H.; Wu, J.-Z.; Luo, J.-S. 15 2004 Quantitative photoacoustic tomography. Zbl 1345.92087Gao, Hao; Osher, Stanley; Zhao, Hongkai 14 2012 Analysis of the response matrix for an extended target. Zbl 1126.74417Zhao, Hongkai 13 2004 Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations. Zbl 1255.65215Zhang, Yong-Tao; Chen, Shanqin; Li, Fengyan; Zhao, Hongkai; Shu, Chi-Wang 13 2011 Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations. Zbl 1134.65076Zhang, Yong-Tao; Zhao, Hong-Kai; Chen, Shanqin 12 2006 Gaussian beam summation for diffraction in inhomogeneous media based on the grid based particle method. Zbl 1364.78016Leung, Shingyu; Zhao, Hongkai 11 2010 A static PDE approach for multidimensional extrapolation using fast sweeping methods. Zbl 1315.65093Aslam, Tariq; Luo, Songting; Zhao, Hongkai 11 2014 The geometry of Wulff crystal shapes and its relations with Riemann problems. Zbl 0942.35113Peng, Danping; Osher, Stanley; Merriman, Barry; Zhao, Hong-Kai 11 1999 Instability of an inverse problem for the stationary radiative transport near the diffusion limit. Zbl 1431.65162Zhao, Hongkai; Zhong, Yimin 10 2019 An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai 10 2010 A compact upwind second order scheme for the eikonal equation. Zbl 1240.65233Benamou, J.-D.; Luo, Songting; Zhao, Hongkai 10 2010 Generalized Foldy-Lax formulation. Zbl 1192.78021Huang, Kai; Solna, Knut; Zhao, Hongkai 10 2010 A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307Leung, Shingyu; Zhao, Hongkai 10 2009 Analysis of a numerical solver for radiative transport equation. Zbl 1268.65165Gao, Hao; Zhao, Hongkai 9 2013 Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082Liu, Hongyu; Zhao, Hongkai; Zou, Changjian 9 2015 A direct imaging method using far-field data. Zbl 1127.65031Hou, Songming; Solna, Knut; Zhao, Hongkai 8 2007 Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai 8 2011 5D respiratory motion model based image reconstruction algorithm for 4D cone-beam computed tomography. Zbl 1344.68264Liu, Jiulong; Zhang, Xue; Zhang, Xiaoqun; Zhao, Hongkai; Gao, Yu; Thomas, David; Low, Daniel A.; Gao, Hao 8 2015 An efficient algorithm for the generalized Foldy-Lax formulation. Zbl 1284.78014Huang, Kai; Li, Peijun; Zhao, Hongkai 7 2013 Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. Zbl 1425.35016Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai 7 2017 Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. Zbl 1384.65008Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai 7 2017 An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai 7 2011 Quantitative fluorescence photoacoustic tomography. Zbl 1280.49055Ren, Kui; Zhao, Hongkai 7 2013 A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai 6 2014 A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. Zbl 1349.76498Li, Zhilin; Xiao, Li; Cai, Qin; Zhao, Hongkai; Luo, Ray 6 2015 Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack 5 2014 A new phase space method for recovering index of refraction from travel times. Zbl 1110.65065Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai 5 2007 Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094Luo, Songting; Zhao, Hongkai 5 2016 Fast alternating bidirectional preconditioner for the 2D high-frequency Lippmann-Schwinger equation. Zbl 1352.65658Zepeda-Núñez, Leonardo; Zhao, Hongkai 5 2016 Multiscale nonrigid point cloud registration using rotation-invariant sliced-Wasserstein distance via Laplace-Beltrami eigenmap. Zbl 1365.65246Lai, Rongjie; Zhao, Hongkai 4 2017 A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. Zbl 1415.65255Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai 4 2018 Efficient numerical simulation for long range wave propagation. Zbl 1090.76053Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai 4 2006 Computation of quasi-conformal surface maps using discrete Beltrami flow. Zbl 1307.30050Wong, Tsz Wai; Zhao, Hong-kai 4 2014 The use of a coupled computational model for studying the microwave heating of wood. Zbl 0963.80010Zhao, H.; Turner, I. W. 4 2000 Direct computation of perturbed impinging hot jets. Zbl 1177.76356Jiang, X.; Zhao, H.; Luo, K. H. 4 2007 A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Zbl 1335.78002Bao, Gang; Huang, Kai; Li, Peijun; Zhao, Hongkai 4 2014 A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction. Zbl 1459.35194Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai 4 2020 Coupled parabolic equations for wave propagation. Zbl 1090.65120Huang, Kai; Solna, Knut; Zhao, Hongkai 3 2004 A hybrid adaptive phase space method for reflection traveltime tomography. Zbl 1428.65038Zhao, Hongkai; Zhong, Yimin 3 2019 Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. Zbl 1417.65018Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai 3 2017 Modified virtual grid difference for discretizing the Laplace-Beltrami operator on point clouds. Zbl 1379.65083Wang, Meng; Leung, Shingyu; Zhao, Hongkai 2 2018 Variational Hamiltonian Monte Carlo via score matching. Zbl 06989957Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai 2 2018 Absorbing boundary conditions for domain decomposition. Zbl 0952.65098Engquist, Bjorn; Zhao, Hong-Kai 2 1998 Impact behavior of honeycombs under combined shear-compression. II: Analysis. Zbl 1236.74228Hou, B.; Pattofatto, S.; Li, Y. L.; Zhao, H. 2 2011 Real-time adaptive video compression. Zbl 1329.94014Schaeffer, Hayden; Yang, Yi; Zhao, Hongkai; Osher, Stanley 2 2015 Human-inspired motion primitives and transitions for bipedal robotic locomotion in diverse terrain. Zbl 1305.93149Zhao, H.; Powell, M. J.; Ames, A. D. 1 2014 Intrinsic complexity and scaling laws: from random fields to random vectors. Zbl 1428.62206Bryson, Jennifer; Zhao, Hongkai; Zhong, Yimin 1 2019 Effective cell-centred time-domain Maxwell’s equations numerical solvers. Zbl 1076.78014Vegh, V.; Turner, I. W.; Zhao, H. 1 2005 Interference effects in the spontaneous emission from two initially excited atoms. Zbl 1091.81534Zhao, H.; Ujihara, K. 1 2006 Numerical simulations of the flow and sound fields of a heated axisymmetric pulsating jet. Zbl 1344.76027Jiang, X.; Zhao, H.; Cao, L. 1 2006 A surface reconstruction method for highly noisy point clouds. Zbl 1159.68596Lu, DanFeng; Zhao, HongKai; Jiang, Ming; Zhou, ShuLin; Zhou, Tie 1 2005 Euclidean skeletons using closest points. Zbl 1213.94020Luo, Songting; Guibas, Leonidas J.; Zhao, Hong-Kai 1 2011 Statistical analysis of uniparental disomy data using hidden Markov models. Zbl 1209.62345Zhao, H.; Li, J.; Robinson, W. P. 1 2001 A generalized finite-volume time-domain algorithm for solving Maxwell’s equations on arbitrary irregular grids. Zbl 0995.78044Zhao, H.; Turner, I. W. 1 1998 Mathematics in image processing. Lecture notes from the Graduate Summer School Program, Park City, UT, USA, 2010. Zbl 1267.00028 1 2013 Expectation-maximization algorithm with local adaptivity. Zbl 1175.62068Leung, Shingyu; Liang, Gang; Solna, Knut; Zhao, Hongkai 1 2009 Computing surface uniformization using discrete Beltrami flow. Zbl 1317.30064Wong, Tsz Wai; Zhao, Hong-kai 1 2015 Impact behavior of honeycombs under combined shear-compression. I: Experiments. Zbl 1236.74227Hou, B.; Ono, A.; Abdennadher, S.; Pattofatto, S.; Li, Y. L.; Zhao, H. 1 2011 A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction. Zbl 1459.35194Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai 4 2020 Instability of an inverse problem for the stationary radiative transport near the diffusion limit. Zbl 1431.65162Zhao, Hongkai; Zhong, Yimin 10 2019 A hybrid adaptive phase space method for reflection traveltime tomography. Zbl 1428.65038Zhao, Hongkai; Zhong, Yimin 3 2019 Intrinsic complexity and scaling laws: from random fields to random vectors. Zbl 1428.62206Bryson, Jennifer; Zhao, Hongkai; Zhong, Yimin 1 2019 Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022Engquist, Björn; Zhao, Hongkai 18 2018 A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. Zbl 1415.65255Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai 4 2018 Modified virtual grid difference for discretizing the Laplace-Beltrami operator on point clouds. Zbl 1379.65083Wang, Meng; Leung, Shingyu; Zhao, Hongkai 2 2018 Variational Hamiltonian Monte Carlo via score matching. Zbl 06989957Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai 2 2018 Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. Zbl 1425.35016Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai 7 2017 Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. Zbl 1384.65008Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai 7 2017 Multiscale nonrigid point cloud registration using rotation-invariant sliced-Wasserstein distance via Laplace-Beltrami eigenmap. Zbl 1365.65246Lai, Rongjie; Zhao, Hongkai 4 2017 Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. Zbl 1417.65018Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai 3 2017 Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094Luo, Songting; Zhao, Hongkai 5 2016 Fast alternating bidirectional preconditioner for the 2D high-frequency Lippmann-Schwinger equation. Zbl 1352.65658Zepeda-Núñez, Leonardo; Zhao, Hongkai 5 2016 Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082Liu, Hongyu; Zhao, Hongkai; Zou, Changjian 9 2015 5D respiratory motion model based image reconstruction algorithm for 4D cone-beam computed tomography. Zbl 1344.68264Liu, Jiulong; Zhang, Xue; Zhang, Xiaoqun; Zhao, Hongkai; Gao, Yu; Thomas, David; Low, Daniel A.; Gao, Hao 8 2015 A semi-implicit augmented IIM for Navier-Stokes equations with open, traction, or free boundary conditions. Zbl 1349.76498Li, Zhilin; Xiao, Li; Cai, Qin; Zhao, Hongkai; Luo, Ray 6 2015 Real-time adaptive video compression. Zbl 1329.94014Schaeffer, Hayden; Yang, Yi; Zhao, Hongkai; Osher, Stanley 2 2015 Computing surface uniformization using discrete Beltrami flow. Zbl 1317.30064Wong, Tsz Wai; Zhao, Hong-kai 1 2015 A static PDE approach for multidimensional extrapolation using fast sweeping methods. Zbl 1315.65093Aslam, Tariq; Luo, Songting; Zhao, Hongkai 11 2014 A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai 6 2014 Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack 5 2014 Computation of quasi-conformal surface maps using discrete Beltrami flow. Zbl 1307.30050Wong, Tsz Wai; Zhao, Hong-kai 4 2014 A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Zbl 1335.78002Bao, Gang; Huang, Kai; Li, Peijun; Zhao, Hongkai 4 2014 Human-inspired motion primitives and transitions for bipedal robotic locomotion in diverse terrain. Zbl 1305.93149Zhao, H.; Powell, M. J.; Ames, A. D. 1 2014 A weak formulation for solving elliptic interface problems without body fitted grid. Zbl 1314.65147Hou, Songming; Song, Peng; Wang, Liqun; Zhao, Hongkai 40 2013 A local mesh method for solving PDEs on point clouds. Zbl 1273.65034Lai, Rongjie; Liang, Jiang; Zhao, Hongkai 24 2013 A hybrid reconstruction method for quantitative PAT. Zbl 1280.49054Ren, Kui; Gao, Hao; Zhao, Hongkai 17 2013 Solving partial differential equations on point clouds. Zbl 1275.65080Liang, Jian; Zhao, Hongkai 16 2013 Analysis of a numerical solver for radiative transport equation. Zbl 1268.65165Gao, Hao; Zhao, Hongkai 9 2013 An efficient algorithm for the generalized Foldy-Lax formulation. Zbl 1284.78014Huang, Kai; Li, Peijun; Zhao, Hongkai 7 2013 Quantitative fluorescence photoacoustic tomography. Zbl 1280.49055Ren, Kui; Zhao, Hongkai 7 2013 Mathematics in image processing. Lecture notes from the Graduate Summer School Program, Park City, UT, USA, 2010. Zbl 1267.00028 1 2013 Quantitative photoacoustic tomography. Zbl 1345.92087Gao, Hao; Osher, Stanley; Zhao, Hongkai 14 2012 A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089Leung, Shingyu; Lowengrub, John; Zhao, Hongkai 36 2011 An efficient Neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed. Zbl 1279.94029Qian, Jianliang; Stefanov, Plamen; Uhlmann, Gunther; Zhao, Hongkai 33 2011 A new approximation for effective Hamiltonians for homogenization of a class of Hamilton-Jacobi equations. Zbl 1241.35012Luo, Songting; Yu, Yifeng; Zhao, Hongkai 15 2011 Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations. Zbl 1255.65215Zhang, Yong-Tao; Chen, Shanqin; Li, Fengyan; Zhao, Hongkai; Shu, Chi-Wang 13 2011 Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai 8 2011 An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai 7 2011 Impact behavior of honeycombs under combined shear-compression. II: Analysis. Zbl 1236.74228Hou, B.; Pattofatto, S.; Li, Y. L.; Zhao, H. 2 2011 Euclidean skeletons using closest points. Zbl 1213.94020Luo, Songting; Guibas, Leonidas J.; Zhao, Hong-Kai 1 2011 Impact behavior of honeycombs under combined shear-compression. I: Experiments. Zbl 1236.74227Hou, B.; Ono, A.; Abdennadher, S.; Pattofatto, S.; Li, Y. L.; Zhao, H. 1 2011 Gaussian beam summation for diffraction in inhomogeneous media based on the grid based particle method. Zbl 1364.78016Leung, Shingyu; Zhao, Hongkai 11 2010 An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai 10 2010 A compact upwind second order scheme for the eikonal equation. Zbl 1240.65233Benamou, J.-D.; Luo, Songting; Zhao, Hongkai 10 2010 Generalized Foldy-Lax formulation. Zbl 1192.78021Huang, Kai; Solna, Knut; Zhao, Hongkai 10 2010 A grid based particle method for moving interface problems. Zbl 1161.65013Leung, Shingyu; Zhao, Hongkai 34 2009 Fast sweeping method for the factored eikonal equation. Zbl 1175.65125Fomel, Sergey; Luo, Songting; Zhao, Hongkai 30 2009 A fast-forward solver of radiative transfer equation. Zbl 1187.78028Gao, Hao; Zhao, Hongkai 27 2009 A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307Leung, Shingyu; Zhao, Hongkai 10 2009 Expectation-maximization algorithm with local adaptivity. Zbl 1175.62068Leung, Shingyu; Liang, Gang; Solna, Knut; Zhao, Hongkai 1 2009 A second order discontinuous Galerkin fast sweeping method for eikonal equations. Zbl 1151.65092Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai 22 2008 Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai 44 2007 A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai 40 2007 A direct imaging method using far-field data. Zbl 1127.65031Hou, Songming; Solna, Knut; Zhao, Hongkai 8 2007 A new phase space method for recovering index of refraction from travel times. Zbl 1110.65065Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai 5 2007 Direct computation of perturbed impinging hot jets. Zbl 1177.76356Jiang, X.; Zhao, H.; Luo, K. H. 4 2007 A level-set method for interfacial flows with surfactant. Zbl 1161.76548Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai 80 2006 High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang 65 2006 A direct imaging algorithm for extended targets. Zbl 1112.78014Hou, Songming; Solna, Knut; Zhao, Hongkai 27 2006 Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations. Zbl 1134.65076Zhang, Yong-Tao; Zhao, Hong-Kai; Chen, Shanqin 12 2006 Efficient numerical simulation for long range wave propagation. Zbl 1090.76053Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai 4 2006 Interference effects in the spontaneous emission from two initially excited atoms. Zbl 1091.81534Zhao, H.; Ujihara, K. 1 2006 Numerical simulations of the flow and sound fields of a heated axisymmetric pulsating jet. Zbl 1344.76027Jiang, X.; Zhao, H.; Cao, L. 1 2006 A fast sweeping method for eikonal equations. Zbl 1070.65113Zhao, Hongkai 201 2005 Effective cell-centred time-domain Maxwell’s equations numerical solvers. Zbl 1076.78014Vegh, V.; Turner, I. W.; Zhao, H. 1 2005 A surface reconstruction method for highly noisy point clouds. Zbl 1159.68596Lu, DanFeng; Zhao, HongKai; Jiang, Ming; Zhou, ShuLin; Zhou, Tie 1 2005 Imaging of location and geometry for extended targets using the response matrix. Zbl 1054.65065Hou, Songming; Solna, Knut; Zhao, Hongkai 16 2004 Turbulent drag reduction by traveling wave of flexible wall. Zbl 1060.76563Zhao, H.; Wu, J.-Z.; Luo, J.-S. 15 2004 Analysis of the response matrix for an extended target. Zbl 1126.74417Zhao, Hongkai 13 2004 Coupled parabolic equations for wave propagation. Zbl 1090.65120Huang, Kai; Solna, Knut; Zhao, Hongkai 3 2004 Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020Tsai, Yen-Hsi Richard; Cheng, Li-Tien; Osher, Stanley; Zhao, Hong-Kai 121 2003 An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579Xu, Jian-Jun; Zhao, Hong-Kai 79 2003 Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions. Zbl 1022.65112Gander, Martin J.; Zhao, Hongkai 23 2002 Reactive autophobic spreading of drops. Zbl 1046.76036Hunter, John K.; Li, Zhilin; Zhao, Hongkai 18 2002 Statistical analysis of uniparental disomy data using hidden Markov models. Zbl 1209.62345Zhao, H.; Li, J.; Robinson, W. P. 1 2001 Implicit and nonparametric shape reconstruction from unorganized data using a variational level set method. Zbl 1011.68538Zhao, Hong-Kai; Osher, Stanley; Merriman, Barry; Kang, Myungjoo 52 2000 The use of a coupled computational model for studying the microwave heating of wood. Zbl 0963.80010Zhao, H.; Turner, I. W. 4 2000 A PDE-based fast local level set method. Zbl 0964.76069Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo 293 1999 A numerical study of electro-migration voiding by evolving level set functions on a fixed Cartesian grid. Zbl 0956.78016Li, Zhilin; Zhao, Hongkai; Gao, Huajian 36 1999 The geometry of Wulff crystal shapes and its relations with Riemann problems. Zbl 0942.35113Peng, Danping; Osher, Stanley; Merriman, Barry; Zhao, Hong-Kai 11 1999 Absorbing boundary conditions for domain decomposition. Zbl 0935.65135Engquist, Bjorn; Zhao, Hong-Kai 24 1998 Capturing the behavior of bubbles and drops using the variational level set approach. Zbl 0936.76065Zhao, Hong-Kai; Merriman, Barry; Osher, Stanley; Wang, Lihe 18 1998 Absorbing boundary conditions for domain decomposition. Zbl 0952.65098Engquist, Bjorn; Zhao, Hong-Kai 2 1998 A generalized finite-volume time-domain algorithm for solving Maxwell’s equations on arbitrary irregular grids. Zbl 0995.78044Zhao, H.; Turner, I. W. 1 1998 A hybrid method for moving interface problems with application to the Hele-Shaw flow. Zbl 0888.76067Hou, Thomas Y.; Li, Zhilin; Osher, Stanley; Zhao, Hongkai 109 1997 A variational level set approach to multiphase motion. Zbl 0860.65050Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S. 193 1996 Production-inventory systems with unreliable machines. Zbl 0798.90074Berg, M.; Posner, M. J. M.; Zhao, H. 19 1994 all cited Publications top 5 cited Publications all top 5 Cited by 2,097 Authors 35 Osher, Stanley Joel 34 Qian, Jianliang 34 Zhao, Hongkai 27 Li, Zhilin 22 Tsai, Yen-Hsi Richard 21 Leung, Shingyu 17 Park, Won-Kwang 14 Hou, Songming 14 Lowengrub, John Samuel 13 Lai, Mingchih 13 Ren, Kui 13 Shi, Liwei 13 Wang, Michael Yu 12 Cheng, Li-Tien 12 Wang, Liqun 11 Gibou, Frédéric 11 Luo, Songting 11 Zhong, Yimin 10 Fedkiw, Ronald P. 10 Kang, Myungjoo 10 Ruuth, Steven J. 10 Wei, Guowei 9 Dehghan Takht Fooladi, Mehdi 9 Gander, Martin Jakob 9 Merriman, Barry 9 Mikula, Karol 9 Zhang, Yongtao 8 Frolkovič, Peter 8 Sethian, James A. 8 Tai, Xuecheng 7 Adams, Nikolaus A. 7 Burridge, Robert 7 Jiang, Yanqun 7 Kao, Chiu-Yen 7 Laurain, Antoine 7 Nürnberg, Robert 7 Sapiro, Guillermo 7 Udaykumar, Holavanahalli S. 7 Xia, Qi 7 Zhao, Shan 6 Choi, Gary Pui-Tung 6 Deng, Xiaolong 6 Elliott, Charles M. 6 Esedoglu, Selim 6 Glowinski, Roland 6 Han, Weimin 6 Jin, Shi 6 Khoo, Boo Cheong 6 Lai, Rongjie 6 Lu, Wangtao 6 Lui, Lok Ming 6 Nave, Jean-Christophe 6 Shi, Tielin 6 Shu, Chi-Wang 6 Tornberg, Anna-Karin 6 Xu, Jianjun 6 Yang, Xu 5 Ammari, Habib M. 5 Bao, Weizhu 5 Chan, Tony Fan-Cheong 5 Chen, Jinru 5 Chung, Tsz Shun Eric 5 Cristiani, Emiliano 5 Dapogny, Charles 5 Darbon, Jerome 5 Dong, Bin 5 Duan, Xianbao 5 Engquist, Bjorn E. 5 Falcone, Maurizio 5 Gout, Christian 5 Han, Bo 5 Ji, Haifeng 5 Jiang, Yaolin 5 Kim, Junseok 5 Liu, Chunxiao 5 Luo, Zhen 5 Min, Chohong 5 Salac, David 5 Salehi, Rezvan 5 Sølna, Knut 5 Stern, Fred 5 Tang, Jinping 5 Towers, John D. 5 Wei, Peng 5 Yang, Jianming 5 Yang, Yang 4 Allaire, Grégoire 4 Averbuch, Amir Z. 4 Bertozzi, Andrea Louise 4 Bi, Bo 4 Boulaaras, Salah Mahmoud 4 Chow, Yat Tin 4 Feppon, Florian 4 Fu, Shubin 4 Garnier, Josselin 4 Graham, Ivan G. 4 Herrmann, Marcus 4 Israeli, Moshe 4 Ju, Lili 4 Kolahdouz, Ebrahim M. ...and 1,997 more Authors all top 5 Cited in 186 Serials 332 Journal of Computational Physics 95 Journal of Scientific Computing 50 Computer Methods in Applied Mechanics and Engineering 44 SIAM Journal on Scientific Computing 42 Computers and Fluids 34 Inverse Problems 33 Computers & Mathematics with Applications 32 Journal of Computational and Applied Mathematics 24 Applied Numerical Mathematics 24 SIAM Journal on Imaging Sciences 20 Journal of Fluid Mechanics 19 Mathematics of Computation 19 Applied Mathematics and Computation 19 Inverse Problems and Imaging 17 International Journal for Numerical Methods in Engineering 16 Journal of Mathematical Imaging and Vision 15 Applied Mathematical Modelling 14 Multiscale Modeling & Simulation 13 SIAM Journal on Applied Mathematics 12 SIAM Journal on Numerical Analysis 11 International Journal of Computer Mathematics 11 Communications in Computational Physics 10 Numerical Algorithms 10 SIAM Journal on Mathematical Analysis 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Numerische Mathematik 8 Computational Mechanics 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Advances in Computational Mathematics 8 Computational Geosciences 8 Advances in Applied Mathematics and Mechanics 8 Research in the Mathematical Sciences 7 International Journal for Numerical Methods in Fluids 7 Applied Mathematics Letters 7 Computing and Visualization in Science 6 Computer Aided Geometric Design 6 International Journal of Computer Vision 6 Mathematical Problems in Engineering 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Biology 5 International Journal of Computational Fluid Dynamics 5 International Journal of Computational Methods 5 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Optimization Theory and Applications 4 Physics of Fluids 4 Archives of Computational Methods in Engineering 4 Structural and Multidisciplinary Optimization 4 Computational & Mathematical Methods in Medicine 3 Physica A 3 Wave Motion 3 Numerical Methods for Partial Differential Equations 3 Calculus of Variations and Partial Differential Equations 3 Applied and Computational Harmonic Analysis 3 Journal of Inverse and Ill-Posed Problems 3 Interfaces and Free Boundaries 3 Acta Mathematica Scientia. Series B. (English Edition) 3 Communications on Pure and Applied Analysis 3 Inverse Problems in Science and Engineering 3 GEM - International Journal on Geomathematics 3 SIAM/ASA Journal on Uncertainty Quantification 2 Archive for Rational Mechanics and Analysis 2 International Journal of Control 2 Journal of Differential Equations 2 Kybernetika 2 Mathematics and Computers in Simulation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematicae Applicatae Sinica. English Series 2 Mathematical and Computer Modelling 2 European Journal of Applied Mathematics 2 Pattern Recognition 2 Applied Mathematics. Series B (English Edition) 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Journal of Mathematical Chemistry 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Combustion Theory and Modelling 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Sādhanā 2 Boundary Value Problems 2 Waves in Random and Complex Media 2 Mathematical Geosciences 2 Algorithms 2 Dynamic Games and Applications 2 Statistics and Computing 2 Journal of Theoretical Biology 2 Bayesian Analysis 2 International Journal of Partial Differential Equations 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Applied Mathematics and Computational Mechanics 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics 1 International Journal of Engineering Science ...and 86 more Serials all top 5 Cited in 40 Fields 805 Numerical analysis (65-XX) 458 Partial differential equations (35-XX) 398 Fluid mechanics (76-XX) 138 Mechanics of deformable solids (74-XX) 120 Calculus of variations and optimal control; optimization (49-XX) 102 Biology and other natural sciences (92-XX) 94 Optics, electromagnetic theory (78-XX) 89 Computer science (68-XX) 78 Information and communication theory, circuits (94-XX) 47 Classical thermodynamics, heat transfer (80-XX) 42 Statistical mechanics, structure of matter (82-XX) 36 Operations research, mathematical programming (90-XX) 27 Geophysics (86-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Statistics (62-XX) 15 Integral equations (45-XX) 14 Differential geometry (53-XX) 14 Probability theory and stochastic processes (60-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Systems theory; control (93-XX) 12 Quantum theory (81-XX) 11 Mechanics of particles and systems (70-XX) 10 Ordinary differential equations (34-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Approximations and expansions (41-XX) 8 Operator theory (47-XX) 7 Integral transforms, operational calculus (44-XX) 7 Astronomy and astrophysics (85-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functional analysis (46-XX) 4 Functions of a complex variable (30-XX) 4 Special functions (33-XX) 4 Convex and discrete geometry (52-XX) 2 Real functions (26-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year