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Author ID: zhao.hongkai Recent zbMATH articles by "Zhao, Hongkai"
Published as: Zhao, Hongkai; Zhao, Hong-Kai; Zhao, Hong-kai; Zhao, HongKai
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

Publications by Year

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 0964.76069
Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo
293
1999
A fast sweeping method for eikonal equations. Zbl 1070.65113
Zhao, Hongkai
201
2005
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
193
1996
Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020
Tsai, 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 0888.76067
Hou, Thomas Y.; Li, Zhilin; Osher, Stanley; Zhao, Hongkai
109
1997
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
80
2006
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
79
2003
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
65
2006
Implicit and nonparametric shape reconstruction from unorganized data using a variational level set method. Zbl 1011.68538
Zhao, Hong-Kai; Osher, Stanley; Merriman, Barry; Kang, Myungjoo
52
2000
Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
44
2007
A weak formulation for solving elliptic interface problems without body fitted grid. Zbl 1314.65147
Hou, Songming; Song, Peng; Wang, Liqun; Zhao, Hongkai
40
2013
A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005
Qian, 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 1316.65089
Leung, 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 0956.78016
Li, Zhilin; Zhao, Hongkai; Gao, Huajian
36
1999
A grid based particle method for moving interface problems. Zbl 1161.65013
Leung, Shingyu; Zhao, Hongkai
34
2009
An efficient Neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed. Zbl 1279.94029
Qian, Jianliang; Stefanov, Plamen; Uhlmann, Gunther; Zhao, Hongkai
33
2011
Fast sweeping method for the factored eikonal equation. Zbl 1175.65125
Fomel, Sergey; Luo, Songting; Zhao, Hongkai
30
2009
A direct imaging algorithm for extended targets. Zbl 1112.78014
Hou, Songming; Solna, Knut; Zhao, Hongkai
27
2006
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
27
2009
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
24
1998
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
24
2013
Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions. Zbl 1022.65112
Gander, Martin J.; Zhao, Hongkai
23
2002
A second order discontinuous Galerkin fast sweeping method for eikonal equations. Zbl 1151.65092
Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai
22
2008
Production-inventory systems with unreliable machines. Zbl 0798.90074
Berg, 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 1405.35022
Engquist, Björn; Zhao, Hongkai
18
2018
Capturing the behavior of bubbles and drops using the variational level set approach. Zbl 0936.76065
Zhao, Hong-Kai; Merriman, Barry; Osher, Stanley; Wang, Lihe
18
1998
Reactive autophobic spreading of drops. Zbl 1046.76036
Hunter, John K.; Li, Zhilin; Zhao, Hongkai
18
2002
A hybrid reconstruction method for quantitative PAT. Zbl 1280.49054
Ren, Kui; Gao, Hao; Zhao, Hongkai
17
2013
Imaging of location and geometry for extended targets using the response matrix. Zbl 1054.65065
Hou, Songming; Solna, Knut; Zhao, Hongkai
16
2004
Solving partial differential equations on point clouds. Zbl 1275.65080
Liang, Jian; Zhao, Hongkai
16
2013
A new approximation for effective Hamiltonians for homogenization of a class of Hamilton-Jacobi equations. Zbl 1241.35012
Luo, Songting; Yu, Yifeng; Zhao, Hongkai
15
2011
Turbulent drag reduction by traveling wave of flexible wall. Zbl 1060.76563
Zhao, H.; Wu, J.-Z.; Luo, J.-S.
15
2004
Quantitative photoacoustic tomography. Zbl 1345.92087
Gao, Hao; Osher, Stanley; Zhao, Hongkai
14
2012
Analysis of the response matrix for an extended target. Zbl 1126.74417
Zhao, Hongkai
13
2004
Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations. Zbl 1255.65215
Zhang, Yong-Tao; Chen, Shanqin; Li, Fengyan; Zhao, Hongkai; Shu, Chi-Wang
13
2011
Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations. Zbl 1134.65076
Zhang, 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 1364.78016
Leung, Shingyu; Zhao, Hongkai
11
2010
A static PDE approach for multidimensional extrapolation using fast sweeping methods. Zbl 1315.65093
Aslam, Tariq; Luo, Songting; Zhao, Hongkai
11
2014
The geometry of Wulff crystal shapes and its relations with Riemann problems. Zbl 0942.35113
Peng, 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 1431.65162
Zhao, Hongkai; Zhong, Yimin
10
2019
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
10
2010
A compact upwind second order scheme for the eikonal equation. Zbl 1240.65233
Benamou, J.-D.; Luo, Songting; Zhao, Hongkai
10
2010
Generalized Foldy-Lax formulation. Zbl 1192.78021
Huang, Kai; Solna, Knut; Zhao, Hongkai
10
2010
A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307
Leung, Shingyu; Zhao, Hongkai
10
2009
Analysis of a numerical solver for radiative transport equation. Zbl 1268.65165
Gao, Hao; Zhao, Hongkai
9
2013
Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082
Liu, Hongyu; Zhao, Hongkai; Zou, Changjian
9
2015
A direct imaging method using far-field data. Zbl 1127.65031
Hou, Songming; Solna, Knut; Zhao, Hongkai
8
2007
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, 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 1344.68264
Liu, 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 1284.78014
Huang, Kai; Li, Peijun; Zhao, Hongkai
7
2013
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. Zbl 1425.35016
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
7
2017
Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. Zbl 1384.65008
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
7
2017
An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
7
2011
Quantitative fluorescence photoacoustic tomography. Zbl 1280.49055
Ren, Kui; Zhao, Hongkai
7
2013
A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038
Hon, 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 1349.76498
Li, Zhilin; Xiao, Li; Cai, Qin; Zhao, Hongkai; Luo, Ray
6
2015
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
5
2014
A new phase space method for recovering index of refraction from travel times. Zbl 1110.65065
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
5
2007
Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094
Luo, Songting; Zhao, Hongkai
5
2016
Fast alternating bidirectional preconditioner for the 2D high-frequency Lippmann-Schwinger equation. Zbl 1352.65658
Zepeda-Núñez, Leonardo; Zhao, Hongkai
5
2016
Multiscale nonrigid point cloud registration using rotation-invariant sliced-Wasserstein distance via Laplace-Beltrami eigenmap. Zbl 1365.65246
Lai, Rongjie; Zhao, Hongkai
4
2017
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. Zbl 1415.65255
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
4
2018
Efficient numerical simulation for long range wave propagation. Zbl 1090.76053
Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai
4
2006
Computation of quasi-conformal surface maps using discrete Beltrami flow. Zbl 1307.30050
Wong, Tsz Wai; Zhao, Hong-kai
4
2014
The use of a coupled computational model for studying the microwave heating of wood. Zbl 0963.80010
Zhao, H.; Turner, I. W.
4
2000
Direct computation of perturbed impinging hot jets. Zbl 1177.76356
Jiang, X.; Zhao, H.; Luo, K. H.
4
2007
A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Zbl 1335.78002
Bao, 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 1459.35194
Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai
4
2020
Coupled parabolic equations for wave propagation. Zbl 1090.65120
Huang, Kai; Solna, Knut; Zhao, Hongkai
3
2004
A hybrid adaptive phase space method for reflection traveltime tomography. Zbl 1428.65038
Zhao, Hongkai; Zhong, Yimin
3
2019
Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. Zbl 1417.65018
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
3
2017
Modified virtual grid difference for discretizing the Laplace-Beltrami operator on point clouds. Zbl 1379.65083
Wang, Meng; Leung, Shingyu; Zhao, Hongkai
2
2018
Variational Hamiltonian Monte Carlo via score matching. Zbl 06989957
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
2
2018
Absorbing boundary conditions for domain decomposition. Zbl 0952.65098
Engquist, Bjorn; Zhao, Hong-Kai
2
1998
Impact behavior of honeycombs under combined shear-compression. II: Analysis. Zbl 1236.74228
Hou, B.; Pattofatto, S.; Li, Y. L.; Zhao, H.
2
2011
Real-time adaptive video compression. Zbl 1329.94014
Schaeffer, Hayden; Yang, Yi; Zhao, Hongkai; Osher, Stanley
2
2015
Human-inspired motion primitives and transitions for bipedal robotic locomotion in diverse terrain. Zbl 1305.93149
Zhao, H.; Powell, M. J.; Ames, A. D.
1
2014
Intrinsic complexity and scaling laws: from random fields to random vectors. Zbl 1428.62206
Bryson, Jennifer; Zhao, Hongkai; Zhong, Yimin
1
2019
Effective cell-centred time-domain Maxwell’s equations numerical solvers. Zbl 1076.78014
Vegh, V.; Turner, I. W.; Zhao, H.
1
2005
Interference effects in the spontaneous emission from two initially excited atoms. Zbl 1091.81534
Zhao, H.; Ujihara, K.
1
2006
Numerical simulations of the flow and sound fields of a heated axisymmetric pulsating jet. Zbl 1344.76027
Jiang, X.; Zhao, H.; Cao, L.
1
2006
A surface reconstruction method for highly noisy point clouds. Zbl 1159.68596
Lu, DanFeng; Zhao, HongKai; Jiang, Ming; Zhou, ShuLin; Zhou, Tie
1
2005
Euclidean skeletons using closest points. Zbl 1213.94020
Luo, Songting; Guibas, Leonidas J.; Zhao, Hong-Kai
1
2011
Statistical analysis of uniparental disomy data using hidden Markov models. Zbl 1209.62345
Zhao, 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 0995.78044
Zhao, 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 1175.62068
Leung, Shingyu; Liang, Gang; Solna, Knut; Zhao, Hongkai
1
2009
Computing surface uniformization using discrete Beltrami flow. Zbl 1317.30064
Wong, Tsz Wai; Zhao, Hong-kai
1
2015
Impact behavior of honeycombs under combined shear-compression. I: Experiments. Zbl 1236.74227
Hou, 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 1459.35194
Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai
4
2020
Instability of an inverse problem for the stationary radiative transport near the diffusion limit. Zbl 1431.65162
Zhao, Hongkai; Zhong, Yimin
10
2019
A hybrid adaptive phase space method for reflection traveltime tomography. Zbl 1428.65038
Zhao, Hongkai; Zhong, Yimin
3
2019
Intrinsic complexity and scaling laws: from random fields to random vectors. Zbl 1428.62206
Bryson, Jennifer; Zhao, Hongkai; Zhong, Yimin
1
2019
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
18
2018
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media. Zbl 1415.65255
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
4
2018
Modified virtual grid difference for discretizing the Laplace-Beltrami operator on point clouds. Zbl 1379.65083
Wang, Meng; Leung, Shingyu; Zhao, Hongkai
2
2018
Variational Hamiltonian Monte Carlo via score matching. Zbl 06989957
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
2
2018
Learning dominant wave directions for plane wave methods for high-frequency Helmholtz equations. Zbl 1425.35016
Fang, Jun; Qian, Jianliang; Zepeda-Núñez, Leonardo; Zhao, Hongkai
7
2017
Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. Zbl 1384.65008
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
7
2017
Multiscale nonrigid point cloud registration using rotation-invariant sliced-Wasserstein distance via Laplace-Beltrami eigenmap. Zbl 1365.65246
Lai, Rongjie; Zhao, Hongkai
4
2017
Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. Zbl 1417.65018
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
3
2017
Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094
Luo, Songting; Zhao, Hongkai
5
2016
Fast alternating bidirectional preconditioner for the 2D high-frequency Lippmann-Schwinger equation. Zbl 1352.65658
Zepeda-Núñez, Leonardo; Zhao, Hongkai
5
2016
Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082
Liu, Hongyu; Zhao, Hongkai; Zou, Changjian
9
2015
5D respiratory motion model based image reconstruction algorithm for 4D cone-beam computed tomography. Zbl 1344.68264
Liu, 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 1349.76498
Li, Zhilin; Xiao, Li; Cai, Qin; Zhao, Hongkai; Luo, Ray
6
2015
Real-time adaptive video compression. Zbl 1329.94014
Schaeffer, Hayden; Yang, Yi; Zhao, Hongkai; Osher, Stanley
2
2015
Computing surface uniformization using discrete Beltrami flow. Zbl 1317.30064
Wong, Tsz Wai; Zhao, Hong-kai
1
2015
A static PDE approach for multidimensional extrapolation using fast sweeping methods. Zbl 1315.65093
Aslam, Tariq; Luo, Songting; Zhao, Hongkai
11
2014
A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038
Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai
6
2014
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
5
2014
Computation of quasi-conformal surface maps using discrete Beltrami flow. Zbl 1307.30050
Wong, Tsz Wai; Zhao, Hong-kai
4
2014
A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Zbl 1335.78002
Bao, Gang; Huang, Kai; Li, Peijun; Zhao, Hongkai
4
2014
Human-inspired motion primitives and transitions for bipedal robotic locomotion in diverse terrain. Zbl 1305.93149
Zhao, H.; Powell, M. J.; Ames, A. D.
1
2014
A weak formulation for solving elliptic interface problems without body fitted grid. Zbl 1314.65147
Hou, Songming; Song, Peng; Wang, Liqun; Zhao, Hongkai
40
2013
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
24
2013
A hybrid reconstruction method for quantitative PAT. Zbl 1280.49054
Ren, Kui; Gao, Hao; Zhao, Hongkai
17
2013
Solving partial differential equations on point clouds. Zbl 1275.65080
Liang, Jian; Zhao, Hongkai
16
2013
Analysis of a numerical solver for radiative transport equation. Zbl 1268.65165
Gao, Hao; Zhao, Hongkai
9
2013
An efficient algorithm for the generalized Foldy-Lax formulation. Zbl 1284.78014
Huang, Kai; Li, Peijun; Zhao, Hongkai
7
2013
Quantitative fluorescence photoacoustic tomography. Zbl 1280.49055
Ren, 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 1345.92087
Gao, 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 1316.65089
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
36
2011
An efficient Neumann series-based algorithm for thermoacoustic and photoacoustic tomography with variable sound speed. Zbl 1279.94029
Qian, 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 1241.35012
Luo, Songting; Yu, Yifeng; Zhao, Hongkai
15
2011
Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations. Zbl 1255.65215
Zhang, Yong-Tao; Chen, Shanqin; Li, Fengyan; Zhao, Hongkai; Shu, Chi-Wang
13
2011
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
8
2011
An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
7
2011
Impact behavior of honeycombs under combined shear-compression. II: Analysis. Zbl 1236.74228
Hou, B.; Pattofatto, S.; Li, Y. L.; Zhao, H.
2
2011
Euclidean skeletons using closest points. Zbl 1213.94020
Luo, Songting; Guibas, Leonidas J.; Zhao, Hong-Kai
1
2011
Impact behavior of honeycombs under combined shear-compression. I: Experiments. Zbl 1236.74227
Hou, 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 1364.78016
Leung, Shingyu; Zhao, Hongkai
11
2010
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
10
2010
A compact upwind second order scheme for the eikonal equation. Zbl 1240.65233
Benamou, J.-D.; Luo, Songting; Zhao, Hongkai
10
2010
Generalized Foldy-Lax formulation. Zbl 1192.78021
Huang, Kai; Solna, Knut; Zhao, Hongkai
10
2010
A grid based particle method for moving interface problems. Zbl 1161.65013
Leung, Shingyu; Zhao, Hongkai
34
2009
Fast sweeping method for the factored eikonal equation. Zbl 1175.65125
Fomel, Sergey; Luo, Songting; Zhao, Hongkai
30
2009
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
27
2009
A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307
Leung, Shingyu; Zhao, Hongkai
10
2009
Expectation-maximization algorithm with local adaptivity. Zbl 1175.62068
Leung, Shingyu; Liang, Gang; Solna, Knut; Zhao, Hongkai
1
2009
A second order discontinuous Galerkin fast sweeping method for eikonal equations. Zbl 1151.65092
Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai
22
2008
Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
44
2007
A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
40
2007
A direct imaging method using far-field data. Zbl 1127.65031
Hou, Songming; Solna, Knut; Zhao, Hongkai
8
2007
A new phase space method for recovering index of refraction from travel times. Zbl 1110.65065
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
5
2007
Direct computation of perturbed impinging hot jets. Zbl 1177.76356
Jiang, X.; Zhao, H.; Luo, K. H.
4
2007
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
80
2006
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
65
2006
A direct imaging algorithm for extended targets. Zbl 1112.78014
Hou, Songming; Solna, Knut; Zhao, Hongkai
27
2006
Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations. Zbl 1134.65076
Zhang, Yong-Tao; Zhao, Hong-Kai; Chen, Shanqin
12
2006
Efficient numerical simulation for long range wave propagation. Zbl 1090.76053
Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai
4
2006
Interference effects in the spontaneous emission from two initially excited atoms. Zbl 1091.81534
Zhao, H.; Ujihara, K.
1
2006
Numerical simulations of the flow and sound fields of a heated axisymmetric pulsating jet. Zbl 1344.76027
Jiang, X.; Zhao, H.; Cao, L.
1
2006
A fast sweeping method for eikonal equations. Zbl 1070.65113
Zhao, Hongkai
201
2005
Effective cell-centred time-domain Maxwell’s equations numerical solvers. Zbl 1076.78014
Vegh, V.; Turner, I. W.; Zhao, H.
1
2005
A surface reconstruction method for highly noisy point clouds. Zbl 1159.68596
Lu, DanFeng; Zhao, HongKai; Jiang, Ming; Zhou, ShuLin; Zhou, Tie
1
2005
Imaging of location and geometry for extended targets using the response matrix. Zbl 1054.65065
Hou, Songming; Solna, Knut; Zhao, Hongkai
16
2004
Turbulent drag reduction by traveling wave of flexible wall. Zbl 1060.76563
Zhao, H.; Wu, J.-Z.; Luo, J.-S.
15
2004
Analysis of the response matrix for an extended target. Zbl 1126.74417
Zhao, Hongkai
13
2004
Coupled parabolic equations for wave propagation. Zbl 1090.65120
Huang, Kai; Solna, Knut; Zhao, Hongkai
3
2004
Fast sweeping algorithms for a class of Hamilton-Jacobi equations. Zbl 1049.35020
Tsai, 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 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
79
2003
Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions. Zbl 1022.65112
Gander, Martin J.; Zhao, Hongkai
23
2002
Reactive autophobic spreading of drops. Zbl 1046.76036
Hunter, John K.; Li, Zhilin; Zhao, Hongkai
18
2002
Statistical analysis of uniparental disomy data using hidden Markov models. Zbl 1209.62345
Zhao, H.; Li, J.; Robinson, W. P.
1
2001
Implicit and nonparametric shape reconstruction from unorganized data using a variational level set method. Zbl 1011.68538
Zhao, 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 0963.80010
Zhao, H.; Turner, I. W.
4
2000
A PDE-based fast local level set method. Zbl 0964.76069
Peng, 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 0956.78016
Li, Zhilin; Zhao, Hongkai; Gao, Huajian
36
1999
The geometry of Wulff crystal shapes and its relations with Riemann problems. Zbl 0942.35113
Peng, Danping; Osher, Stanley; Merriman, Barry; Zhao, Hong-Kai
11
1999
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
24
1998
Capturing the behavior of bubbles and drops using the variational level set approach. Zbl 0936.76065
Zhao, Hong-Kai; Merriman, Barry; Osher, Stanley; Wang, Lihe
18
1998
Absorbing boundary conditions for domain decomposition. Zbl 0952.65098
Engquist, Bjorn; Zhao, Hong-Kai
2
1998
A generalized finite-volume time-domain algorithm for solving Maxwell’s equations on arbitrary irregular grids. Zbl 0995.78044
Zhao, H.; Turner, I. W.
1
1998
A hybrid method for moving interface problems with application to the Hele-Shaw flow. Zbl 0888.76067
Hou, Thomas Y.; Li, Zhilin; Osher, Stanley; Zhao, Hongkai
109
1997
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
193
1996
Production-inventory systems with unreliable machines. Zbl 0798.90074
Berg, M.; Posner, M. J. M.; Zhao, H.
19
1994
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