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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
8 Zhong, Yimin
7 Sølna, Knut
6 Luo, Songting
6 Zhang, Yongtao
5 Gao, Hao
5 Hou, Songming
5 Huang, Kai
5 Merriman, Barry
4 Zhang, Cheng
3 Engquist, Bjorn E.
3 Lai, Rongjie
3 Li, Ji
3 Lowengrub, John Samuel
3 Ren, Kui
3 Shahbaba, Babak
3 Uhlmann, Gunther Alberto
3 Xu, Jianjun
3 Zepeda-Núñez, Leonardo
2 Bryson, Jennifer
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 Li, Sijing
2 Liang, Jian
2 Peng, Danping
2 Shu, Chi-Wang
2 Wong, Tsz Wai
2 Zhang, Zhiwen
1 Aslam, Tariq D.
1 Bao, Gang
1 Benamou, Jean-David
1 Cai, Qin
1 Castillo, Edward
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 Lai, Mingchih
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, Ray
1 Lyu, Pengfei
1 Mitchell, Ian M.
1 Papanicolaou, George C.
1 Schaeffer, Hayden
1 Song, Peng
1 Stefanov, Plamen D.
1 Torres, Monica
1 Tsai, Yen-Hsi Richard
1 Tsogka, Chrysoula
1 Vershynin, Roman
1 Wang, Lihe
1 Wang, Liqun
1 Wang, Meng
1 Xiao, Li
1 Xin, Jack X.
1 Yang, Yi
1 Ying, Ningchen
1 Yu, Yifeng
1 Zhang, Xiaoqun
1 Zhang, Xue
1 Zhou, Hao-Min
1 Zhou, Shulin
1 Zhou, Tie
1 Zou, Changjian

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 2,381 times in 1,492 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
322
1999
A fast sweeping method for eikonal equations. Zbl 1070.65113
Zhao, Hongkai
233
2005
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
216
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
128
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
120
1997
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
93
2003
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
91
2006
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
79
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
64
2000
Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
58
2007
A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
49
2007
A weak formulation for solving elliptic interface problems without body fitted grid. Zbl 1314.65147
Hou, Songming; Song, Peng; Wang, Liqun; Zhao, Hongkai
48
2013
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
40
1999
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
40
2011
A grid based particle method for moving interface problems. Zbl 1161.65013
Leung, Shingyu; Zhao, Hongkai
40
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
36
2011
Fast sweeping method for the factored eikonal equation. Zbl 1175.65125
Fomel, Sergey; Luo, Songting; Zhao, Hongkai
36
2009
Solving partial differential equations on point clouds. Zbl 1275.65080
Liang, Jian; Zhao, Hongkai
35
2013
Absorbing boundary conditions for domain decomposition. Zbl 0935.65135
Engquist, Bjorn; Zhao, Hong-Kai
33
1998
A direct imaging algorithm for extended targets. Zbl 1112.78014
Hou, Songming; Solna, Knut; Zhao, Hongkai
30
2006
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
29
2009
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
25
2013
A second order discontinuous Galerkin fast sweeping method for eikonal equations. Zbl 1151.65092
Li, Fengyan; Shu, Chi-Wang; Zhang, Yong-Tao; Zhao, Hongkai
24
2008
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
24
2018
Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions. Zbl 1022.65112
Gander, Martin J.; Zhao, Hongkai
23
2002
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
21
1998
Imaging of location and geometry for extended targets using the response matrix. Zbl 1054.65065
Hou, Songming; Solna, Knut; Zhao, Hongkai
19
2004
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
18
2013
Quantitative photoacoustic tomography. Zbl 1345.92087
Gao, Hao; Osher, Stanley; Zhao, Hongkai
16
2012
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
15
2011
A static PDE approach for multidimensional extrapolation using fast sweeping methods. Zbl 1315.65093
Aslam, Tariq; Luo, Songting; Zhao, Hongkai
15
2014
Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations. Zbl 1134.65076
Zhang, Yong-Tao; Zhao, Hong-Kai; Chen, Shanqin
13
2006
Analysis of the response matrix for an extended target. Zbl 1126.74417
Zhao, Hongkai
13
2004
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
13
2010
Instability of an inverse problem for the stationary radiative transport near the diffusion limit. Zbl 1431.65162
Zhao, Hongkai; Zhong, Yimin
13
2019
A compact upwind second order scheme for the eikonal equation. Zbl 1240.65233
Benamou, J.-D.; Luo, Songting; Zhao, Hongkai
12
2010
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
12
2017
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
Fast alternating bidirectional preconditioner for the 2D high-frequency Lippmann-Schwinger equation. Zbl 1352.65658
Zepeda-Núñez, Leonardo; Zhao, Hongkai
11
2016
Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082
Liu, Hongyu; Zhao, Hongkai; Zou, Changjian
11
2015
A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307
Leung, Shingyu; Zhao, Hongkai
11
2009
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 direct imaging method using far-field data. Zbl 1127.65031
Hou, Songming; Solna, Knut; Zhao, Hongkai
10
2007
Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. Zbl 1384.65008
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
10
2017
Analysis of a numerical solver for radiative transport equation. Zbl 1268.65165
Gao, Hao; Zhao, Hongkai
10
2013
Generalized Foldy-Lax formulation. Zbl 1192.78021
Huang, Kai; Solna, Knut; Zhao, Hongkai
10
2010
An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
9
2011
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
9
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
9
2015
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
9
2020
A new phase space method for recovering index of refraction from travel times. Zbl 1110.65065
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
8
2007
A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038
Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai
7
2014
Quantitative fluorescence photoacoustic tomography. Zbl 1280.49055
Ren, Kui; Zhao, Hongkai
7
2013
Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. Zbl 1417.65018
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
7
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
7
2018
An efficient algorithm for the generalized Foldy-Lax formulation. Zbl 1284.78014
Huang, Kai; Li, Peijun; Zhao, Hongkai
7
2013
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
Multiscale nonrigid point cloud registration using rotation-invariant sliced-Wasserstein distance via Laplace-Beltrami eigenmap. Zbl 1365.65246
Lai, Rongjie; Zhao, Hongkai
6
2017
A hybrid adaptive phase space method for reflection traveltime tomography. Zbl 1428.65038
Zhao, Hongkai; Zhong, Yimin
6
2019
Marchenko-Pastur law with relaxed independence conditions. Zbl 1523.60018
Bryson, Jennifer; Vershynin, Roman; Zhao, Hongkai
6
2021
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
5
2014
Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094
Luo, Songting; Zhao, Hongkai
5
2016
A direct imaging method for inverse scattering using the generalized Foldy-Lax formulation. Zbl 1335.78002
Bao, Gang; Huang, Kai; Li, Peijun; Zhao, Hongkai
5
2014
Coupled parabolic equations for wave propagation. Zbl 1090.65120
Huang, Kai; Solna, Knut; Zhao, Hongkai
4
2004
Efficient numerical simulation for long range wave propagation. Zbl 1090.76053
Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai
4
2006
Variational Hamiltonian Monte Carlo via score matching. Zbl 06989957
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
4
2018
Computation of quasi-conformal surface maps using discrete Beltrami flow. Zbl 1307.30050
Wong, Tsz Wai; Zhao, Hong-kai
4
2014
Modified virtual grid difference for discretizing the Laplace-Beltrami operator on point clouds. Zbl 1379.65083
Wang, Meng; Leung, Shingyu; Zhao, Hongkai
4
2018
Computing surface uniformization using discrete Beltrami flow. Zbl 1317.30064
Wong, Tsz Wai; Zhao, Hong-kai
3
2015
Solving phase retrieval via graph projection splitting. Zbl 1471.90118
Li, Ji; Zhao, Hongkai
3
2020
Absorbing boundary conditions for domain decomposition. Zbl 0952.65098
Engquist, Bjorn; Zhao, Hong-Kai
2
1998
Mathematics in image processing. Lecture notes from the Graduate Summer School Program, Park City, UT, USA, 2010. Zbl 1267.00028
2
2013
Real-time adaptive video compression. Zbl 1329.94014
Schaeffer, Hayden; Yang, Yi; Zhao, Hongkai; Osher, Stanley
2
2015
Intrinsic complexity and scaling laws: from random fields to random vectors. Zbl 1428.62206
Bryson, Jennifer; Zhao, Hongkai; Zhong, Yimin
2
2019
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
Expectation-maximization algorithm with local adaptivity. Zbl 1175.62068
Leung, Shingyu; Liang, Gang; Solna, Knut; Zhao, Hongkai
1
2009
Separability of the kernel function in an integral formulation for the anisotropic radiative transfer equation. Zbl 1475.45002
Ren, Kui; Zhao, Hongkai; Zhong, Yimin
1
2021
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. Zbl 1517.62030
Li, Sijing; Zhang, Cheng; Zhang, Zhiwen; Zhao, Hongkai
1
2023
A data-driven and model-based accelerated Hamiltonian Monte Carlo method for Bayesian elliptic inverse problems. Zbl 1517.62030
Li, Sijing; Zhang, Cheng; Zhang, Zhiwen; Zhao, Hongkai
1
2023
Marchenko-Pastur law with relaxed independence conditions. Zbl 1523.60018
Bryson, Jennifer; Vershynin, Roman; Zhao, Hongkai
6
2021
Separability of the kernel function in an integral formulation for the anisotropic radiative transfer equation. Zbl 1475.45002
Ren, Kui; Zhao, Hongkai; Zhong, Yimin
1
2021
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
9
2020
Solving phase retrieval via graph projection splitting. Zbl 1471.90118
Li, Ji; Zhao, Hongkai
3
2020
Instability of an inverse problem for the stationary radiative transport near the diffusion limit. Zbl 1431.65162
Zhao, Hongkai; Zhong, Yimin
13
2019
A hybrid adaptive phase space method for reflection traveltime tomography. Zbl 1428.65038
Zhao, Hongkai; Zhong, Yimin
6
2019
Intrinsic complexity and scaling laws: from random fields to random vectors. Zbl 1428.62206
Bryson, Jennifer; Zhao, Hongkai; Zhong, Yimin
2
2019
Approximate separability of the Green’s function of the Helmholtz equation in the high frequency limit. Zbl 1405.35022
Engquist, Björn; Zhao, Hongkai
24
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
7
2018
Variational Hamiltonian Monte Carlo via score matching. Zbl 06989957
Zhang, Cheng; Shahbaba, Babak; 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
4
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
12
2017
Hamiltonian Monte Carlo acceleration using surrogate functions with random bases. Zbl 1384.65008
Zhang, Cheng; Shahbaba, Babak; Zhao, Hongkai
10
2017
Precomputing strategy for Hamiltonian Monte Carlo method based on regularity in parameter space. Zbl 1417.65018
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
6
2017
Fast alternating bidirectional preconditioner for the 2D high-frequency Lippmann-Schwinger equation. Zbl 1352.65658
Zepeda-Núñez, Leonardo; Zhao, Hongkai
11
2016
Convergence analysis of the fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1356.35094
Luo, Songting; Zhao, Hongkai
5
2016
Determining scattering support of anisotropic acoustic mediums and obstacles. Zbl 1318.35082
Liu, Hongyu; Zhao, Hongkai; Zou, Changjian
11
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
9
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
Computing surface uniformization using discrete Beltrami flow. Zbl 1317.30064
Wong, Tsz Wai; Zhao, Hong-kai
3
2015
Real-time adaptive video compression. Zbl 1329.94014
Schaeffer, Hayden; Yang, Yi; Zhao, Hongkai; Osher, Stanley
2
2015
A static PDE approach for multidimensional extrapolation using fast sweeping methods. Zbl 1315.65093
Aslam, Tariq; Luo, Songting; Zhao, Hongkai
15
2014
A cell based particle method for modeling dynamic interfaces. Zbl 1349.82038
Hon, Sean Y.; Leung, Shingyu; Zhao, Hongkai
7
2014
Partially blind deblurring of barcode from out-of-focus blur. Zbl 1295.90114
Lou, Yifei; Esser, Ernie; Zhao, Hongkai; Xin, Jack
5
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
5
2014
Computation of quasi-conformal surface maps using discrete Beltrami flow. Zbl 1307.30050
Wong, Tsz Wai; Zhao, Hong-kai
4
2014
A weak formulation for solving elliptic interface problems without body fitted grid. Zbl 1314.65147
Hou, Songming; Song, Peng; Wang, Liqun; Zhao, Hongkai
48
2013
Solving partial differential equations on point clouds. Zbl 1275.65080
Liang, Jian; Zhao, Hongkai
35
2013
A local mesh method for solving PDEs on point clouds. Zbl 1273.65034
Lai, Rongjie; Liang, Jiang; Zhao, Hongkai
25
2013
A hybrid reconstruction method for quantitative PAT. Zbl 1280.49054
Ren, Kui; Gao, Hao; Zhao, Hongkai
18
2013
Analysis of a numerical solver for radiative transport equation. Zbl 1268.65165
Gao, Hao; Zhao, Hongkai
10
2013
Quantitative fluorescence photoacoustic tomography. Zbl 1280.49055
Ren, Kui; Zhao, Hongkai
7
2013
An efficient algorithm for the generalized Foldy-Lax formulation. Zbl 1284.78014
Huang, Kai; Li, Peijun; Zhao, Hongkai
7
2013
Mathematics in image processing. Lecture notes from the Graduate Summer School Program, Park City, UT, USA, 2010. Zbl 1267.00028
2
2013
Quantitative photoacoustic tomography. Zbl 1345.92087
Gao, Hao; Osher, Stanley; Zhao, Hongkai
16
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
40
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
36
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
15
2011
An adaptive phase space method with application to reflection traveltime tomography. Zbl 1284.86009
Chung, Eric; Qian, Jianliang; Uhlmann, Gunther; Zhao, Hongkai
9
2011
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
9
2011
Euclidean skeletons using closest points. Zbl 1213.94020
Luo, Songting; Guibas, Leonidas J.; Zhao, Hong-Kai
1
2011
An augmented method for free boundary problems with moving contact lines. Zbl 1242.76047
Li, Zhilin; Lai, Ming-Chih; He, Guowei; Zhao, Hongkai
13
2010
A compact upwind second order scheme for the eikonal equation. Zbl 1240.65233
Benamou, J.-D.; Luo, Songting; Zhao, Hongkai
12
2010
Gaussian beam summation for diffraction in inhomogeneous media based on the grid based particle method. Zbl 1364.78016
Leung, Shingyu; Zhao, Hongkai
11
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
40
2009
Fast sweeping method for the factored eikonal equation. Zbl 1175.65125
Fomel, Sergey; Luo, Songting; Zhao, Hongkai
36
2009
A fast-forward solver of radiative transfer equation. Zbl 1187.78028
Gao, Hao; Zhao, Hongkai
29
2009
A grid based particle method for evolution of open curves and surfaces. Zbl 1173.65307
Leung, Shingyu; Zhao, Hongkai
11
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
24
2008
Fast sweeping methods for eikonal equations on triangular meshes. Zbl 1149.65087
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
58
2007
A fast sweeping method for static convex Hamilton-Jacobi equations. Zbl 1115.70005
Qian, Jianliang; Zhang, Yong-Tao; Zhao, Hong-Kai
49
2007
A direct imaging method using far-field data. Zbl 1127.65031
Hou, Songming; Solna, Knut; Zhao, Hongkai
10
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
8
2007
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
91
2006
High order fast sweeping methods for static Hamilton-Jacobi equations. Zbl 1149.70302
Zhang, Yong-Tao; Zhao, Hong-Kai; Qian, Jianliang
79
2006
A direct imaging algorithm for extended targets. Zbl 1112.78014
Hou, Songming; Solna, Knut; Zhao, Hongkai
30
2006
Fixed-point iterative sweeping methods for static Hamilton-Jacobi equations. Zbl 1134.65076
Zhang, Yong-Tao; Zhao, Hong-Kai; Chen, Shanqin
13
2006
Efficient numerical simulation for long range wave propagation. Zbl 1090.76053
Huang, Kai; Papanicolaou, George; Solna, Knut; Tsogka, Chrysoula; Zhao, Hongkai
4
2006
A fast sweeping method for eikonal equations. Zbl 1070.65113
Zhao, Hongkai
233
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
19
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
4
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
128
2003
An Eulerian formulation for solving partial differential equations along a moving interface. Zbl 1081.76579
Xu, Jian-Jun; Zhao, Hong-Kai
93
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
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
64
2000
A PDE-based fast local level set method. Zbl 0964.76069
Peng, Danping; Merriman, Barry; Osher, Stanley; Zhao, Hongkai; Kang, Myungjoo
322
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
40
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
33
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
21
1998
Absorbing boundary conditions for domain decomposition. Zbl 0952.65098
Engquist, Bjorn; Zhao, Hong-Kai
2
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
120
1997
A variational level set approach to multiphase motion. Zbl 0860.65050
Zhao, Hong-Kai; Chan, T.; Merriman, B.; Osher, S.
216
1996
all top 5

Cited by 2,392 Authors

39 Qian, Jianliang
38 Zhao, Hongkai
35 Osher, Stanley Joel
27 Li, Zhilin
23 Leung, Shingyu
23 Tsai, Yen-Hsi Richard
20 Park, Won-Kwang
15 Lowengrub, John Samuel
14 Hou, Songming
14 Lai, Mingchih
13 Cheng, Li-Tien
13 Gibou, Frédéric
13 Mikula, Karol
13 Ren, Kui
13 Shi, Liwei
13 Wang, Michael Yu
12 Wang, Liqun
11 Frolkovič, Peter
11 Luo, Songting
11 Zhong, Yimin
10 Adams, Nikolaus A.
10 Burridge, Robert
10 Dehghan Takht Fooladi, Mehdi
10 Fedkiw, Ronald P.
10 Gander, Martin Jakob
10 Jiang, Yanqun
10 Kang, Myungjoo
10 Ruuth, Steven J.
10 Shu, Chi-Wang
10 Wei, Guowei
10 Zhang, Yongtao
9 Merriman, Barry
9 Zhao, Shan
8 Bao, Weizhu
8 Nürnberg, Robert
8 Sethian, James Albert
8 Tai, Xuecheng
8 Xu, Xianmin
7 Chung, Tsz Shun Eric
7 Falcone, Maurizio
7 Kao, Chiu-Yen
7 Laurain, Antoine
7 Lu, Wangtao
7 Salac, David
7 Sapiro, Guillermo
7 Udaykumar, Holavanahalli S.
7 Xia, Qi
7 Xu, Jianjun
6 Choi, Gary Pui-Tung
6 Cristiani, Emiliano
6 Dapogny, Charles
6 Deng, Xiaolong
6 Duan, Xianbao
6 Elliott, Charles M.
6 Esedoglu, Selim
6 Glowinski, Roland
6 Han, Weimin
6 Hu, Xiangyu Y.
6 Ji, Haifeng
6 Jin, Shi
6 Khoo, Boo Cheong
6 Kwak, Do Young
6 Lai, Rongjie
6 Lai, Ru-Yu
6 Li, Qin
6 Lui, Lok Ming
6 Nave, Jean-Christophe
6 Shi, Tielin
6 Shi, Zuoqiang
6 Sølna, Knut
6 Tornberg, Anna-Karin
6 Towers, John D.
6 Uhlmann, Gunther Alberto
6 Wang, Xiaoping
6 Yang, Xu
6 Ying, Wenjun
6 Zepeda-Núñez, Leonardo
6 Zhang, Zhiwen
6 Zhao, Quan
5 Ammari, Habib
5 Boulaaras, Salah Mahmoud
5 Chan, Tony Fan-Cheong
5 Chen, Jinru
5 Darbon, Jerome
5 Dolean, Victorita
5 Dong, Bin
5 Engquist, Bjorn E.
5 Feppon, Florian
5 Fu, Shubin
5 Gout, Christian
5 Han, Bo
5 Herrmann, Marcus
5 Jiang, Wei
5 Jiang, Yaolin
5 Kim, Junseok
5 Klibanov, Michael V.
5 Li, Wenbin
5 Liu, Chunxiao
5 Luo, Zhen
5 Min, Chohong
...and 2,292 more Authors
all top 5

Cited in 207 Serials

378 Journal of Computational Physics
101 Journal of Scientific Computing
63 Computer Methods in Applied Mechanics and Engineering
53 SIAM Journal on Scientific Computing
48 Computers and Fluids
42 Inverse Problems
41 Computers & Mathematics with Applications
34 Journal of Computational and Applied Mathematics
26 SIAM Journal on Imaging Sciences
25 Applied Numerical Mathematics
21 Inverse Problems and Imaging
20 Journal of Fluid Mechanics
20 Applied Mathematics and Computation
20 International Journal for Numerical Methods in Engineering
19 Mathematics of Computation
19 Applied Mathematical Modelling
19 Journal of Mathematical Imaging and Vision
17 Multiscale Modeling & Simulation
15 Communications in Computational Physics
14 SIAM Journal on Numerical Analysis
14 SIAM Journal on Applied Mathematics
12 SIAM Journal on Mathematical Analysis
11 Numerical Algorithms
11 International Journal of Computer Mathematics
10 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Numerische Mathematik
9 Computational Geosciences
9 Advances in Applied Mathematics and Mechanics
9 Research in the Mathematical Sciences
8 Computational Mechanics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Advances in Computational Mathematics
8 Computing and Visualization in Science
7 International Journal for Numerical Methods in Fluids
7 Physica A
7 Computer Aided Geometric Design
7 Applied Mathematics Letters
6 Numerical Methods for Partial Differential Equations
6 International Journal of Computer Vision
6 Journal of Inverse and Ill-Posed Problems
6 Mathematical Problems in Engineering
6 International Journal of Computational Fluid Dynamics
5 Computer Physics Communications
5 Journal of Mathematical Analysis and Applications
5 Journal of Mathematical Biology
5 International Journal of Computational Methods
5 Inverse Problems in Science and Engineering
5 Discrete and Continuous Dynamical Systems. Series S
4 Wave Motion
4 Journal of Optimization Theory and Applications
4 Mathematics and Computers in Simulation
4 Physics of Fluids
4 Combustion Theory and Modelling
4 Archives of Computational Methods in Engineering
4 Structural and Multidisciplinary Optimization
4 Computational & Mathematical Methods in Medicine
4 Statistics and Computing
3 Calculus of Variations and Partial Differential Equations
3 Applied and Computational Harmonic Analysis
3 Computational and Applied Mathematics
3 Interfaces and Free Boundaries
3 Discrete and Continuous Dynamical Systems. Series B
3 Acta Mathematica Scientia. Series B. (English Edition)
3 Communications on Pure and Applied Analysis
3 Acta Numerica
3 Mathematical Geosciences
3 GEM - International Journal on Geomathematics
3 SIAM/ASA Journal on Uncertainty Quantification
3 Communications on Applied Mathematics and Computation
2 Archive for Rational Mechanics and Analysis
2 Communications on Pure and Applied Mathematics
2 International Journal of Control
2 Mathematical Methods in the Applied Sciences
2 Theory of Probability and its Applications
2 Information Sciences
2 Journal of Differential Equations
2 Kybernetika
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 Journal of Computational Mathematics
2 Acta Mathematicae Applicatae Sinica. English Series
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 Pattern Recognition
2 Test
2 Applied Mathematics. Series B (English Edition)
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 International Journal of Nonlinear Sciences and Numerical Simulation
2 Mathematical Modelling and Analysis
2 Sādhanā
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Boletim da Sociedade Paranaense de Matemática. Terceira Série
2 Boundary Value Problems
2 Waves in Random and Complex Media
2 GAMM-Mitteilungen
2 Numerical Mathematics: Theory, Methods and Applications
...and 107 more Serials
all top 5

Cited in 40 Fields

946 Numerical analysis (65-XX)
519 Partial differential equations (35-XX)
466 Fluid mechanics (76-XX)
167 Mechanics of deformable solids (74-XX)
136 Calculus of variations and optimal control; optimization (49-XX)
114 Biology and other natural sciences (92-XX)
111 Optics, electromagnetic theory (78-XX)
103 Computer science (68-XX)
85 Information and communication theory, circuits (94-XX)
51 Classical thermodynamics, heat transfer (80-XX)
47 Statistical mechanics, structure of matter (82-XX)
43 Operations research, mathematical programming (90-XX)
34 Geophysics (86-XX)
29 Statistics (62-XX)
25 Global analysis, analysis on manifolds (58-XX)
25 Probability theory and stochastic processes (60-XX)
19 Differential geometry (53-XX)
17 Integral equations (45-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
15 Quantum theory (81-XX)
15 Systems theory; control (93-XX)
11 Ordinary differential equations (34-XX)
11 Dynamical systems and ergodic theory (37-XX)
11 Approximations and expansions (41-XX)
11 Mechanics of particles and systems (70-XX)
10 Operator theory (47-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Integral transforms, operational calculus (44-XX)
7 Astronomy and astrophysics (85-XX)
6 Functional analysis (46-XX)
5 Special functions (33-XX)
4 Functions of a complex variable (30-XX)
4 Convex and discrete geometry (52-XX)
2 General and overarching topics; collections (00-XX)
2 Real functions (26-XX)
2 Potential theory (31-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
1 Combinatorics (05-XX)
1 Difference and functional equations (39-XX)
1 Manifolds and cell complexes (57-XX)

Citations by Year