# zbMATH — the first resource for mathematics

## Ju, Lili

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 Author ID: ju.lili Published as: Ju, Lili; Ju, L. External Links: MGP
 Documents Indexed: 80 Publications since 1998
all top 5

#### Co-Authors

 1 single-authored 23 Du, Qiang 17 Gunzburger, Max D. 9 Zhao, Weidong 7 Leng, Wei 7 Li, Xiao 7 Tian, Li 5 Hoang, Thi-Thao-Phuong 5 Wang, Xiaoqiang 5 Wang, Zhu 5 Zhang, Xiaoping 4 Qiao, Zhonghua 4 Tian, Hao 3 Gao, Huadong 3 Lu, Jianfang 3 Wang, Desheng 3 Zhu, Liyong 2 Burkardt, John V. 2 Duddu, Ravindra 2 Emelianenko, Maria 2 Feng, Hui 2 Feng, Xinlong 2 Gao, Yan 2 Hou, L. Steven 2 Huang, Jianguo 2 Li, Hongwei 2 Li, Jingwei 2 Wang, Yu 2 Wu, Bo 2 Yang, Xiaofeng 2 Zhang, Wei 2 Zhou, Youjie 1 Cai, Yongyong 1 Cao, Yu 1 Cui, Tao 1 Duo, Siwei 1 Fan, Xiaochuan 1 Lee, Hyung-Chun 1 Li, Shujie 1 Li, Yang 1 Liu, Xinfeng 1 Luo, Lishi 1 Peng, Qiujin 1 Pieper, Konstantin 1 Rand, Alexander 1 Ringler, Todd D. 1 Saka, Yuki 1 Tian, Xiaochuan 1 Wu, Jiming 1 Wu, Wensong 1 Xiao, Xiao 1 Xie, Wen 1 Xie, Yan 1 Yang, Huanhuan 1 Yuan, Shuai 1 Zhang, Chenfei 1 Zhang, Guannan 1 Zhang, Huai 1 Zhang, Linbo 1 Zhang, Yanzhi 1 Zhou, Kun
all top 5

#### Serials

 12 Journal of Computational Physics 10 Computer Methods in Applied Mechanics and Engineering 7 Journal of Scientific Computing 5 Mathematics of Computation 5 SIAM Journal on Numerical Analysis 4 Computers & Mathematics with Applications 4 SIAM Journal on Scientific Computing 4 IEEE Transactions on Image Processing 4 International Journal of Numerical Analysis and Modeling 3 Discrete and Continuous Dynamical Systems. Series B 3 Numerical Mathematics: Theory, Methods and Applications 2 Communications in Computational Physics 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Journal of Mathematical Analysis and Applications 1 Applied Mathematics and Computation 1 BIT 1 Journal of Computational and Applied Mathematics 1 Parallel Computing 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 Computational Geometry 1 SIAM Review 1 Chinese Journal of Numerical Mathematics and Applications 1 Communications in Mathematical Sciences 1 East Asian Journal on Applied Mathematics 1 Communications on Applied Mathematics and Computation
all top 5

#### Fields

 68 Numerical analysis (65-XX) 29 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 6 Integral equations (45-XX) 6 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

62 Publications have been cited 639 times in 384 Documents Cited by Year
Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
2015
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Zbl 1327.65101
Du, Qiang; Ju, Lili; Tian, Li; Zhou, Kun
2013
Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. Zbl 1115.65017
Du, Qiang; Emelianenko, Maria; Ju, Lili
2006
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. Zbl 1419.65018
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2019
Finite element approximation of the Cahn-Hilliard equation on surfaces. Zbl 1230.80010
Du, Qiang; Ju, Lili; Tian, Li
2011
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202
Ju, Lili; Du, Qiang; Gunzburger, Max
2002
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. Zbl 1395.65099
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2018
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. Zbl 1448.65182
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Zhang, Hui
2018
A stable multistep scheme for solving backward stochastic differential equations. Zbl 1234.60068
Zhao, Weidong; Zhang, Guannan; Ju, Lili
2010
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. Zbl 1126.65099
Ju, Lili; Gunzburger, Max; Zhao, Weidong
2006
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. Zbl 1349.92015
Wang, Xiaoqiang; Ju, Lili; Du, Qiang
2016
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations. Zbl 1221.65293
Du, Qiang; Ju, Lili
2005
Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations. Zbl 1342.65187
Zhu, Liyong; Ju, Lili; Zhao, Weidong
2016
Meshfree, probabilistic determination of point sets and support regions for meshless computing. Zbl 0993.65009
Du, Qiang; Gunzburger, Max; Ju, Lili
2002
Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model. Zbl 1439.74165
Yang, Xiaofeng; Ju, Lili
2017
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model. Zbl 1439.76029
Yang, Xiaofeng; Ju, Lili
2017
Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state. Zbl 1398.65305
Li, Hongwei; Ju, Lili; Zhang, Chenfei; Peng, Qiujin
2018
Nonlocal convection-diffusion problems and finite element approximations. Zbl 1423.74925
Tian, Hao; Ju, Lili; Du, Qiang
2015
Numerical simulations of the quantized vortices on a thin superconducting hollow sphere. Zbl 1076.82549
Du, Qiang; Ju, Lili
2004
Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations. Zbl 1304.65190
Ju, Lili; Liu, Xinfeng; Leng, Wei
2014
A numerical method and its error estimates for the decoupled forward-backward stochastic differential equations. Zbl 06799394
Zhao, Weidong; Zhang, Wei; Ju, Lili
2014
Finite volume methods on spheres and spherical centroidal Voronoi meshes. Zbl 1099.65107
Du, Qiang; Ju, Lili
2005
Nguyen, Hoa; Gunzburger, Max; Ju, Lili; Burkardt, John
2009
An edge-weighted centroidal Voronoi tessellation model for image segmentation. Zbl 1371.94399
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2009
Constrained CVT meshes and a comparison of triangular mesh generators. Zbl 1152.65035
Nguyen, Hoa; Burkardt, John; Gunzburger, Max; Ju, Lili; Saka, Yuki
2009
A finite volume method on general surfaces and its error estimates. Zbl 1160.65340
Ju, Lili; Du, Qiang
2009
Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation. Zbl 1132.65012
Ju, Lili
2007
Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces. Zbl 1166.65057
Du, Qiang; Ju, Lili; Tian, Li
2009
Error estimates of the Crank-Nicolson scheme for solving backward stochastic differential equations. Zbl 1281.65016
Zhao, Weidong; Li, Yang; Ju, Lili
2013
Nondegeneracy and weak global convergence of the Lloyd algorithm in $$\mathbb{R}^D$$. Zbl 1171.65012
Emelianenko, Maria; Ju, Lili; Rand, Alexander
2008
A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces. Zbl 1229.65192
Ju, Lili; Tian, Li; Wang, Desheng
2009
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
2016
Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Zbl 1405.65118
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
An exponential time-integrator scheme for steady and unsteady inviscid flows. Zbl 1395.76060
Li, Shu-Jie; Luo, Li-Shi; Wang, Z. J.; Ju, Lili
2018
Coupled models and parallel simulations for three-dimensional full-Stokes ice sheet modeling. Zbl 1265.76046
Zhang, Huai; Ju, Lili; Gunzburger, Max; Ringler, Todd; Price, Stephen
2011
Adaptive finite volume methods for steady convection-diffusion equations with mesh optimization. Zbl 1165.65077
Ju, Lili; Wu, Wensong; Zhao, Weidong
2009
A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization. Zbl 1439.65134
Tian, Hao; Ju, Lili; Du, Qiang
2017
Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. Zbl 1419.65058
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
A fast algorithm for solving the space-time fractional diffusion equation. Zbl 1409.65053
Duo, Siwei; Ju, Lili; Zhang, Yanzhi
2018
A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions. Zbl 1414.65028
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
An additive overlapping domain decomposition method for the Helmholtz equation. Zbl 1416.65501
Leng, Wei; Ju, Lili
2019
An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems. Zbl 1405.65158
Zhang, Xiaoping; Wu, Jiming; Ju, Lili
2018
Approximation of exact boundary controllability problems for the 1-D wave equation by optimization-based method. Zbl 1036.65056
Ju, Lili; Gunzburger, Max D.; Hou, L. Steven
2003
Convergence analysis of a splitting method for stochastic differential equations. Zbl 1163.65004
Zhao, Weidong; Tian, Li; Ju, Lili
2008
Image segmentation using local variation and edge-weighted centroidal Voronoi tessellations. Zbl 1372.94260
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2011
Generalized edge-weighted centroidal Voronoi tessellations for geometry processing. Zbl 1268.65029
Wang, Yu; Ju, Lili; Wang, Desheng; Wang, Xiaoqiang
2012
A numerical method for exact boundary controllability problems for the wave equation. Zbl 1248.93026
Gunzburger, M.; Hou, L. S.; Ju, L.
2006
Covolume-upwind finite volume approximations for linear elliptic partial differential equations. Zbl 1277.76052
Ju, Lili; Tian, Li; Xiao, Xiao; Zhao, Weidong
2012
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. Zbl 1351.86030
Leng, Wei; Ju, Lili; Xie, Yan; Cui, Tao; Gunzburger, Max
2014
Overlapping localized exponential time differencing methods for diffusion problems. Zbl 1410.65361
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2019
A fast compact time integrator method for a family of general order semilinear evolution equations. Zbl 1452.65161
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
A parallel computational model for three-dimensional, thermo-mechanical Stokes flow simulations of glaciers and ice sheets. Zbl 1373.86004
Leng, Wei; Ju, Lili; Gunzburger, Max; Price, Stephen
2014
A variational phase field method for curve smoothing. Zbl 1185.65023
Zhu, Liyong; Wang, Yu; Ju, Lili; Wang, Desheng
2010
Nonoverlapping localized exponential time differencing methods for diffusion problems. Zbl 1431.65063
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2020
Numerical investigation of ensemble methods with block iterative solvers for evolution problems. Zbl 07349949
Ju, Lili; Leng, Wei; Wang, Zhu; Yuan, Shuai
2020
An efficient second-order linear scheme for the phase field model of corrosive dissolution. Zbl 1428.65006
Gao, Huadong; Ju, Lili; Duddu, Ravindra; Li, Hongwei
2020
Conservative explicit local time-stepping schemes for the shallow water equations. Zbl 1451.65133
Hoang, Thi-Thao-Phuong; Leng, Wei; Ju, Lili; Wang, Zhu; Pieper, Konstantin
2019
Nonoverlapping localized exponential time differencing methods for diffusion problems. Zbl 1431.65063
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2020
Numerical investigation of ensemble methods with block iterative solvers for evolution problems. Zbl 07349949
Ju, Lili; Leng, Wei; Wang, Zhu; Yuan, Shuai
2020
An efficient second-order linear scheme for the phase field model of corrosive dissolution. Zbl 1428.65006
Gao, Huadong; Ju, Lili; Duddu, Ravindra; Li, Hongwei
2020
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. Zbl 1419.65018
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2019
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Zbl 1405.65118
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
Analysis of fully discrete approximations for dissipative systems and application to time-dependent nonlocal diffusion problems. Zbl 1419.65058
Du, Qiang; Ju, Lili; Lu, Jianfang
2019
A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions. Zbl 1414.65028
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
An additive overlapping domain decomposition method for the Helmholtz equation. Zbl 1416.65501
Leng, Wei; Ju, Lili
2019
Overlapping localized exponential time differencing methods for diffusion problems. Zbl 1410.65361
Hoang, Thi-Thao-Phuong; Ju, Lili; Wang, Zhu
2019
A fast compact time integrator method for a family of general order semilinear evolution equations. Zbl 1452.65161
Huang, Jianguo; Ju, Lili; Wu, Bo
2019
Conservative explicit local time-stepping schemes for the shallow water equations. Zbl 1451.65133
Hoang, Thi-Thao-Phuong; Leng, Wei; Ju, Lili; Wang, Zhu; Pieper, Konstantin
2019
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. Zbl 1395.65099
Du, Qiang; Ju, Lili; Li, Xiao; Qiao, Zhonghua
2018
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. Zbl 1448.65182
Ju, Lili; Li, Xiao; Qiao, Zhonghua; Zhang, Hui
2018
Unconditionally energy stable linear schemes for the diffuse interface model with Peng-Robinson equation of state. Zbl 1398.65305
Li, Hongwei; Ju, Lili; Zhang, Chenfei; Peng, Qiujin
2018
An exponential time-integrator scheme for steady and unsteady inviscid flows. Zbl 1395.76060
Li, Shu-Jie; Luo, Li-Shi; Wang, Z. J.; Ju, Lili
2018
A fast algorithm for solving the space-time fractional diffusion equation. Zbl 1409.65053
Duo, Siwei; Ju, Lili; Zhang, Yanzhi
2018
An accurate and asymptotically compatible collocation scheme for nonlocal diffusion problems. Zbl 1405.65158
Zhang, Xiaoping; Wu, Jiming; Ju, Lili
2018
Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model. Zbl 1439.74165
Yang, Xiaofeng; Ju, Lili
2017
Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model. Zbl 1439.76029
Yang, Xiaofeng; Ju, Lili
2017
A conservative nonlocal convection-diffusion model and asymptotically compatible finite difference discretization. Zbl 1439.65134
Tian, Hao; Ju, Lili; Du, Qiang
2017
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. Zbl 1349.92015
Wang, Xiaoqiang; Ju, Lili; Du, Qiang
2016
Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations. Zbl 1342.65187
Zhu, Liyong; Ju, Lili; Zhao, Weidong
2016
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
2016
Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
Fast explicit integration factor methods for semilinear parabolic equations. Zbl 1317.65172
Ju, Lili; Zhang, Jian; Zhu, Liyong; Du, Qiang
2015
Nonlocal convection-diffusion problems and finite element approximations. Zbl 1423.74925
Tian, Hao; Ju, Lili; Du, Qiang
2015
Compact implicit integration factor methods for a family of semilinear fourth-order parabolic equations. Zbl 1304.65190
Ju, Lili; Liu, Xinfeng; Leng, Wei
2014
A numerical method and its error estimates for the decoupled forward-backward stochastic differential equations. Zbl 06799394
Zhao, Weidong; Zhang, Wei; Ju, Lili
2014
Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. Zbl 1351.86030
Leng, Wei; Ju, Lili; Xie, Yan; Cui, Tao; Gunzburger, Max
2014
A parallel computational model for three-dimensional, thermo-mechanical Stokes flow simulations of glaciers and ice sheets. Zbl 1373.86004
Leng, Wei; Ju, Lili; Gunzburger, Max; Price, Stephen
2014
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Zbl 1327.65101
Du, Qiang; Ju, Lili; Tian, Li; Zhou, Kun
2013
Error estimates of the Crank-Nicolson scheme for solving backward stochastic differential equations. Zbl 1281.65016
Zhao, Weidong; Li, Yang; Ju, Lili
2013
Generalized edge-weighted centroidal Voronoi tessellations for geometry processing. Zbl 1268.65029
Wang, Yu; Ju, Lili; Wang, Desheng; Wang, Xiaoqiang
2012
Covolume-upwind finite volume approximations for linear elliptic partial differential equations. Zbl 1277.76052
Ju, Lili; Tian, Li; Xiao, Xiao; Zhao, Weidong
2012
Finite element approximation of the Cahn-Hilliard equation on surfaces. Zbl 1230.80010
Du, Qiang; Ju, Lili; Tian, Li
2011
Coupled models and parallel simulations for three-dimensional full-Stokes ice sheet modeling. Zbl 1265.76046
Zhang, Huai; Ju, Lili; Gunzburger, Max; Ringler, Todd; Price, Stephen
2011
Image segmentation using local variation and edge-weighted centroidal Voronoi tessellations. Zbl 1372.94260
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2011
A stable multistep scheme for solving backward stochastic differential equations. Zbl 1234.60068
Zhao, Weidong; Zhang, Guannan; Ju, Lili
2010
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
A variational phase field method for curve smoothing. Zbl 1185.65023
Zhu, Liyong; Wang, Yu; Ju, Lili; Wang, Desheng
2010
Nguyen, Hoa; Gunzburger, Max; Ju, Lili; Burkardt, John
2009
An edge-weighted centroidal Voronoi tessellation model for image segmentation. Zbl 1371.94399
Wang, Jie; Ju, Lili; Wang, Xiaoqiang
2009
Constrained CVT meshes and a comparison of triangular mesh generators. Zbl 1152.65035
Nguyen, Hoa; Burkardt, John; Gunzburger, Max; Ju, Lili; Saka, Yuki
2009
A finite volume method on general surfaces and its error estimates. Zbl 1160.65340
Ju, Lili; Du, Qiang
2009
Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces. Zbl 1166.65057
Du, Qiang; Ju, Lili; Tian, Li
2009
A posteriori error estimates for finite volume approximations of elliptic equations on general surfaces. Zbl 1229.65192
Ju, Lili; Tian, Li; Wang, Desheng
2009
Adaptive finite volume methods for steady convection-diffusion equations with mesh optimization. Zbl 1165.65077
Ju, Lili; Wu, Wensong; Zhao, Weidong
2009
Nondegeneracy and weak global convergence of the Lloyd algorithm in $$\mathbb{R}^D$$. Zbl 1171.65012
Emelianenko, Maria; Ju, Lili; Rand, Alexander
2008
Convergence analysis of a splitting method for stochastic differential equations. Zbl 1163.65004
Zhao, Weidong; Tian, Li; Ju, Lili
2008
Conforming centroidal Voronoi Delaunay triangulation for quality mesh generation. Zbl 1132.65012
Ju, Lili
2007
Convergence of the Lloyd algorithm for computing centroidal Voronoi tessellations. Zbl 1115.65017
Du, Qiang; Emelianenko, Maria; Ju, Lili
2006
Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. Zbl 1126.65099
Ju, Lili; Gunzburger, Max; Zhao, Weidong
2006
A numerical method for exact boundary controllability problems for the wave equation. Zbl 1248.93026
Gunzburger, M.; Hou, L. S.; Ju, L.
2006
Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations. Zbl 1221.65293
Du, Qiang; Ju, Lili
2005
Finite volume methods on spheres and spherical centroidal Voronoi meshes. Zbl 1099.65107
Du, Qiang; Ju, Lili
2005
Numerical simulations of the quantized vortices on a thin superconducting hollow sphere. Zbl 1076.82549
Du, Qiang; Ju, Lili
2004
Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
Approximation of exact boundary controllability problems for the 1-D wave equation by optimization-based method. Zbl 1036.65056
Ju, Lili; Gunzburger, Max D.; Hou, L. Steven
2003
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202
Ju, Lili; Du, Qiang; Gunzburger, Max
2002
Meshfree, probabilistic determination of point sets and support regions for meshless computing. Zbl 0993.65009
Du, Qiang; Gunzburger, Max; Ju, Lili
2002
all top 5

#### Cited by 616 Authors

 47 Ju, Lili 36 Du, Qiang 22 Gunzburger, Max D. 19 Zhao, Weidong 12 Yang, Xiaofeng 9 Wang, Cheng 8 Feng, Xinlong 8 Li, Xiao 8 Wang, Desheng 7 Qiao, Zhonghua 7 Tian, Xiaochuan 6 Gong, Yuezheng 5 Burkardt, John V. 5 Chen, Wenbin 5 Dehghan Takht Fooladi, Mehdi 5 Fu, Yu 5 Huang, Yunqing 5 Kim, Junseok 5 Kou, Jisheng 5 Li, Yibao 5 Shen, Jie 5 Tian, Li 5 Wang, Qi 5 Yang, Jiang 5 Zhou, Tao 4 Hoang, Thi-Thao-Phuong 4 Leng, Wei 4 Li, Buyang 4 Li, Weijia 4 Liu, Zhengguang 4 Nie, Yufeng 4 Sun, Shuyu 4 Tian, Hao 4 Wang, Xiaoqiang 4 Wang, Xiuhua 4 Xiao, Xufeng 4 Zhang, Zhiyue 4 Zhu, Liyong 3 Abbaszadeh, Mostafa 3 Cheng, Qing 3 D’Elia, Marta 3 Elliott, Charles M. 3 Gao, Huadong 3 Jing, Xiaobo 3 Leiderman, Karin M. 3 Li, Xiaoli 3 Littlewood, David J. 3 Liu, Xinfeng 3 Lu, Jianfang 3 Mei, Liquan 3 Rabczuk, Timon 3 Seleson, Pablo 3 Teng, Long 3 Wang, Xiaoming 3 Wang, Zhu 3 Wise, Steven M. 3 Yang, Junxiang 3 Yin, Xiaobo 3 Zhang, Weiwei 3 Zhang, Xiaoping 3 Zhang, Yongtao 3 Zhao, Jia 3 Zhou, Zhi 2 Adams, Nikolaus A. 2 Aksoylu, Burak 2 Bao, Feng 2 Cao, Yanzhao 2 Celiker, Fatih 2 Chen, An 2 Chen, Chuanjun 2 Chen, Long 2 Chen, Qingshan 2 Chen, Zhangxin 2 Chenavier, Nicolas 2 Cheng, Kelong 2 Choksi, Rustum 2 Contreras, Andres A. 2 Cortez, Ricardo 2 Dedner, Andreas S. 2 Duddu, Ravindra 2 Foster, John T. jun. 2 Frittelli, Massimo 2 Fu, Lin 2 Guan, Zhihong 2 Han, Daozhi 2 He, Ruijian 2 Heitzinger, Clemens 2 Hong, Qi 2 Hong, Youngjoon 2 Hu, Kangkang 2 Hu, Xiangyu Y. 2 Huang, Jianguo 2 Jeong, Darae 2 Jiang, Nan 2 Jung, Changyeol 2 Khodadadian, Amirreza 2 Lee, Hyung-Chun 2 Lehoucq, Richard B. 2 Leng, Yu 2 Li, Hongwei ...and 516 more Authors
all top 5

#### Cited in 89 Serials

 43 Journal of Scientific Computing 40 Journal of Computational Physics 35 Computer Methods in Applied Mechanics and Engineering 21 Computers & Mathematics with Applications 17 Journal of Computational and Applied Mathematics 16 SIAM Journal on Numerical Analysis 16 Applied Numerical Mathematics 16 SIAM Journal on Scientific Computing 10 Applied Mathematics and Computation 8 Mathematics of Computation 8 Numerical Methods for Partial Differential Equations 7 Numerical Algorithms 6 Numerische Mathematik 6 Computer Aided Geometric Design 5 Mathematics and Computers in Simulation 5 Applied Mathematics Letters 5 Science China. Mathematics 4 Engineering Analysis with Boundary Elements 4 Discrete and Continuous Dynamical Systems. Series B 4 Multiscale Modeling & Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 East Asian Journal on Applied Mathematics 3 Journal of the Franklin Institute 3 Journal of Mathematical Analysis and Applications 3 Calcolo 3 International Journal for Numerical Methods in Engineering 3 SIAM Review 3 Advances in Computational Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications on Applied Mathematics and Computation 2 Computers and Fluids 2 Journal of Mathematical Physics 2 SIAM Journal on Control and Optimization 2 Computational Mechanics 2 Applied Mathematical Modelling 2 Journal of Mathematical Imaging and Vision 2 Computational and Applied Mathematics 2 Fractional Calculus & Applied Analysis 2 Research in the Mathematical Sciences 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Discrete Applied Mathematics 1 International Journal for Numerical Methods in Fluids 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Methods in the Applied Sciences 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 Applied Mathematics and Optimization 1 Automatica 1 BIT 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Neural Networks 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 Computational Statistics 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Pattern Recognition 1 SIAM Journal on Applied Mathematics 1 Stochastic Processes and their Applications 1 Computational Statistics and Data Analysis 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 International Journal of Computer Vision 1 Monte Carlo Methods and Applications 1 Applied Mathematical Finance 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Mathematical Methods of Operations Research 1 Extremes 1 Computational Geosciences 1 Journal of Applied Mathematics 1 Milan Journal of Mathematics 1 Structural and Multidisciplinary Optimization 1 Acta Numerica 1 Frontiers of Mathematics in China 1 Computational & Mathematical Methods in Medicine 1 Inverse Problems and Imaging 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 East Asian Mathematical Journal 1 Journal of Spectral Theory 1 Mathematics 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Function Spaces 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
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#### Cited in 34 Fields

 305 Numerical analysis (65-XX) 151 Partial differential equations (35-XX) 73 Fluid mechanics (76-XX) 43 Mechanics of deformable solids (74-XX) 32 Probability theory and stochastic processes (60-XX) 25 Statistical mechanics, structure of matter (82-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 16 Integral equations (45-XX) 16 Computer science (68-XX) 13 Systems theory; control (93-XX) 11 Geophysics (86-XX) 9 Statistics (62-XX) 8 Ordinary differential equations (34-XX) 8 Biology and other natural sciences (92-XX) 8 Information and communication theory, circuits (94-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Functional analysis (46-XX) 5 Convex and discrete geometry (52-XX) 5 Optics, electromagnetic theory (78-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Differential geometry (53-XX) 4 Quantum theory (81-XX) 3 Operator theory (47-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Potential theory (31-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)