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Author ID: zhu.shengfeng Recent zbMATH articles by "Zhu, Shengfeng"
Published as: Zhu, Shengfeng; Zhu, Sheng-Feng

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 356 times in 206 Documents Cited by Year
Inhomogeneous Dirichlet boundary-value problems of space-fractional diffusion equations and their finite element approximations. Zbl 1320.65182
Wang, Hong; Yang, Danping; Zhu, Shengfeng
55
2014
A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations. Zbl 1425.65183
Wang, Hong; Yang, Danping; Zhu, Shengfeng
33
2015
Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives. Zbl 1453.65400
Zhu, Shengfeng
21
2018
Accuracy of finite element methods for boundary-value problems of steady-state fractional diffusion equations. Zbl 1359.65271
Wang, Hong; Yang, Danping; Zhu, Shengfeng
20
2017
Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation. Zbl 1440.76093
Zhu, Shengfeng; Gao, Zhiming
17
2019
Variational piecewise constant level set methods for shape optimization of a two-density drum. Zbl 1194.65087
Zhu, Shengfeng; Wu, Qingbiao; Liu, Chunxiao
16
2010
A multi-mesh finite element method for phase-field based photonic band structure optimization. Zbl 1382.65331
Wu, Shengyang; Hu, Xianliang; Zhu, Shengfeng
13
2018
Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation. Zbl 1381.65086
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio
12
2017
Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization. Zbl 1446.65154
Zhu, Shengfeng; Hu, Xianliang; Liao, Qifeng
11
2020
A semi-implicit binary level set method for source reconstruction problems. Zbl 1263.65061
Liu, Chunxiao; Zhu, Shengfeng
11
2011
Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum. Zbl 1231.74368
Zhu, Shengfeng; Liu, Chunxiao; Wu, Qingbiao
10
2010
A level set method for shape optimization in semilinear elliptic problems. Zbl 1380.49063
Zhu, Shengfeng; Hu, Xianliang; Wu, Qingbiao
10
2018
On discrete shape gradients of boundary type for PDE-constrained shape optimization. Zbl 1466.49035
Gong, Wei; Zhu, Shengfeng
10
2021
The time-dependent generalized membrane shell model and its numerical computation. Zbl 1440.74212
Shen, Xiaoqin; Jia, Junjun; Zhu, Shengfeng; Li, Haoming; Bai, Lin; Wang, Tiantian; Cao, Xiaoshan
10
2019
Isogeometric analysis and proper orthogonal decomposition for parabolic problems. Zbl 1380.65295
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio
9
2017
Shape identification in Stokes flow with distributed shape gradients. Zbl 1448.76070
Li, Jiajie; Zhu, Shengfeng
9
2019
Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method. Zbl 1213.65098
Zhu, Shengfeng; Wu, Qingbiao; Liu, Chunxiao
8
2011
An adaptive algorithm for the Thomas-Fermi equation. Zbl 1236.65094
Zhu, Shengfeng; Zhu, Hancan; Wu, Qingbiao; Khan, Yasir
8
2012
Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094
Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang
8
2009
Laguerre pseudospectral approximation to the Thomas-Fermi equation. Zbl 1316.34026
Liu, Chunxiao; Zhu, Shengfeng
7
2015
New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252
Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng
7
2011
Isogeometric analysis for time-fractional partial differential equations. Zbl 1450.65123
Hu, Xindi; Zhu, Shengfeng
6
2020
Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems. Zbl 1452.76094
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng
5
2019
Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations. Zbl 1418.65097
Dai, Ping-fei; Wu, Qing-Biao; Zhu, Sheng-Feng
5
2019
A variational binary level-set method for elliptic shape optimization problems. Zbl 1246.65097
Zhu, Shengfeng; Dai, Xiaoxia; Liu, Chunxiao
4
2011
On accuracy of approximate boundary and distributed \(H^1\) shape gradient flows for eigenvalue optimization. Zbl 1477.65183
Zhu, Shengfeng; Hu, Xianliang; Wu, Qingbiao
4
2020
On geometric inverse problems in time-fractional subdiffusion. Zbl 1501.35437
Hu, Xindi; Zhu, Shengfeng
4
2022
On a high-order Gaussian radial basis function generated Hermite finite difference method and its application. Zbl 07444708
Soleymani, Fazlollah; Zhu, Shengfeng
3
2021
Finite element method coupling penalty method for flexural shell model. Zbl 1499.65681
Shen, Xiaoqin; Xue, Yongjie; Yang, Qian; Zhu, Shengfeng
3
2022
RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function. Zbl 1524.91150
Soleymani, Fazlollah; Zhu, Shengfeng
3
2021
A two-grid binary level set method for eigenvalue optimization. Zbl 1479.74138
Zhang, Jing; Zhu, Shengfeng; Liu, Chunxiao; Shen, Xiaoqin
2
2021
A level set method for Laplacian eigenvalue optimization subject to geometric constraints. Zbl 1493.90192
Qian, Meizhi; Zhu, Shengfeng
2
2022
Shape optimization of Navier-Stokes flows by a two-grid method. Zbl 1507.49038
Li, Jiajie; Zhu, Shengfeng
2
2022
Error and stability estimates of a time-fractional option pricing model under fully spatial-temporal graded meshes. Zbl 07700264
Soleymani, Fazlollah; Zhu, Shengfeng
2
2023
A convex relaxation method for computing exact global solutions for multiplicative noise removal. Zbl 1254.65037
Liu, Chunxiao; Zhu, Shengfeng
1
2013
Isogeometric analysis with proper orthogonal decomposition for elastodynamics. Zbl 1528.65076
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng
1
2021
On distributed \(H^1\) shape gradient flows in optimal shape design of Stokes flows: convergence analysis and numerical applications. Zbl 1499.49099
Li, Jiajie; Zhu, Shengfeng
1
2022
Improved discrete boundary type shape gradients for PDE-constrained shape optimization. Zbl 1495.49026
Gong, Wei; Li, Jiajie; Zhu, Shengfeng
1
2022
A primal-dual hybrid gradient algorithm to solve the LLT model for image denoising. Zbl 1265.68329
Liu, Chunxiao; Kong, Dexing; Zhu, Shengfeng
1
2012
Modelling, analysis, and numerical methods for a geometric inverse source problem in variable-order time-fractional subdiffusion. Zbl 1514.35483
Fan, Wei; Hu, Xindi; Zhu, Shengfeng
1
2023
Error and stability estimates of a time-fractional option pricing model under fully spatial-temporal graded meshes. Zbl 07700264
Soleymani, Fazlollah; Zhu, Shengfeng
2
2023
Modelling, analysis, and numerical methods for a geometric inverse source problem in variable-order time-fractional subdiffusion. Zbl 1514.35483
Fan, Wei; Hu, Xindi; Zhu, Shengfeng
1
2023
On geometric inverse problems in time-fractional subdiffusion. Zbl 1501.35437
Hu, Xindi; Zhu, Shengfeng
4
2022
Finite element method coupling penalty method for flexural shell model. Zbl 1499.65681
Shen, Xiaoqin; Xue, Yongjie; Yang, Qian; Zhu, Shengfeng
3
2022
A level set method for Laplacian eigenvalue optimization subject to geometric constraints. Zbl 1493.90192
Qian, Meizhi; Zhu, Shengfeng
2
2022
Shape optimization of Navier-Stokes flows by a two-grid method. Zbl 1507.49038
Li, Jiajie; Zhu, Shengfeng
2
2022
On distributed \(H^1\) shape gradient flows in optimal shape design of Stokes flows: convergence analysis and numerical applications. Zbl 1499.49099
Li, Jiajie; Zhu, Shengfeng
1
2022
Improved discrete boundary type shape gradients for PDE-constrained shape optimization. Zbl 1495.49026
Gong, Wei; Li, Jiajie; Zhu, Shengfeng
1
2022
On discrete shape gradients of boundary type for PDE-constrained shape optimization. Zbl 1466.49035
Gong, Wei; Zhu, Shengfeng
10
2021
On a high-order Gaussian radial basis function generated Hermite finite difference method and its application. Zbl 07444708
Soleymani, Fazlollah; Zhu, Shengfeng
3
2021
RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function. Zbl 1524.91150
Soleymani, Fazlollah; Zhu, Shengfeng
3
2021
A two-grid binary level set method for eigenvalue optimization. Zbl 1479.74138
Zhang, Jing; Zhu, Shengfeng; Liu, Chunxiao; Shen, Xiaoqin
2
2021
Isogeometric analysis with proper orthogonal decomposition for elastodynamics. Zbl 1528.65076
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng
1
2021
Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization. Zbl 1446.65154
Zhu, Shengfeng; Hu, Xianliang; Liao, Qifeng
11
2020
Isogeometric analysis for time-fractional partial differential equations. Zbl 1450.65123
Hu, Xindi; Zhu, Shengfeng
6
2020
On accuracy of approximate boundary and distributed \(H^1\) shape gradient flows for eigenvalue optimization. Zbl 1477.65183
Zhu, Shengfeng; Hu, Xianliang; Wu, Qingbiao
4
2020
Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation. Zbl 1440.76093
Zhu, Shengfeng; Gao, Zhiming
17
2019
The time-dependent generalized membrane shell model and its numerical computation. Zbl 1440.74212
Shen, Xiaoqin; Jia, Junjun; Zhu, Shengfeng; Li, Haoming; Bai, Lin; Wang, Tiantian; Cao, Xiaoshan
10
2019
Shape identification in Stokes flow with distributed shape gradients. Zbl 1448.76070
Li, Jiajie; Zhu, Shengfeng
9
2019
Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems. Zbl 1452.76094
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng
5
2019
Quasi-Toeplitz splitting iteration methods for unsteady space-fractional diffusion equations. Zbl 1418.65097
Dai, Ping-fei; Wu, Qing-Biao; Zhu, Sheng-Feng
5
2019
Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives. Zbl 1453.65400
Zhu, Shengfeng
21
2018
A multi-mesh finite element method for phase-field based photonic band structure optimization. Zbl 1382.65331
Wu, Shengyang; Hu, Xianliang; Zhu, Shengfeng
13
2018
A level set method for shape optimization in semilinear elliptic problems. Zbl 1380.49063
Zhu, Shengfeng; Hu, Xianliang; Wu, Qingbiao
10
2018
Accuracy of finite element methods for boundary-value problems of steady-state fractional diffusion equations. Zbl 1359.65271
Wang, Hong; Yang, Danping; Zhu, Shengfeng
20
2017
Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation. Zbl 1381.65086
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio
12
2017
Isogeometric analysis and proper orthogonal decomposition for parabolic problems. Zbl 1380.65295
Zhu, Shengfeng; Dedè, Luca; Quarteroni, Alfio
9
2017
A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations. Zbl 1425.65183
Wang, Hong; Yang, Danping; Zhu, Shengfeng
33
2015
Laguerre pseudospectral approximation to the Thomas-Fermi equation. Zbl 1316.34026
Liu, Chunxiao; Zhu, Shengfeng
7
2015
Inhomogeneous Dirichlet boundary-value problems of space-fractional diffusion equations and their finite element approximations. Zbl 1320.65182
Wang, Hong; Yang, Danping; Zhu, Shengfeng
55
2014
A convex relaxation method for computing exact global solutions for multiplicative noise removal. Zbl 1254.65037
Liu, Chunxiao; Zhu, Shengfeng
1
2013
An adaptive algorithm for the Thomas-Fermi equation. Zbl 1236.65094
Zhu, Shengfeng; Zhu, Hancan; Wu, Qingbiao; Khan, Yasir
8
2012
A primal-dual hybrid gradient algorithm to solve the LLT model for image denoising. Zbl 1265.68329
Liu, Chunxiao; Kong, Dexing; Zhu, Shengfeng
1
2012
A semi-implicit binary level set method for source reconstruction problems. Zbl 1263.65061
Liu, Chunxiao; Zhu, Shengfeng
11
2011
Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method. Zbl 1213.65098
Zhu, Shengfeng; Wu, Qingbiao; Liu, Chunxiao
8
2011
New variational formulations for level set evolution without reinitialization with applications to image segmentation. Zbl 1255.68252
Liu, Chunxiao; Dong, Fangfang; Zhu, Shengfeng; Kong, Dexing; Liu, Kefeng
7
2011
A variational binary level-set method for elliptic shape optimization problems. Zbl 1246.65097
Zhu, Shengfeng; Dai, Xiaoxia; Liu, Chunxiao
4
2011
Variational piecewise constant level set methods for shape optimization of a two-density drum. Zbl 1194.65087
Zhu, Shengfeng; Wu, Qingbiao; Liu, Chunxiao
16
2010
Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum. Zbl 1231.74368
Zhu, Shengfeng; Liu, Chunxiao; Wu, Qingbiao
10
2010
Numerical solution of the Falkner-Skan equation based on quasilinearization. Zbl 1179.65094
Zhu, Shengfeng; Wu, Qingbiao; Cheng, Xiaoliang
8
2009
all top 5

Cited by 370 Authors

39 Zhu, Shengfeng
27 Wang, Hong
15 Zheng, Xiangcheng
11 Shen, Xiaoqin
8 Hu, Xianliang
7 Ervin, Vincent J.
7 Liu, Chunxiao
7 Wu, Qingbiao
6 Li, Jiajie
5 Hu, Xindi
5 Karniadakis, George Em
4 Chen, Huanzhen
4 Du, Ning
4 Gao, Zhiming
4 Jia, Jinhong
4 Li, Yulong
4 Liu, Yang
4 Yan, Wenjing
4 Yang, Qian
3 Bai, Lin
3 Cheng, Aijie
3 Delkhosh, Mehdi
3 Fu, Hongfei
3 Gao, Fuzheng
3 Jing, Feifei
3 Li, Hong
3 Mao, Zhiping
3 Singler, John R.
3 Wu, Rongfang
3 Yang, Danping
3 Yang, Suxiang
3 Zhao, Meng
2 Allaire, Grégoire
2 Al-saedi, Ahmed Eid Salem
2 Azaïez, Mejdi
2 Bäumer, Boris
2 Bogoşel, Beniamin
2 Dapogny, Charles
2 Du, Qiang
2 Du, Yanwei
2 Fan, Wei
2 Fazio, Riccardo
2 Ginting, Victor
2 Hao, Zhaopeng
2 Hayat, Tasawar
2 Hou, Jiangyong
2 Huang, Zhengda
2 Jin, Bangti
2 Knio, Omar M.
2 Kong, Xiangyin
2 Kovács, Mihály
2 Li, Futuan
2 Li, Linjin
2 Li, Richen
2 Li, Yibao
2 Li, Yingyuan
2 Li, Yixin
2 Lian, Yanping
2 Liu, Fawang
2 Liu, Huan
2 Ma, Jie
2 Meerschaert, Mark Marvin
2 Nguyen-Xuan, Hung
2 Parand, Kourosh
2 Pavarino, Luca Franco
2 Qian, Meizhi
2 Rubino, Samuele
2 Sankaranarayanan, Harish
2 Shao, Xinhui
2 Soleymani, Fazlollah
2 Song, Yanlai
2 Tian, Xiaochuan
2 Ullah, Malik Zaka
2 Wang, Kaixin
2 Wang, Lilian
2 Wang, Tiantian
2 Wei, Weibo
2 Xu, Chuanju
2 Xue, Yongjie
2 Yu, Qian
2 Zampieri, Elena
2 Zhao, Jikun
1 Abbasbandy, Saeid
1 Abedzadeh, A.
1 Agnelli, Juan Pablo
1 Akgül, Ali
1 Al-Saedi, Akeel A.
1 Ali, Hazrat
1 Anh, Vo V.
1 Antolin, Pablo
1 Antunes, Pedro Ricardo Simão
1 Attili, Basem S.
1 Banerjee, Abhirup
1 Bastl, Bohumír
1 Ben-Romdhane, Mohamed
1 Birgin, Ernesto G.
1 Bordas, Stéphane Pierre Alain
1 Brandner, Marek
1 Bretin, Elie
1 Bu, Weiping
...and 270 more Authors
all top 5

Cited in 71 Serials

21 Computer Methods in Applied Mechanics and Engineering
20 Journal of Computational and Applied Mathematics
15 Journal of Scientific Computing
11 Computers & Mathematics with Applications
11 Journal of Computational Physics
9 Applied Numerical Mathematics
8 SIAM Journal on Numerical Analysis
6 SIAM Journal on Scientific Computing
5 Applied Mathematics and Computation
5 Fractional Calculus & Applied Analysis
4 Numerical Algorithms
4 International Journal of Computer Mathematics
3 Numerical Methods for Partial Differential Equations
3 Journal of Mathematical Imaging and Vision
3 Advances in Computational Mathematics
3 Communications in Nonlinear Science and Numerical Simulation
3 Discrete and Continuous Dynamical Systems. Series B
3 Communications in Computational Physics
3 Advances in Applied Mathematics and Mechanics
2 Computers and Fluids
2 BIT
2 Mathematics and Computers in Simulation
2 Journal of Computational Mathematics
2 Computational Mechanics
2 Computational Optimization and Applications
2 Computational and Applied Mathematics
2 Engineering Analysis with Boundary Elements
2 Nonlinear Dynamics
2 Journal of Applied Mathematics and Computing
2 Communications on Applied Mathematics and Computation
2 Electronic Research Archive
1 Applicable Analysis
1 Inverse Problems
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Applied Mathematics and Optimization
1 Calcolo
1 Commentationes Mathematicae Universitatis Carolinae
1 Journal of Optimization Theory and Applications
1 Meccanica
1 Numerische Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Control and Optimization
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 The Journal of Geometric Analysis
1 Applications of Mathematics
1 Applied Mathematical Modelling
1 Journal of Nonlinear Science
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Journal of Inverse and Ill-Posed Problems
1 Mathematical Problems in Engineering
1 Mathematics and Mechanics of Solids
1 Discrete Dynamics in Nature and Society
1 Nonlinear Analysis. Real World Applications
1 Mathematical Modelling and Analysis
1 Computational Methods in Applied Mathematics
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Advances in Difference Equations
1 Engineering Optimization
1 Networks and Heterogeneous Media
1 Inverse Problems and Imaging
1 Communications in Theoretical Physics
1 Acta Universitatis Sapientiae. Mathematica
1 Advances in Mathematical Physics
1 Journal of Applied Mathematics & Informatics
1 Iranian Journal of Mathematical Sciences and Informatics
1 East Asian Journal on Applied Mathematics
1 SIAM/ASA Journal on Uncertainty Quantification
1 Journal of Elliptic and Parabolic Equations
1 SMAI Journal of Computational Mathematics

Citations by Year