Shengfeng Zhu

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 25

Top Topics

Eigenvalue Problems

Partial Differential Equations

Finite Element Methods

Top Venues

J. Comput. Phys.

J. Sci. Comput.

J. Comput. Appl. Math.

Publications

Richen Li, Qingbiao Wu, Shengfeng Zhu
A numerical B-spline Galerkin method with proper generalized decomposition for reduced order modeling of partial differential equations. Commun. Nonlinear Sci. Numer. Simul. 137 (2024)
Bangti Jin, Jing Li, Yifeng Xu, Shengfeng Zhu
An adaptive phase-field method for structural topology optimization. J. Comput. Phys. 506 (2024)
Fang Feng, Hui Yang, Shengfeng Zhu
Shape optimization with virtual element method. Commun. Nonlinear Sci. Numer. Simul. 131 (2024)
Jiajie Li, Shengfeng Zhu
Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows. CoRR (2024)
Wei Fan, Xindi Hu, Shengfeng Zhu
Numerical Reconstruction of a Discontinuous Diffusive Coefficient in Variable-Order Time-Fractional Subdiffusion. J. Sci. Comput. 96 (1) (2023)
Bangti Jin, Jing Li, Yifeng Xu, Shengfeng Zhu
An Adaptive Phase-Field Method for Structural Topology Optimization. CoRR (2023)
Xiaoqin Shen, Rongfang Wu, Shengfeng Zhu
Numerical method for two-dimensional linearly elastic clamped plate model. Int. J. Comput. Math. 100 (8) (2023)
Jing Li, Yifeng Xu, Shengfeng Zhu
Adaptive Computation of an Elliptic Eigenvalue Optimization Problem with a Phase-Field Approach. CoRR (2023)
Jiajie Li, Shengfeng Zhu
Shape Optimization of the Stokes Eigenvalue Problem. SIAM J. Sci. Comput. 45 (2) (2023)
Fazlollah Soleymani, Shengfeng Zhu
Error and stability estimates of a time-fractional option pricing model under fully spatial-temporal graded meshes. J. Comput. Appl. Math. 425 (2023)
Xindi Hu, Shengfeng Zhu
On Geometric Inverse Problems in Time-Fractional Subdiffusion. SIAM J. Sci. Comput. 44 (6) (2022)
Meizhi Qian, Shengfeng Zhu
A level set method for Laplacian eigenvalue optimization subject to geometric constraints. Comput. Optim. Appl. 82 (2) (2022)
Wei Gong, Jiajie Li, Shengfeng Zhu
Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization. SIAM J. Sci. Comput. 44 (4) (2022)
Fazlollah Soleymani, Shengfeng Zhu
RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function. Comput. Math. Appl. 82 (2021)
Jing Zhang, Shengfeng Zhu, Chunxiao Liu, Xiaoqin Shen
A Two-Grid Binary Level Set Method for Eigenvalue Optimization. J. Sci. Comput. 89 (3) (2021)
Wei Gong, Shengfeng Zhu
On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization. SIAM J. Numer. Anal. 59 (3) (2021)
Shengfeng Zhu, Xianliang Hu, Qingbiao Wu
On accuracy of approximate boundary and distributed H1 shape gradient flows for eigenvalue optimization. J. Comput. Appl. Math. 365 (2020)
Xindi Hu, Shengfeng Zhu
Isogeometric analysis for time-fractional partial differential equations. Numer. Algorithms 85 (3) (2020)
Richen Li, Qingbiao Wu, Shengfeng Zhu
Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems. J. Comput. Phys. 387 (2019)
Jiajie Li, Shengfeng Zhu
Shape identification in Stokes flow with distributed shape gradients. Appl. Math. Lett. 95 (2019)
Shengyang Wu, Xianliang Hu, Shengfeng Zhu
A multi-mesh finite element method for phase-field based photonic band structure optimization. J. Comput. Phys. 357 (2018)
Shengfeng Zhu
Effective Shape Optimization of Laplace Eigenvalue Problems Using Domain Expressions of Eulerian Derivatives. J. Optim. Theory Appl. 176 (1) (2018)
Shengfeng Zhu, Xianliang Hu, Qingbiao Wu
A level set method for shape optimization in semilinear elliptic problems. J. Comput. Phys. 355 (2018)
Shengfeng Zhu, Luca Dedè, Alfio Quarteroni
Isogeometric analysis and proper orthogonal decomposition for parabolic problems. Numerische Mathematik 135 (2) (2017)
Hong Wang, Danping Yang, Shengfeng Zhu
Accuracy of Finite Element Methods for Boundary-Value Problems of Steady-State Fractional Diffusion Equations. J. Sci. Comput. 70 (1) (2017)
Chunxiao Liu, Shengfeng Zhu
Laguerre pseudospectral approximation to the Thomas-Fermi equation. J. Comput. Appl. Math. 282 (2015)
Hong Wang, Danping Yang, Shengfeng Zhu
Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations. SIAM J. Numer. Anal. 52 (3) (2014)
Chunxiao Liu, Shengfeng Zhu
A convex relaxation method for computing exact global solutions for multiplicative noise removal. J. Comput. Appl. Math. 238 (2013)
Shengfeng Zhu, Hancan Zhu, Qingbiao Wu, Yasir Khan
An adaptive algorithm for the Thomas-Fermi equation. Numer. Algorithms 59 (3) (2012)
Shengfeng Zhu, Xiaoxia Dai, Chunxiao Liu
A variational binary level-set method for elliptic shape optimization problems. Int. J. Comput. Math. 88 (14) (2011)
Chunxiao Liu, Fang-Fang Dong, Shengfeng Zhu, Dexing Kong, Kefeng Liu
New Variational Formulations for Level Set Evolution Without Reinitialization with Applications to Image Segmentation. J. Math. Imaging Vis. 41 (3) (2011)
Shengfeng Zhu, Qingbiao Wu, Chunxiao Liu
Variational piecewise constant level set methods for shape optimization of a two-density drum. J. Comput. Phys. 229 (13) (2010)
Shengfeng Zhu, Qingbiao Wu, Xiaoliang Cheng
Numerical solution of the Falkner-Skan equation based on quasilinearization. Appl. Math. Comput. 215 (7) (2009)