Shengfeng Zhu

Orcid: 0000-0002-4626-9983

According to our database1, Shengfeng Zhu authored at least 32 papers between 2009 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Shape optimization with virtual element method.
Commun. Nonlinear Sci. Numer. Simul., April, 2024

An adaptive phase-field method for structural topology optimization.
J. Comput. Phys., 2024

Energy stable gradient flow schemes for shape and topology optimization in Navier-Stokes flows.
CoRR, 2024

A numerical B-spline Galerkin method with proper generalized decomposition for reduced order modeling of partial differential equations.
Commun. Nonlinear Sci. Numer. Simul., 2024

2023
Numerical method for two-dimensional linearly elastic clamped plate model.
Int. J. Comput. Math., August, 2023

Numerical Reconstruction of a Discontinuous Diffusive Coefficient in Variable-Order Time-Fractional Subdiffusion.
J. Sci. Comput., July, 2023

Error and stability estimates of a time-fractional option pricing model under fully spatial-temporal graded meshes.
J. Comput. Appl. Math., June, 2023

Shape Optimization of the Stokes Eigenvalue Problem.
SIAM J. Sci. Comput., April, 2023

Adaptive Computation of an Elliptic Eigenvalue Optimization Problem with a Phase-Field Approach.
CoRR, 2023

2022
Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization.
SIAM J. Sci. Comput., August, 2022

On Geometric Inverse Problems in Time-Fractional Subdiffusion.
SIAM J. Sci. Comput., 2022

A level set method for Laplacian eigenvalue optimization subject to geometric constraints.
Comput. Optim. Appl., 2022

2021
On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization.
SIAM J. Numer. Anal., 2021

A Two-Grid Binary Level Set Method for Eigenvalue Optimization.
J. Sci. Comput., 2021

RBF-FD solution for a financial partial-integro differential equation utilizing the generalized multiquadric function.
Comput. Math. Appl., 2021

2020
Isogeometric analysis for time-fractional partial differential equations.
Numer. Algorithms, 2020

On accuracy of approximate boundary and distributed H1 shape gradient flows for eigenvalue optimization.
J. Comput. Appl. Math., 2020

2019
Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems.
J. Comput. Phys., 2019

Shape identification in Stokes flow with distributed shape gradients.
Appl. Math. Lett., 2019

2018
Effective Shape Optimization of Laplace Eigenvalue Problems Using Domain Expressions of Eulerian Derivatives.
J. Optim. Theory Appl., 2018

A level set method for shape optimization in semilinear elliptic problems.
J. Comput. Phys., 2018

A multi-mesh finite element method for phase-field based photonic band structure optimization.
J. Comput. Phys., 2018

2017
Isogeometric analysis and proper orthogonal decomposition for parabolic problems.
Numerische Mathematik, 2017

Accuracy of Finite Element Methods for Boundary-Value Problems of Steady-State Fractional Diffusion Equations.
J. Sci. Comput., 2017

2015
Laguerre pseudospectral approximation to the Thomas-Fermi equation.
J. Comput. Appl. Math., 2015

2014
Inhomogeneous Dirichlet Boundary-Value Problems of Space-Fractional Diffusion Equations and their Finite Element Approximations.
SIAM J. Numer. Anal., 2014

2013
A convex relaxation method for computing exact global solutions for multiplicative noise removal.
J. Comput. Appl. Math., 2013

2012
An adaptive algorithm for the Thomas-Fermi equation.
Numer. Algorithms, 2012

2011
New Variational Formulations for Level Set Evolution Without Reinitialization with Applications to Image Segmentation.
J. Math. Imaging Vis., 2011

A variational binary level-set method for elliptic shape optimization problems.
Int. J. Comput. Math., 2011

2010
Variational piecewise constant level set methods for shape optimization of a two-density drum.
J. Comput. Phys., 2010

2009
Numerical solution of the Falkner-Skan equation based on quasilinearization.
Appl. Math. Comput., 2009


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