Inhomogeneous Dirichlet boundary-value problems of space-fractional diffusion equations and their finite element approximations H Wang, D Yang, S Zhu SIAM Journal on Numerical Analysis 52 (3), 1292-1310, 2014 | 83 | 2014 |

A Petrov–Galerkin finite element method for variable-coefficient fractional diffusion equations H Wang, D Yang, S Zhu Computer Methods in Applied Mechanics and Engineering 290, 45-56, 2015 | 54 | 2015 |

New variational formulations for level set evolution without reinitialization with applications to image segmentation C Liu, F Dong, S Zhu, D Kong, K Liu Journal of Mathematical Imaging and Vision 41, 194-209, 2011 | 44 | 2011 |

Numerical solution of the Falkner–Skan equation based on quasilinearization S Zhu, Q Wu, X Cheng Applied Mathematics and Computation 215 (7), 2472-2485, 2009 | 29 | 2009 |

Accuracy of finite element methods for boundary-value problems of steady-state fractional diffusion equations H Wang, D Yang, S Zhu Journal of Scientific Computing 70 (1), 429-449, 2017 | 27 | 2017 |

Effective shape optimization of Laplace eigenvalue problems using domain expressions of Eulerian derivatives S Zhu Journal of Optimization Theory and Applications 176, 17-34, 2018 | 25 | 2018 |

Isogeometric analysis and proper orthogonal decomposition for parabolic problems S Zhu, L Dedè, A Quarteroni Numerische Mathematik 135 (2), 333-370, 2017 | 25 | 2017 |

Variational piecewise constant level set methods for shape optimization of a two-density drum S Zhu, Q Wu, C Liu Journal of Computational Physics 229 (13), 5062-5089, 2010 | 25 | 2010 |

Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation S Zhu, L Dedè, A Quarteroni ESAIM: Mathematical Modelling and Numerical Analysis, 2016 | 24 | 2016 |

Shape and topology optimization for elliptic boundary value problems using a piecewise constant level set method S Zhu, Q Wu, C Liu Applied numerical mathematics 61 (6), 752-767, 2011 | 24 | 2011 |

Laguerre pseudospectral approximation to the Thomas–Fermi equation C Liu, S Zhu Journal of computational and applied mathematics 282, 251-261, 2015 | 23 | 2015 |

An adaptive algorithm for the Thomas–Fermi equation S Zhu, H Zhu, Q Wu, Y Khan Numerical Algorithms 59, 359-372, 2012 | 21 | 2012 |

Binary level set methods for topology and shape optimization of a two-density inhomogeneous drum S Zhu, C Liu, Q Wu Computer methods in applied mechanics and engineering 199 (45-48), 2970-2986, 2010 | 21 | 2010 |

Convergence analysis of mixed finite element approximations to shape gradients in the Stokes equation S Zhu, Z Gao Computer Methods in Applied Mechanics and Engineering 343, 127-150, 2019 | 19 | 2019 |

A multi-mesh finite element method for phase-field based photonic band structure optimization S Wu, X Hu, S Zhu Journal of Computational Physics 357, 324-337, 2018 | 15 | 2018 |

Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems R Li, Q Wu, S Zhu Journal of Computational Physics 387, 280-302, 2019 | 14 | 2019 |

On discrete shape gradients of boundary type for PDE-constrained shape optimization W Gong, S Zhu SIAM Journal on Numerical Analysis 59 (3), 1510-1541, 2021 | 13 | 2021 |

A level set method for shape optimization in semilinear elliptic problems S Zhu, X Hu, Q Wu Journal of Computational Physics 355, 104-120, 2018 | 13 | 2018 |

Convergence analysis of Galerkin finite element approximations to shape gradients in eigenvalue optimization S Zhu, X Hu, Q Liao BIT Numerical Mathematics 60, 853-878, 2020 | 12 | 2020 |

The time-dependent generalized membrane shell model and its numerical computation X Shen, J Jia, S Zhu, H Li, LB Bai, T Wang, X Cao Computer Methods in Applied Mechanics and Engineering 344, 54-70, 2019 | 12 | 2019 |