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学术成果
论文：
Zhengfang Zhang; Xiangjing Gao; Xiaoliang Cheng; Numerical estimation of the inverse eigenvalue problem for a weighted Helmholtz equation. Journal of Scientific Computing, 96:16, 2023. Qingxia Zhang; Zhengfang Zhang; Mingyan He; Xinping Shao; Weifeng Chen; The dielectric boundary force in molecular solvation of the generalized Poisson–Boltzmann equation with ionic sizes. International Journal of Computational Methods, 20(4):2250060, 2023. Mingyan He; Jia Tian; Pengtao Sun; Zhengfang Zhang; An energy-conserving finite element method for nonlinear fourth-order wave equations. Applied Numerical Mathematics, 183:333-354, 2023. Bo Li; Zhengfang Zhang; Shenggao Zhou; The Calculus of Boundary Variations and the Dielectric Boundary Force in the Poisson-Boltzmann Theory for Molecular Solvation. Journal of Nonlinear Science, 31, Article number:89, 2021. Zhengfang Zhang; Yanqiang Dong; Weifeng Chen; A Non-Ersatz Material Approach for the Topology Optimization of Elastic Structures Based on Piecewise Constant Level Set Method. Communications in Computational Physics, 30:1370-1389, 2021. Zhang Z, Dai X，Chen W, A piecewise constant level set method for damage identification of continuum structures based on natural frequencies，Struct Multidisc Optim ,60:2477-2491, 2019. Zhang Z, Chen W, An approach for topology optimization of damping layer under harmonic excitations based on piecewise constant level set method，Journal of Computational Physics，390, 470-489, 2019 Zhang Z, Chen W, An approach for maximizing the smallest eigenfrequency ofstructure vibration based on piecewise constant level set method, Journal of Computational Physics，361，377–390，2018 W. Chen, W. Chen, H. Chen, Z. Zhang and H. Qu, An energy-saving color scheme for direct volume rendering,Computers & Graphics,54,57--64,2016 Zhang Z, Chen W, Cheng X, Sensitivity analysis and optimization of eigenmode localization in continuum systems. Struct Multidisc Optim ,52(2):305-317, 2015. Kong X, Zhang Z, Huang Z*, Piecewise constant level set algorithm for an inverse elliptic problem in nonlinear electromagnetism, Adv. Appl. Math. Mech., 7(3), pp. 387-406, 2015. Zhang Z, Chen W, Cheng X, A penalty optimization algorithm for eigenmode optimization problem using sensitivity analysis. Commun Comput phys,15(3):776–796,2014. Z.F. Zhang and X.L. Cheng, A boundary piecewise constant level set method for boundary control of eigenvalue optimization problems, Journal of Computational Physics, 230 (2), 458--473, 2011. Z.F. Zhang, K.W. Liang and X.L. Cheng, Greedy algorithms for eigenvalue optimization problems in shape design of two-density inhomogeneous materials, International Journal of Computer Mathematics, 88(1), 183--195, 2011. B.Li, X.L. Cheng and Z.F. Zhang, Dielectric boundary force in molecular solvation with the Poisson-Boltzmann free energy: a shape derivative approach, SIAM Journal on Applied Mathematics, 71, 2093--2111, 2011. Z.F. Zhang, K.W. Liang and X.L. Cheng, A monotonic algorithm for eigenvalue optimization in shape design problems of multi-density inhomogeneous materials, Communications in Computational Physics, 8 (3), 565--584, 2010.
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