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S. Zeng, Y. Liang, and Qinghui Zhang(corresponding), Adaptive deep neural networks for solving corner singular problems, submitted, 2023.
Qinghui Zhang, Unfitted generalized finite element methods for Dirichlet problems without penalty or stabilization, to appear in Numerical Methods for Partial Differential Equations, 2023, http://doi.org/10.1002/num.23081.
W. Gong, H. Li, and Qinghui Zhang(corresponding), Improved enrichments and numerical integrations in SGFEM for interface problems, Journal of Computational and Applied Mathematics, 438: 115540, 2024.
C. Cui, Qinghui Zhang(corresponding), U. Banerjee, and I. Babuska, Stable generalized finite element method (SGFEM) for three-dimensional crack problems, Numerishe Mathematik, 152: 475-509, 2022.
Y. Jiang, M. Nian, and Qinghui Zhang(corresponding), A stable generalized finite element method coupled with deep neural network for interface problems with discontinuities, Axioms, 11: 384, 2022.
H. Li, C. Cui, and Qinghui Zhang(corresponding), Stable generalized finite element methods (SGFEM) for interfacial crack problems in bi-materials, Engineering Analysis with Boundary Elements, 138: 83-94, 2022.
Qinghui Zhang, C. Cui, U. Banerjee, and I. Babuska, A condensed generalized finite element method (CGFEM) for interface problems, Computer Methods in Applied Mechanics and Engineering, 391: 114537, 2022.
H. Li, Qinghui Zhang(corresponding), X. Chen, Deep Learning-Based Surrogate Model for Flight Load Analysis, CMES: Computer Modeling in Engineering & Sciences, 128: 605-621, 2021.
Qinghui Zhang and C. Cui, Condensed generalized finite element method, Numerical Methods for Partial Differential Equations, 37: 1847-1868, 2021.
Qinghui Zhang and I. Babuska, A stable generalized finite element method (SGFEM) of degree two for interface problems, Computer Methods in Applied Mechanics and Engineering, 363: 112889, 2020.
Qinghui Zhang, U. Banerjee, and I. Babuska, Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem II: a simplified algorithm, Computer Methods in Applied Mechanics and Engineering, 363: 112926, 2020.
H. Li and Qinghui Zhang(corresponding), A meshfree finite volume method with optimal numerical integration and direct imposition of essential boundary conditions, Applied Numerical Mathematics, 153: 98-113, 2020.
C. Cui and Qinghui Zhang(corresponding), Stable generalized finite element methods (SGFEM) for elasticity crack problems, International Journal for Numerical Methods in Engineering, 121: 3066-3082, 2020.
Qinghui Zhang, DOF-gathering stable generalized finite element methods (SGFEM) for crack problems, Numerical Methods for Partial Differential Equations, 36: 1209-1233, 2020.
P. Zhu, Qinghui Zhang(corresponding), and T. Liu, Stable generalized finite element method (SGFEM) for parabolic interface problems, Journal of Computational and Applied Mathematics, 367: 112475, 2020.
P. Zhu and Qinghui Zhang(corresponding), BDF schemes in stable generalized finite element methods for parabolic interface problems with moving interfaces, CMES: Computer Modeling in Engineering & Sciences, 124: 107-127, 2020.
Y. Liu, Z. Wan, Q. Li, and Qinghui Zhang(corresponding), A corrected nearest neighbor transpotation method of aerodynamic force for fluid-structure interactions, International Journal of Numerical Analysis and Modeling, 17: 746-765, 2020.
Qinghui Zhang, U. Banerjee, and I. Babuska, Strongly Stable Generalized Finite Element Method (SSGFEM) for a non-smooth interface problem, Computer Methods in Applied Mechanics and Engineering,344: 538-568, 2019.
H. Li and Qinghui Zhang(corresponding), Optimal quadrilateral finite elements on polygonal domains, Journal of Scientific Computing, 70: 60-84, 2017.
Qinghui Zhang, I. Babuska, and U. Banerjee, Robustness in stable generalized finite element methods (SGFEM) applied to Poisson problems with crack singularities, Computer Methods in Applied Mechanics and Engineering, 311: 476-502, 2016.
Bin Wu and Qinghui Zhang(corresponding), Fast Multiscale Regularization Methods for High-Order Numerical Differentiations, IMA journal of Numerical Analysis, 36: 1432-1451, 2016.
G. Jin, H. Li, Qinghui Zhang, and Q. Zou, linear and quadratic finite volume methods on triangular meshes for elliptic equations with singular solutions, International Journal of Numerical Analysis and Modeling, 13: 244-264, 2016.
Qinghui Zhang, U. Banerjee, and I. Babuska, High order stable generalized finite element methods, Numerische Mathematik, 128: 1-29, 2014.
Qinghui Zhang, Quadrature for meshless Nitsche’s methods, Numerical Methods for Partial Differential Equations, 30: 265-288, 2014.
Qinghui Zhang and Q. Zou , A class of finite volume schemes of arbitrary order on non-uniform meshes, Numerical Methods for Partial Differential Equations, 30: 1614-1632, 2014.
Qinghui Zhang and K. Sze, Hybrid linear and quadratic finite element models for 3D Helmholtz problem, Acta Mechanica Solid Sinica. 26: 603-618, 2013.
L. Sun, G. Yang, and Qinghui Zhang(corresponding), Numerical integration with Constraints for meshless local Petrov-Galerkin methods, CMES: Computer Modeling in Engineering & Sciences, 95: 235-258, 2013.
Qinghui Zhang and U. Banerjee, Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients, Advances in Computational Mathematics, 37: 453-492, 2012.
H. Zhang, Y. Xu, and Qinghui Zhang, Refinement of vector-valued reproducing kernels, Journal of Machine Learning Research, 13: 91-136, 2012.
K. Sze. Qinghui Zhang, and G. Liu, Hybrid quadrilateral finite element models for axial symmetric Helmholtz problem, Finite Elements in Analysis and Design, 52: 1-10, 2012.
Qinghui Zhang, Theoretical analysis of numerical integration in Galerkin meshless methods, BIT Numerical mathematics, 51: 459-480, 2011.
H. Zhang and Qinghui Zhang(corresponding), Sparse discretization matrices for Volterra integral operators with applications to numerical differentiation, Journal of Integral Equations and Applications, 23: 137-156, 2011.
K. Sze, Qinghui Zhang, and G. Liu, Multi-field three-node triangular finite element models for Helmholtz problem, Journal of Computational Acoustics, 19: 317-334, 2011.
G. Liu, Qinghui Zhang, and K. Sze, Spherical-wave based triangular finite element models for axial symmetric Helmholtz problems, Finite Elements in Analysis and Design, 47: 342-350, 2011.
I. Babuska, U. Banerjee, J. Osborn, and Qinghui Zhang, Effect of numerical integration on meshless methods, Comput. Methods Appl. Mech. Engrg., 198: 2886-2897, 2009.