Publication

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  1. L. Wang, M. Zhang, and Q. Zhang, Fully nonconforming finite elements for singularly perturbed quadcurl problem on cubical meshes, in preparation.
  2. L. Wang, Q. Zhang, and Z. Zhang, Superconvergence analysis of curlcurl-conforming elements on rectangular meshes, submitted to J. Sci. Comput.
  3. Q. Zhang, M. Zhang, and Z. Zhang, Nonconforming finite elements for the Brinkman and \(-\mathrm{curl}\Delta\mathrm{curl}\) problems on cubical meshes, submitted to IMA J. Numer. Anal., arXiv:2206.08493v2.
  4. Q. Zhang and Z. Zhang, Three families of graddiv-conforming finite elements, Numer. Math., Vol. 152, No. 3, 2022, 701 --724: link.
  5. J. Hu, K. Hu, and Q. Zhang, Partially discontinuous nodal finite elements for \(H(\mathrm{curl})\) and \(H(\mathrm{div})\), Comput. Methods Appl. Math., Vol. 22, No. 3, 2022, 613--629: link.
  6. K. Hu, Q. Zhang, J. Han, L. Wang, and Z. Zhang, Spurious solutions for high order curl problems, IMA J. Numer. Anal., 2022, drac024: link.
  7. L. Wang, Q. Zhang, J. Sun, and Z. Zhang, A priori and a posterior error estimations of the quad-curl eigenvalue problem, ESAIM: M2AN, Vol. 56, No. 3, 2022, 1027--1051: link.
  8. K. Hu, Q. Zhang, and Z. Zhang, A family of finite element Stokes complexes in three dimensions, SIAM J. Numer. Anal., Vol. 60, No. 1, 2022, 222--243: link.
  9. K. Hu, Q. Zhang, and Z. Zhang, Simple curl-curl-conforming finite elements in two dimensions, SIAM J. Sci. Comput., Vol. 42, No. 6, 2020, A3859--A3877: link.
  10. Q. Zhang and Z. Zhang, A family of curl-curl conforming finite elements on tetrahedral meshes, CSIAM Trans. Appl. Math., Vol. 1, No. 4, 2019, 639--663: link.
  11. Q. Zhang, L. Wang, and Z. Zhang, \(H\)(curl\(^2\))-conforming finite elements in 2 dimensions and applications to the quad-curl problem, SIAM J. Sci. Comput., Vol. 41, No. 3, 2019, A1527--A1547: link.
  12. L. Wang, Q. Zhang, and Z. Zhang, Superconvergence analysis for arbitrary order rectangular and cubic edge elements for time-harmonic Maxwell's equation, J. Sci. Comput., Vol. 78, No. 2, 2019, 1207-1230: link.
  13. J. Sun, Q. Zhang, and Z. Zhang, A curl-conforming weak Galerkin method for the quad-curl problem, BIT Numer. Math., Vol. 59, 2019, 1093--1114: link.
  14. Q. Zhang, J. Zhang, S. Jiang, and Z. Zhang, Numerical solution to a linearized time fractional KdV equation on unbounded domains, Math. Comp., Vol. 87, No. 310, 2018, 693--719: link.
  15. S. Jiang, J. Zhang, Q. Zhang, and Z. Zhang, Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations, Commun. Comput. Phys., Vol. 21, No. 3, 2017, 650--678: link.
  16. Q. Zhang and R. Zhang, A weak Galerkin mixed finite element method for second-order elliptic equations, J. Comput. Math., Vol. 34, No. 5, 2016, 532--548: link.