Welcome to the Homepage of Haijun Wu
ARTICLES

  1. Bingxin Zhu and Haijun Wu, The (p,p-1)-HDG method for the Helmholtz Equation with Large Wave Number. SIAM J. Numer. Anal. 62(2024), pp. 1394-1419.

  2. Wangtao Lu, Jun Lai, and Haijun Wu, On the Well-Posedness of UPML Method for Wave Scattering in Layered Media. CSIAM Trans. Appl. Math. 5(2024), pp. 264-294.

  3. Kuokuo Zhang, Weibing Deng, and Haijun Wu, A CutFE-LOD method for the multiscale elliptic problems on complex domains. J. Comp. Appl. Math. 445(2024) 115820.

  4. Yu Du and Haijun Wu, Iterative pure source transfer domain decomposition methods for Helmholtz equations in heterogeneous media. Commun. Comput. Phys. 34(2023), pp. 1247-1276.

  5. Haijun Wu and Weiying Zheng, Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for elliptic problems with discontinuous coefficients. Commun. Math. Res., 39(2023), pp. 437-475.

  6. Yu Zhou and Haijun Wu, Dispersion Analysis of CIP-FEM for Helmholtz Equation. SIAM J. Numer. Anal. 61(2023), pp. 1278-1292.

  7. Run Jiang, Yonglin Li, Haijun Wu, and Jun Zou, Finite element method for a nonlinear perfectly matched layer Helmholtz equation with high wave number. SIAM J. Numer. Anal. 60(2022), pp. 2866-2896.

  8. Songyao Duan and Haijun Wu, Adaptive FEM for Helmholtz Equation with Large Wavenumber. J. Sci. Comp. (2022), 94:21.

  9. Kuokuo Zhang, Weibing Deng, and Haijun Wu, A combined multiscale finite element method based on the LOD technique for the multiscale elliptic problems with singularities. J. Comp. Phy. (2022), 469:111540.

  10. Xue Jiang, Peijun Li, Junliang Lv, Zhoufeng Wang, Haijun Wu, and Weiying Zheng, An adaptive edge finite element DtN method for Maxwell’s equations in biperiodic structures. IMA J. Numer. Anal. (2021), https://doi.org/10.1093/imanum/drab052.

  11. Bingxin Zhu and Haijun Wu, Preasymptotic Error Analysis of the HDG Method for Helmholtz Equation with Large Wave Number. J. Sci. Comp. (2021), 87:63.

  12. Yu Du, Haijun Wu, and Zhimin Zhang, Superconvergence analysis of the polynomial preserving recovery for elliptic problems with Robin boundary conditions. J. Comp. Math. 38(2020), pp. 223–238.

  13. Yu Du, Haijun Wu, and Zhimin Zhang, Superconvergence analysis of linear FEM based on polynomial preserving recovery for Helmholtz equation with high wave number. J. Comp. Appl. Math. 372(2020).

  14. Haitao Cao and Haijun Wu, IPCDGM and multiscale IPDPGM for the Helmholtz problem with large wave number. J. Comp. Appl. Math. 369(2020).

  15. Xiaoxiao He, Weibing Deng, and Haijun Wu, An interface penalty finite element method for elliptic interface problems on piecewise meshes. J. Comp. Appl. Math. 367(2020).

  16. Haijun Wu and Yuanming Xiao, An unfitted hp-interface penalty finite element method for elliptic interface problems. J. Comp. Math. 37(2019), pp. 316–339. (see also http://arxiv.org/pdf/1007.2893v1)

  17. Peipei Lu, Haijun Wu, and Xuejun Xu, Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number. Adv. Comp. Math. 45(2019), pp. 3265–3291.

  18. Yonglin Li and Haijun Wu, FEM and CIP-FEM for Helmholtz Equation with High Wave Number and Perfectly Matched Layer Truncation. SIAM J. Numer. Anal. 57(2019), pp. 96-126.

  19. Jun Zou and Haijun Wu, Finite element method and its analysis for a nonlinear Helmholtz equation with high wave numbers. SIAM J. Numer. Anal., 56(2018), pp. 1338–1359.

  20. Weiqi Zhou and Haijun Wu, An adaptive finite element method for the diffraction grating problem with PML and few-mode DtN truncations. J. Sci. Comp. (2018), https://doi.org/10.1007/s10915-018-0683-0

  21. Peiqi Huang, Haijun Wu, and Yuanming Xiao, An unfitted interface penalty finite element method for elliptic interface problems. Comp. Methods Appl. Mech. Engrg. 323 (2017), pp. 439–460

  22. Erik Burman, Haijun Wu, and Lingxue Zhu, Linear continuous interior penalty finite element method for Helmholtz equation With High Wave Number: One-Dimensional Analysis. Numer. Meth. Par. Diff. Equ. 32(2016), pp. 1378-1410.

  23. Fei Song, Weibing Deng, and Haijun Wu, A combined finite element and oversampling multiscale Petrov–Galerkin method for the multiscale elliptic problems with singularities. J. Comp. Phy., 305 (2016), pp. 722-743.

  24. Zhenhua Zhou and Haijun Wu, Convergence and Quasi-Optimality of an Adaptive Multi-Penalty Discontinuous Galerkin Method. Numer. Math. Theor. Meth. Appl., 9 (2016), pp. 51-86.

  25. Zhoufeng Wang, Gang Bao, Jiaqing Li, Peijun Li, and Haijun Wu, An adaptive finite element method for the diffraction grating problem with transparent boundary condition. SIAM J. Numer. Anal., 53(2015), pp. 1585–1607.

  26. Yu Du and Haijun Wu, Preasymptotic error analysis of higher order FEM and CIP-FEM for Helmholtz equation with high wave number. SIAM J. Numer. Anal., 53(2015), pp. 782–804.

  27. Huangxin Chen, Haijun Wu, and Xuejun Xu. Multilevel preconditioner with stable coarse grid corrections for the Helmholtz equation. SIAM J. Sci. Comp., 37(2015), pp. A221–A244.

  28. Weibing Deng and Haijun Wu, A combined finite element and multiscale finite element method for the multiscale elliptic problems. SIAM MMS, 2014(12), 1424–1457.

  29. Xiaobing Feng and Haijun Wu, An absolutely stable discontinuous Galerkin method for the indefinite time-harmonic Maxwell equations with large wave number. SIAM J. Numer. Anal., 52(2014), pp. 2356–2380.

  30. Patrick Ciarlet, Jr, Haijun Wu and Jun Zou, Edge element methods for Maxwell's equations with strong convergence for Gauss' laws. SIAM J. Numer. Anal. 52 (2014), pp. 779-807.

  31. Haijun Wu, Pre-asymptotic error analysis of CIP-FEM and FEM for Helmholtz equation with high wave number. Part I: Linear version. IMA J. Numer. Anal., (2014) 34, 1266-1288

  32. Lingxue Zhu and Haijun Wu, Preasymptotic error analysis of CIP-FEM and FEM for Helmholtz equation with high wave number. Part II: hp version, SIAM J. Numer. Anal., 51 (2013), 1828-1852.

  33. Peijun Li, Haijun Wu, and Weiying Zheng, An overfilled cavity problem for Maxwell's equations, Math. Meth. Appl. Sci., 35(16) (2012), 1951-1979.

  34. Ralf Hiptmair, Haijun Wu, and Weiying Zheng. Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell's equations. Numer. Math. Theor. Meth. Appl., 5(3) (2012), 297-332.

  35. Peijun Li, Haijun Wu, and Weiying Zheng, Electromagnetic scattering by unbounded rough surfaces, SIAM J. Math. Anal., 43 (2011), 1205 - 1231.

  36. Xiaobing Feng and Haijun Wu. hp-discontinuous Galerkin methods for the Helmholtz equation with large wave number. Math. Comp., 80 (2011), 1997 - 2024.

  37. R. H. W. Hoppe, Haijun Wu, and Zhimin Zhang. Adaptive finite element methods for the Laplace eigenvalue problem. J. Numer. Math., 18(4) (2010), 281-302.

  38. Haijun Wu. A modified polynomial preserving recovery and its applications to a posteriori error estimates. Numer. Math. Theor. Meth. Appl., 3(1) (2010), 53-78.

  39. Gang Bao, Peijun Li, and Haijun Wu. An adaptive edge element method with perfectly matched absorbing layers for wave scattering by biperiodic structures. Math. Comp., 79 (2010), 1 - 34.

  40. Xiaobing Feng and Haijun Wu. Discontinuous Galerkin methods for the Helmholtz equation with large wave number. SIAM J. Numer. Anal., 47(4) (2009), 2872-2896.

  41. Jie Chen, Desheng Wang, and Haijun Wu. An adaptive finite element method with a modified perfectly matched layer formulation for diffraction gratings. Comm. Comp. Phys., 6(2) (2009), 290-318.

  42. Xiaobing Feng and Haijun Wu. A posteriori error estimates for finite element approximations of the Cahn-Hilliard equation and the Hele-Shaw flow. J. Comp. Math., 26(6) (2008), 767 - 796.

  43. Haijun Wu and Zhimin Zhang. Enhancing eigenvalue approximation by gradient recovery on adaptive meshes. IMA J. Numer. Anal., 28(4) (2008), 1-15.

  44. Haijun Wu and Zhimin Zhang. Can we have superconvergent gradient recovery under adaptive meshes? SIAM J. Numer. Anal., 45(4) (2007), 1701-1722.

  45. Haijun Wu and Zhiming Chen. Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems. Science in China: Series A Mathematics 49 (2006), 1405 - 1429.

  46. Gang Bao, Ying Li, and Haijun Wu. Numerical solution of nonlinear diffraction problems. J. Comp. Appl. Math. 190(1-2) (2006), 170 - 189.

  47. Gang Bao, Zhiming Chen, and Haijun Wu. An adaptive finite element method for diffraction gratings. J. Opt. Soc. Am. A. 22(6) (2005), 1106 - 1114.

  48. Gang Bao and Haijun Wu. Convergence analysis of the PML problems for time-harmonic Maxwell's equations. SIAM J. Numer. Anal. 43(5) (2005), 2121 - 2143.

  49. Xiaobing Feng and Haijun Wu. A posteriori error estimates and an adaptive finite element method for the Allen-Cahn equation and the mean curvature flow. Journal of Scientific Computing, 24(2) (2005), 121 - 146.

  50. Zhiming Chen and Haijun Wu. An adaptive finite element method with perfectly matched absorbing layers for the wave scattering by periodic structures. SIAM J. Numer. Anal., 41(3) (2003), 799 - 826.

  51. Haijun Wu and Ronghua Li. Error estimates for finite volume element methods for general second order elliptic problems. Numerical Methods for Partial Differential Equations. 19(6) (2003), 693 - 708 .

  52. Haijun Wu, Yonghai Li and Ronghua Li. Adaptive generalized difference / finite volume computations for two dimensional nonlinear parabolic equations. Chinese Journal of Computational Physics, 20(3) (2003), 64 - 72.

  53. Haijun Wu and Ronghua Li. Long-time convergence of generalized difference method for Navier-Stokes equations. Numerical Mathematics. A Journal of Chinese Universities, 10(2) (2001), 193 - 208.

  54. Ronghua Li and Haijun Wu. The long-time stability and convergence for computing evolution equations. Numerical Mathematics. A Journal of Chinese Universities (in Chinese), 23(1) (2001), 79 - 86.

  55. Haijun Wu and Ronghua Li. Long-time convergence of fully discrete nonlinear Galerkin method---Case of finite-elements. Northeast. Math. J. 16(2) (2000), 193 - 214.

  56. Haijun Wu and Ronghua Li. Long-time convergence of numerical approximations for semilinear parabolic equations (II). Northeast. Math. J. 17(1) (2001) 75 - 84.

  57. Haijun Wu and Ronghua Li. Long-time convergence of numerical approximations for semilinear parabolic equations(I). Northeast. Math. J. 16(1) (2000), 99 - 126.

  58. Haijun Wu and Ronghua Li. The stability and convergence of computing long-time behavior. Journal of Computational Mathematics, 17(4) (1999), 397 - 418.

  59. Ronghua Li, Bo Liu, Haijun Wu, and Feng Li. Application of the hierarchical basis method to difference equations. (Chinese) Acta Sci. Natur. Univ. Jilin. 1 (1995), 9 - 13.

BOOK
  1. Zhiming Chen and Haijun Wu, Selected Topics in Finite Element Methods, Science Press Beijing, 2010.