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Journal publications

1. S. Hou, Y. Chen and Z. Li,“Some Mathematical Problems related to the Rubik’s Snake”, Journal of Mechanisms and Robotics, Feb 2021, 13(1): 014502 (6 pages)

 

2. X. Li, P. Zhang, L. Shi, S. Hou and K. Ying, “A radial basis function meshless numerical method for solving interface problems in irregular domains”, Advances in Applied Mathematics and Mechanics, (13), 2021, pp671-700

 

3. L. Wang, H. Zheng, M. Zhao, L. Shi and S. Hou, “Petrov-Galerkin method for the band structure computation of anisotropic and piezoelectric photonic crystals”, Applied Mathematical Modelling, Vol 89, part 2, January 2021, pages 1090-1105

 

4. Y, Chen, S. Hou and X. Zhang, “A bilinear partially penalized immersed finite element method for elliptic interface problems with multi-domain and triple junction points”, Results in Applied Mathematics, Vol 8, November 2020

 

5. Z. Li, S. Hou and T. Bishop, “Computational Design and Analysis of a Magic Snake”, Journal of Mechanisms and Robotics, October 2020, 12(5): 054051 (5 pages)

 

6. Y. Chen, S. Hou and X. Zhang, “A immersed finite element method for elliptic interface problems with multi-domain and triple junction points”, Advances in Applied Mathematics and Mechanics, Advances in Applied Mathematics and Mechanics, Vol 11, pp1005-0121, 2019

 

7. L. Wang,  S. Hou and L. Shi, “A Simple FEM for solving two-dimensional diffusion equation with nonlinear interface jump conditions”, Computer Modelling in Engineering &Sciences, 119(1), pp 73-90, 2019

 

8. L.Wang, S. Hou, L. Shi and P. Zhang, “A bilinear weak formulation for solving elliptic equation with discontinuous coefficients”, Advances in Applied Mathematics and Mechanics, 11(1), pp216-240, 2019

 

9. N. Ying, S. Hou, S. Leung and H.K.Zhao, “A weak formulation for the multiphase Stokes flow problem without body fitting grids”, Pure and Applied Mathematics Quarterly, 14(1), pp131-159, 2018

 

10. L.Wang, S. Hou, L. Shi and P. Zhang, “A numerical method for solving variable coefficient wave equation with interface jump conditions”, International Journal of Numerical Analysis and Modelling, Vol.2018, Number 3721258, 2018

 

11. L.Wang, S. Hou and L. Shi, “A FEM for solving two-dimensional nonlinear  elliptic-parabolic interface problems with nonhomogeneous jump conditions”, Advances in Applied Mathematics and Mechanics, 10(3), pp 752-766, 2018

 

12. L. Wang, S. Hou and L. Shi, “A Numerical Method for solving Elliptic Interface Problems using Petrov-Galerkin Formulation with Adaptive Refinement”, Mathematical Problems in Engineering, Article ID 3721258, 2018

 

13. L.Wang, S. Hou and L. Shi, “A Simple Weak Formulation for solving two-dimensional Diffusion Equation with Local Reaction on the Interface”, Computer and Mathematics with Applications, Vol. 75, Issue 4, pp 1378-1389, 2018

 

14. L. Wang, S. Hou and L. Shi,  “A Numerical Method for solving three dimensional Elliptic Interface Problems with Triple-junction Points”, Advances of Computational Mathematics, Vol. 44, Issue 1, pp 175-193, 2018

 

15. L. Wang, S. Hou and L. Shi, “A Numerical Method for solving two-dimensional Elliptic Interface Problems with Non-homogeneous Flux Jump Condition and Nonlinear Jump Condition”, International Journal of Nonlinear Sciences and Numerical Simulations, 18 (3-4), pp245-254, 2017

 

16. L. Wang, S. Hou and L. Shi, “A Weak Formulation for solving Elliptic Interface Problems with Imperfect Contact”, Advances in Applied Mathematics and Mechanics, 9 (5), pp1189-1205, 2017

 

17. S. Hou and S. Zhang, “An Improved Imaging Method for Extended Targets”, Journal of Computational Physics, Vol. 333, pp 321-330, 2017

 

18. L. Wang, S. Hou and L. Shi, “An Improved non-traditional Finite Element Formulation for solving three dimensional Elliptic Interface Problems”, Computers & Mathematics with Applications, Vol. 73, Issue 3, pp374-384, 2017

 

19. S. Hou, Y. Jiang and Y. Cheng, “Direct and Inverse Scattering Problems for Domains with Multiple Corners”, International Journal of Partial Differential Equations, Vol. 2015, Article ID 968529, 2015

 

20. L. Wang, S. Hou, L. Shi and J. Solow, “A Numerical Method for solving Elasticity Equations with Interface involving Multi-domain and Triple Junction Points”, Applied Mathematics and Computation, Vol. 251, pp615-625, 2015

 

21. L. Wang, S. Hou and L. Shi. “An Improved Non-traditional Finite Element Formulation for solving the Elliptic Interface Problems”, Journal of Computational Mathematics,, Vol. 32, Num. 1, pp39-57, 2014

 

22. L. Wang, S. Hou and L. Shi. “A Numerical Method for Solving 3D Elasticity Equations with Sharp-Edged Interfaces”, International Journal of Partial Differential Equations, Article ID 476873, 2013

 

23. S. Hou, P. Song, H-K. Zhao and L. Wang, “A Weak Formulation for solving Elliptic Interface Problems with body-fitted grid”, Journal of Computational Physics, 249:80-95, 2013

 

24. S. Hou, L. Wang and W. Wang, “A Numerical Method for solving the Elliptic Interface Problem with Multi-Domains and Triple Junction Points”, Journal of Computational Mathematics, Vol.30, No.5, pp. 504-516, 2012

 

25. S. Hou, Z. Li, L. Wang and W. Wang, “A Numerical Method for solving Elasticity Equation with Interfaces”, Communications in Computational Physics, Vol 12, No.2, pp. 595-612, 2012

 

 26. S. Hou, L. Wang and W. Wang, “Numerical Method for solving Matrix Coefficient Elliptic Equation with Sharp-Edged Interfaces”, J. Comp. Phys, Vol 229, 7162-7179, 2010

 

27. S. Hou, K. Huang, K. Solna and H.-K. Zhao, “A space and phase coherent direct imaging method”, J. Acoustic Society of America, Vol 125, 227-238, 2009

 

28. G. Bao, S. Hou and P. Li, “Inverse scattering by a continuation method with initial guesses from a direct imaging algorithm”, J. Comp. Phys., Vol 227, No. 1, pp. 755-762, 2007

 

29. S. Hou, K. Solna and H.-K. Zhao, “A direct imaging method for far field data”, Inverse Problems, Vol. 23, 1533-1546, 2007

 

30. B. Birnir, S. Hou and N. Wellander, “Derivation of the Viscous Moore-Greitzer Equation for Aeroengine Flow”, Journal of Math. Physics, 48, 065209, 2007  

 

31. S. Hou and X.-D. Liu, “Solutions of Multidimensional Hyperbolic Systems of Conservation Laws by Square Entropy Condition Satisfying Discontinuous Galerkin Methods”, J. Scientific Computing, Vol. 31, no. 1, pp. 127-151, 2007

 

32. S. Hou, K. Solna and H.-K. Zhao, “A direct imaging algorithm for extended targets”, Inverse Problems, Vol. 22, 1151-1178, 2006        

                               

33. S. Hou and X.-D. Liu, “A Numerical Method for solving Variable Coefficient Elliptic Equation with Interfaces”, J. Comp. Phys., Vol 202, No. 2, pp. 411-445, 2005

 

34. S. Hou, K. Solna and H.-K. Zhao, “Imaging of Location and Geometry for Extended Targets using the Response Matrix”, J. Comp. Phys., Vol 199, No.1, pp. 317-338, 2004

 

35. Q. Hou and S. Hou, “One by one orthogonal optimization method with its CAD for readjusting parameters in rail flash welding”, Journal of the China Railway Society, Vol. 20,  No. 5, 117-119, 1998