publications

MONOGRAPH

Z. C. Li, T. T Lu, H. Y. Hu and A. H.-D. Cheng (January 2008), Trefftz and Collocation Methods, WITpress, Southampton, UK. (ISBN 978-1-84564-153-5, 432pp)

BOOK CHAPTER

J. S. Chen, W. Hu and H. Y. Hu (2009), Localized Radial Basis Functions with Partition of Unity Properties, in Progress on Meshless Methods [A. Ferreira, E. Kansa, V. Leitão, G. Fasshauer (Eds) ] Springer, New York, 2009, pp. 37-56.

JOURNAL PAPERS

1. J. S. Chen, C. Marodon and H. Y. Hu (2015), Model Order Reduction for Meshfree Solution of Poisson Singularity Problems, International Journal for Numerical Methods in Engineering, Vol. 102, pp. 1211-1237.

2. S. W. Chi, J. S. Chen and H. Y. Hu (2014), A Weighted Collocation on the Strong Form with Mixed Radial Basis Approximation for Incompressible Linear Elasticity, Computational Mechanics, Vol. 53, pp. 309-324.

3. J. S. Chen, M. Hillman, M. Ruter, H. Y. Hu and S. W. Chi, (2013), The Role of Quadrature in Meshfree Methods: Variational Consistency in Galerkin Weak Form and Collocation in Strong Form, IACM expressions, Vol. 34, No. 13, pp. 11-17.

4. S. W. Chi, J. S. Chen, H. Y. Hu and J. Yang (2013), A Gradient Reproducing Kernel Collocation Method for Boundary Value Problem, International Journal for Numerical Methods in Engineering, Vol. 93, pp. 1381-1402.

5. S. W. Chi, J. S. Chen, H. Luo, H. Y. Hu and L. Wang (2013), Dispersion and Stability Properties of Radial Basis Collocation Method for Elastodynamics, Numerical Methods for Partial Differential Equations, Vol. 29, pp. 818-842.

6. J. S. Chen, S. W. Chi and H. Y. Hu (2011), Recent Developments in Stabilized Galerkin and Collocation Meshfree Methods, Journal of Computer Assisted Mechanics and Engineering Science, Vol. 18, pp. 3-21.

7. H. Y. Hu, J. S. Chen and S. W. Chi (2011), Perturbation and stability of strong form collocation with reproducing kernel approximation, International Journal for Numerical Methods in Engineering, Vol. 88, pp. 157-179.

8. H. Y. Hu, J. S. Chen and W. Hu (2011), Error analysis of collocation method based on reproducing kernel approximation, Numerical Methods for Partial Differential Equations, Vol. 27, pp. 554-580.

9. L. Wang, J. S. Chen and H. Y. Hu (2010), Subdomain radial basis collocation method for fracture mechanics, International Journal for Numerical Methods in Engineering, Vol. 83, pp 851-876.

10. L. Wang, J. S. Chen and H. Y. Hu (2009), Radial basis collocation method for dynamic analysis of axially moving beams, Interaction and Multiscale Mechanics, Vol. 2, No. 4, pp. 333-352.

11. H. Y. Hu, C. K. Lai and J. S. Chen (2009), A study on convergence and complexity of reproducing kernel collocation method, Interaction and Multiscale Mechanics, Vol. 2, No. 3, pp. 295-319.

12. J. S. Chen, L. Wang, H. Y. Hu and S.W. Chi (2009), Subdomain radial basis collocation method for heterogeneous media, International Journal for Numerical Methods in Engineering, Vol. 80, pp. 163-190.

13. J. S. Chen, W. Hu and H. Y. Hu (2008), Reproducing kernel enhanced local radial basis collocation method, International Journal for Numerical Methods in Engineering, Vol. 75, pp. 600-627.

14. H. Y. Hu and J. S. Chen (2008), Radial basis collocation method and quasi-Newton iteration for nonlinear elliptic problems, Numerical Methods for Partial Differential Equations, Vol. 24, pp. 991-1017.

15. Z. C. Li, Q. Fang, S. Wang, H. Y. Hu (2008), Superconvergence of solution derivatives of the Shortley-Weller difference approximation to elliptic equations with singularities involving the mixed type of boundary conditions, Numerical Functional Analysis and Optimization, Vol. 29, No.1 &2, pp.161-196.

16. Z. C. Li, H. Y. Hu, S. Wang and Q. Fang (2008), Superconvergence of solution derivatives of the Shortley-Weller difference approximation to Poisson's equation with singularities on polygonal domains, Applied Numerical Mathematics, Vol. 58, No.3, pp. 689-704.

17. H. Y. Hu, J. S. Chen and W. Hu (2007), Weighted radial basis collocation method for elasticity problems, International Journalfor Numerical Methods in Engineering, Vol. 69, pp. 2736-2757.

18. H. Y. Hu and Z. C. Li (2006), Combinations of collocation and finite element methods for Poisson's equations, Computers and Mathematics with Applications, Vol. 51, pp.1831-1853.

19. H. Y. Hu and Z. C. Li (2006), Collocation methods for Poisson's equation, Computer Methods in Applied Mechanics and Engineering, Vol. 195, pp. 4139-4160.

20. H. Y. Hu and Z. C. Li (2005), Verification of reduced convergence rates, Computing, Vol. 74, pp. 67-73.

21. Z. C. Li, T. T. Lu, H. Y. Hu and A. H.-D. Cheng (2005), Particular solutions of Laplace's equations on polygons and new models of singularities, Engineering Analysis with Boundary Elements, Vol. 29, No. 1, pp. 59-75.

22. H. Y. Hu, Z. C. Li and A. H.-D. Cheng (2005), Radial basis collocation methods for elliptic boundary value problem, Computers and Mathematics with Applications, Vol. 50, pp. 289-320.

23. T. T. Lu, H. Y. Hu and Z. C. Li (2004), Highly accurate solutions of Motz's problem and the cracked beam problem, Engineering Analysis with Boundary Elements, Vol. 28, No. 11, pp.1387-1403.

24. Z. C. Li, H. Y. Hu, C. H. Hsu and S. Wang (2004), Particular solutions of singularly perturbed partial differential equations with constant coefficients in rectangular domains, Part I.Convergence analysis, Journal of Computational and Applied Mathematics, Vol. 166, No. 1, pp. 181-208.

25. Z. C. Li, T. T. Lu and H. Y. Hu (2004), Collocation Trefftz methods for biharmonic equations with crack singularities, Engineering Analysis with Boundary Elements, Vol. 28, No.1, pp.79-96.

26. Z. C. Li, H. Y. Hu, Q. Fang and T. Yamamoto (2003), Superconvergence of solution derivatives for the Shortley-Weller difference approximation, Part II. Singularity problem, Numerical Functional Analysis and Optimization, Vol. 24, No.3 &4, pp. 195-221.

27. Y. C. Chen, C. H. Wu and H. Y. Hu (2000), Numerical simulation of gas emission in a sanitary landfill equipped with a passive venting system, Journal of Environmental Science and Health, Part A, Vol. 35, No.9, pp. 1735-1747.