| 张琪慧, 尚月强. Navier-Stokes方程的亚格子模型后处理混合有限元方法[J].西南大学学报(自然科学版), 2019, 41(3): 67-74. |
| 刘诗焕, 朱先阳.高维空间中阻尼Boussinesq方程初值问题的整体解[J].西南师范大学学报(自然科学版), 2018, 43(9): 1-5. |
| BOFFI D. Finite Element Approximation of Eigenvalue Problems [J]. Acta Numer, 2010, 19: 1-120. |
| HU J, HUANG Y Q, SHEN H M. The Lower Approximation of Eigenvalue by Lumped Mass Finite Element Method [J]. Comput Math, 2004, 22(4): 545-556. |
| GREBENKOV D S, NGUYEN B T. Geometrical Structure of Laplacian Eigenfunctions [J]. SIAM Review, 2013, 55(4): 601-667. |
| DAVIS C B. A Partition of Unity Method with Penalty for Fourth Order Problems [J]. J of Sci Comput, 2014, 60(1): 228-248. |
| SUN J G. A New Family of High Regularity Elements [J]. Numer Methods PDE, 2012, 28(1): 1-16. |
| ZHOU J W, ZHANG J, XING X Q. Galerkin Spectral Approximations for Optimal Control Problems Governed by the Fourth Order Equation with an Integral Constraint on State [J]. Comput Math Appl, 2016, 72(10): 2549-2561. |
| OH H S, DAVIS C, JEONG J W. Meshfree Particle Methods for Thin Plates [J]. Comput Methods Appl Mech Eng, 2012, 209: 156-171. |
| BJORSTAD P E, TJOSTHEIM B P. Timely Communication: Eifficient Algorithms for Solving a Fourth Order Equation with the Spectral-Galerkin Method [J]. SIAM Sci Comput, 1997, 18(2): 621-632. |
| SHERWIN S J, KARNIADAKIS G E. A Triangular Spectral Element Method: Applications to the Incompressible Navier-Stokes Equations [J]. Comput Methods Appl Mech Eng, 1995, 123(1-4): 189-229. |
| OWENS R G. Spectral Approximations on the Triangle [J]. Proceedings of the Royal Society, 1998, 454: 857-872. |
| DUBINER M. Spectral Methods on Triangles and Other Domains [J]. Sci Comput, 1991, 6(4): 345-390. |
| KARNIADAKIS G, SHERWIN S J. Spectral/hp Element Methods for Computational Fluid Dynamics [M]. Oxford: Oxford University Press, 2005. |
| BRAESS D, SCHWAB C. Approximation on Simplices with Respect to Weighted Sobolev Norms [J]. Approx Theory, 2000, 103(2): 329-337. |
| 李荣华.偏微分方程数值解法[M]. 2版.北京:高等教育出版社, 2010: 90-92. |