On the Inf-Sup Constant of a Triangular Spectral Method for the Stokes Equations

作者: Yanhui Su , Lizhen Chen , Xianjuan Li , Chuanju Xu

DOI: 10.1515/CMAM-2016-0011

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参考文章(16)
Lizhen Chen, Jie Shen, Chuanju Xu, A Triangular Spectral Method for the Stokes Equations Numerical Mathematics-theory Methods and Applications. ,vol. 4, pp. 158- 179 ,(2011) , 10.4208/NMTMA.2011.42S.3
Moshe Marcus, Victor J. Mizel, Yehuda Pinchover, On the best constant for Hardy's inequality in $\mathbb{R}^n$ Transactions of the American Mathematical Society. ,vol. 350, pp. 3237- 3255 ,(1998) , 10.1090/S0002-9947-98-02122-9
Dietrich Braess, Christoph Schwab, Approximation on Simplices with Respect to Weighted Sobolev Norms Journal of Approximation Theory. ,vol. 103, pp. 329- 337 ,(2000) , 10.1006/JATH.1999.3429
Wilhelm Heinrichs, Birgit I. Loch, Spectral schemes on triangular elements Journal of Computational Physics. ,vol. 173, pp. 279- 301 ,(2001) , 10.1006/JCPH.2001.6876
Christine Bernardi, Claudio Canuto, Yvon Maday, Generalized Inf-Sup Conditions for Chebyshev Spectral Approximation of the Stokes Problem SIAM Journal on Numerical Analysis. ,vol. 25, pp. 1237- 1271 ,(1988) , 10.1137/0725070
Moshe Dubiner, Spectral methods on triangles and other domains Journal of Scientific Computing. ,vol. 6, pp. 345- 390 ,(1991) , 10.1007/BF01060030
Richard Pasquetti, Francesca Rapetti, Spectral Element Methods on Unstructured Meshes: Comparisons and Recent Advances Journal of Scientific Computing. ,vol. 27, pp. 377- 387 ,(2006) , 10.1007/S10915-005-9048-6
Yvon Maday, Dan Meiron, Anthony T. Patera, Einar M. Rønquist, Analysis of iterative methods for the steady and unsteady Stokes problem: application to spectral element discretizations SIAM Journal on Scientific Computing. ,vol. 14, pp. 310- 337 ,(1993) , 10.1137/0914020
Jie Shen, Li-Lian Wang, Huiyuan Li, A Triangular Spectral Element Method Using Fully Tensorial Rational Basis Functions SIAM Journal on Numerical Analysis. ,vol. 47, pp. 1619- 1650 ,(2009) , 10.1137/070702023
J. S. Hesthaven, From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex SIAM Journal on Numerical Analysis. ,vol. 35, pp. 655- 676 ,(1998) , 10.1137/S003614299630587X