| Long-time Convergence of Numerical Approximations for Semilinear Parabolic Equations （ Ⅱ ） |
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| 引用本文： | 武海军,李荣华.Long-time Convergence of Numerical Approximations for Semilinear Parabolic Equations （ Ⅱ ）[J].东北数学,2001,17(1):75-84. |
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| 作者姓名： | 武海军 李荣华 |
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| 作者单位： | WU Hai jun (Department of Mathematics，Jilin University，Changchun，130012; Labortory of Computational Physics，Institute of Applied Physics & Computational Mathematics，T.O. Box 8009，Beijing，100088 |
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| 摘 要： | In this article we extend ours framework of long-time convergence for numeracal approximations of semihnear parabolic equations prorided in “Wu Haijun and Li Ronghua, Northeast. Math. J. , 16( 1 )(2000), 1-28“, to the Gauss-Ledendre full discretization. When apply the result to the CrankNicholson finiteelement full discretization of the Navier-Stokes equations, we can remore the grid-ratio restriction of “Heywood, J. G. and Rannaeher, R., SIAM J. Numer. Anal., 27(1990), 353-384“,and weaken the stability condition on the continuous solution.
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| 关 键 词： | 长期收敛 拟线性抛物线方程 Gauss-Legendre法 数字渐进性 |
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