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马逸尘, 李功胜
数学物理学报,2000,20(1):48~57,-0001,():
-1年11月30日
研究热传导方程在一类非局部时间的边界条件下非线性热源的反演问题,文中应用Sobolev紧性方法证明了热源在Hōlder空间中的(关于时间的)局部存在性。
热传导, 反问题.非线性热源, Hōlder空间.
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【期刊论文】A TWO-GRID METHOD FOR THE STEADY PENALIZED NAVIER-STOKES EQUATIONS ※1)
马逸尘, Chun-feng Rcn, Yi chen Ma
Journal of Computational Mathematics, Vol. 22. No.1, 2004, 101-112,-0001,():
-1年11月30日
A two-grid method for the steady penalized incomprcssiblc Navicr-Stokes equations is presented. Convergence results arc proved. If h=O(h3-s) and ∈=O(H5-2s) (s=0 (n=2); s=1/2 (n=3)) arc chosen, the convcrgcnce order of this two-grid method is the same as that of the usual finite element method. Numerical results show that this method is efficient and can save a lot of computation time.
Penalized Navicr-Stokes equations, Two-grid method, Error estimate, Numer-ical test.,
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