| MAXIMUM NORM ERROR ESTIMATES OF CROUZEIX-RAVIART NONCONFORMING FINITE ELEMENT APPROXIMATION OF NAVIER-STOKES PROBLEM |
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| 作者姓名： | Qing-ping Deng |
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| 作者单位： | Qing-ping Deng (Department of Mathematics，University of Tennessce，U.S.A) Xue-jun Xu (LSEC，Institute of Computational Mathematics，Chinese Academy of Sciences，P.O.Box 2719，Beijing 100080，China) Shu-min Shen (Department of Mathematics，University of |
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| 摘 要： | 1. IntroductionThere are many research works on finite element approximation of Navier-Stokesproblem in the case of lower Reynold number, by using the so-called velocity--pressuremixed by Teman 26], the optimal results were also obtained. The other nonconforming finiteelement schemes for Navie--Stokes problem may be found in 4,8,9,14,15,23,26]. But sofar, maximum norm error estimates for any nonconforming finite element schemes werenot considered.Recently, the quasi--optimal maximum norm …
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MAXIMUM NORM ERROR ESTIMATES OF CROUZEIX-RAVIART NONCONFORMING FINITE ELEMENT APPROXIMATION OF NAVIER-STOKES PROBLEM |
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| Qing-ping Deng.MAXIMUM NORM ERROR ESTIMATES OF CROUZEIX-RAVIART NONCONFORMING FINITE ELEMENT APPROXIMATION OF NAVIER-STOKES PROBLEM[J].Journal of Computational Mathematics,2000(2). |
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| Authors: | Qing-ping Deng |
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| Abstract: | This paper deals with Crouzeix-Raviart nonconforming finite element approximation of Navier--Stokes equation in a plane bounded domain, by using the so-called velocity-pressure mixed formulation. The quasi-optimal maximum norm error estimates of the velocity and its first derivatives and of the pressure are derived for nonconforming C-R scheme of stationary Navier-Stokes problem. The analysis is based on the weighted inf--sup condition and the technique of weighted Sobolev norm. By the ways the optimal L~2-error estimate for nonconforming finite element approximation is obtained. |
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| Keywords: | Navier-Stokes problem P1 nonconforming element Maximum Norm |
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