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Axisymmetric stokes exterior problem and its numerical computation
Authors:Neng-sheng Fang  Cai-xiu Liao
Institution:Neng-sheng Fang 1,2,Cai-xiu Liao 3 1 School of Finance,Southwestern University of Finance and Economics,Chengdu,Sichuan 611130,China 2 School of Mathematical Sciences,Xiamen University,Fujian 361005,China 3 School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China
Abstract:We establish variational formulation and prove the existence and uniqueness of the three dimensional axisymmetric Stokes exterior problem in weighted spaces.Error estimates and convergence for P2-P0 elements with infinite element methods are also obtained.Numerical experiments are presented to verify the theoretical analysis.
Keywords:Axisymmetric flow  Stokes equation  exterior problem  infinite element method  
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