IMD BASED NONLINEAR GALERKIN METHOD

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IMD BASED NONLINEAR GALERKIN METHOD

By taking example of the 2D Navier-Stokes equations, a kind of improved version of the nonlinear Galerkin method of Marion- Temam type based on the new concept of the inertial manifold with delay (IMD) is presented, which is focused on overcoming the defect that the feasibility of the M- T type nonlinear Galerkin method heavily depended on the least solving scale. It is shown that the improved version can greatly reduce the feasible conditiors as well as preserve the superiority of the former version. Therefore, the version obtained here is an applicable, high performance and stable algorithm.水利论文2HBI/H ^$Pc

作 者: 侯延仁 李开泰  
作者单位:College of Science, Xi' an Jiaotong University, Xi' an 710049, P.R. China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2003 24(3) 
分类号:O241.82 
关键词:nonlinear Galerkin method   inertial manifold with delay   Navier-Stokesequation  
机标关键词:nonlinear Galerkin methodinertial manifold with delaymethod of 
基金项目:国家自然科学基金,国家重点基础研究发展计划(973计划) 
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