期刊文献+

NONLINEAR GALERKIN METHOD FOR THE EXTERIORNONSTATIONARY NAVIER-STOKES EQUATIONS

NONLINEAR GALERKIN METHOD FOR THE EXTERIORNONSTATIONARY NAVIER-STOKES EQUATIONS
下载PDF
导出
摘要 A new algorithm combining nonlinear Galerkin method and coupling method of finite element and boundary element is introduced to solve the exterior nonstationary Navier-Stokes equations. The regularity of the coupling variational formulation and the convergence of the approximate solution corresponding to the algorithm are proved. If the fine mesh h is chosen as coarse mesh H-square, the nonlinear Galerkin method, nonlinearity is only treated on the coarse grid and linearity is treated on the fine grid. Hence, the new algorithm can save a large amount of computational time. A new algorithm combining nonlinear Galerkin method and coupling method of finite element and boundary element is introduced to solve the exterior nonstationary Navier-Stokes equations. The regularity of the coupling variational formulation and the convergence of the approximate solution corresponding to the algorithm are proved. If the fine mesh h is chosen as coarse mesh H-square, the nonlinear Galerkin method, nonlinearity is only treated on the coarse grid and linearity is treated on the fine grid. Hence, the new algorithm can save a large amount of computational time.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2002年第11期1282-1291,共10页 应用数学和力学(英文版)
基金 theSpecialFundsfortheStateMajorBasicResearchProjects(G1 9990 3 2 80 1-0 7) theNSFofChina ( 1 9971 0 67) theNSFofShaanxiProvince ( 99SL0 5) theSRFforROCSofSEM( [1 999]747)
关键词 Boundary element method Convergence of numerical methods Finite element method Galerkin methods Nonlinear equations Variational techniques Boundary element method Convergence of numerical methods Finite element method Galerkin methods Nonlinear equations Variational techniques
  • 相关文献

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部