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Error Estimates for Finite-Element Navier-Stokes Solvers without Standard Inf-Sup Conditions

Error Estimates for Finite-Element Navier-Stokes Solvers without Standard Inf-Sup Conditions
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摘要 The authors establish error estimates for recently developed finite-element methods for incompressible viscous flow in domains with no-slip boundary conditions.The methods arise by discretization of a well-posed extended Navier-Stokes dynamics for which pressure is determined from current velocity and force fields.The methods use C1 elements for velocity and C0 elements for pressure.A stability estimate is proved for a related finite-element projection method close to classical time-splitting methods of Orszag,Israeli,DeVille and Karniadakis.
作者 Robert L.PEGO
机构地区 Department of Mathematical Sciences and Center for Nonlinear Analysis
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2009年第6期743-768,共26页 数学年刊（B辑英文版）
基金 Project supported by the National Science Foundation (Nos.DMS 06-04420 (RLP),DMS 08-11177(JGL)) the Center for Nonlinear Analysis (CNA) under National Science Foundation Grant (Nos.0405343,0635983)
关键词 Time-dependent incompressible flow Projection method Backward facing step Driven cavity Stokes pressure Leray projection Obtuse corner Recycling Stokes方程 误差估计 域元素 有限元 Inf文件 求解器 标准 滑移边界条件
分类号 O241.82 [理学—计算数学]
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参考文献27

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Chinese Annals of Mathematics,Series B
2009年 第6期

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