標題: A posteriori least-squares finite element error analysis for the Navier-Stokes equations
作者: Jou, J
Liu, JL
應用數學系
Department of Applied Mathematics
公開日期: 1-Feb-2003
摘要: A residual type a posteriori error estimator is presented for the least-squares finite element solution of stationary incompressible Navier-Stokes equations based on the velocity-vorticity-pressure formulation with nonstandard and standard boundary conditions. Using the coerciveness of the corresponding Stokes operator and the special feature of the nonlineariry of the formulation, it is shown that,the error estimator is exact for the Stokes problem and is asymptotically exact for the Navier-Stokes problem in an energy-like norm. The resulting adaptive method is highly parallel because it does not require to assemble the global, matrix and the error estimation can be completely localized without using any information from neighboring elements.
URI: http://hdl.handle.net/11536/28145
ISSN: 0163-0563
期刊: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
Volume: 24
Issue: 1-2
起始頁: 67
結束頁: 74
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