Abstract
Residual based on a posteriori error estimates for conforming finite element solutions of incompressible Navier-Stokes equations with stream function, form which were computed with seven recently proposed two-level method were derived. The posteriori error estimates contained additional terms in comparison to the error estimates for the solution obtained by the standard finite element method. The importance of these additional terms in the error estimates was investigated by studying their asymptotic behavior. For optimal scaled meshes, these bounds are not of higher order than of convergence of discrete solution.
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Communicated by WU Qi-guang, Original Member of Editorial Committee, AMM
Foundation item: the National Natural Science Foundation of China (50136030, 10371096)
Biographies: REN Chun-feng (1972 ≈), Lecturer Doctor (E-mail:chfenren@yahoo.com.cn); MA Yi-chen, Professor
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Chun-feng, R., Yi-chen, M. Residual a posteriori error estimate two-grid methods for the steady Navier-Stokes equation with stream function form. Appl Math Mech 25, 546–559 (2004). https://doi.org/10.1007/BF02437603
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DOI: https://doi.org/10.1007/BF02437603
Key words
- two-level method
- Navier-Stokes equation
- residual a posteriori error estimate
- finite element method
- stream function form