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AN A POSTERIORI ERROR ESTIMATE FOR MIXED FINITE ELEMENT APPROXIMATIONS OF THE NAVIER-STOKES EQUATIONS

Abdeslam Elakkad|Ahmed Elkhalfi|Najib Guessous
대한수학회 (The Korean Mathematical Society)|2011.05|대한수학회지 (Journal of the KMS)|제48권 제3호|pp. 529-550

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참고문헌

키워드

mixed finite element methodincompressible Navier-Stokes equationsa posteriori error estimatesiterative solversAdina system
주제분류수학

초록

In this work, a numerical solution of the incompressible Navi-er-Stokes equations is proposed. The method suggested is based on an algorithm of discretization by mixed nite elements with a posteriori er-ror estimation of the computed solutions. In order to evaluate the per-formance of the method, the numerical results are compared with some previously published works or with others coming from commercial code like Adina system.

Abstract

In this work, a numerical solution of the incompressible Navi-er-Stokes equations is proposed. The method suggested is based on an algorithm of discretization by mixed nite elements with a posteriori er-ror estimation of the computed solutions. In order to evaluate the per-formance of the method, the numerical results are compared with some previously published works or with others coming from commercial code like Adina system.

참고문헌 (34)

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