Two-Level Brezzi-Pitkäranta Stabilized Finite Element Methods for the Incompressible Flows

Rong An and Xian Wang

Abstract and Applied Analysis, 2014, vol. 2014, 1-14

Abstract:

We present a new stabilized finite element method for incompressible flows based on Brezzi-Pitkäranta stabilized method. The stability and error estimates of finite element solutions are derived for classical one-level method. Combining the techniques of two-level discretizations, we propose two-level Stokes/Oseen/Newton iteration methods corresponding to three different linearization methods and show the stability and error estimates of these three methods. We also propose a new Newton correction scheme based on the above two-level iteration methods. Finally, some numerical experiments are given to support the theoretical results and to check the efficiency of these two-level iteration methods.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:698354

DOI: 10.1155/2014/698354

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