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

Rong An and Xian Wang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/698354

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:698354

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