Two‐Level Brezzi‐Pitkäranta Discretization Method Based on Newton Iteration for Navier‐Stokes Equations with Friction Boundary Conditions

Rong An and Xian Wang

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

Abstract: We present a new stabilized finite element method for Navier‐Stokes equations with friction slip boundary conditions based on Brezzi‐Pitkäranta stabilized method. The stability and error estimates of numerical solutions in some norms are derived for standard one‐level method. Combining the techniques of two‐level discretization method, we propose two‐level Newton iteration method and show the stability and error estimate. Finally, the numerical experiments are given to support the theoretical results and to check the efficiency of this two‐level iteration method.

Date: 2014
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https://doi.org/10.1155/2014/474160

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:474160

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