Convergence analysis and error estimates for a parallel algorithm for solving the Navier-Stokes equations

DOI10.1007/s002110100383zbMath1023.76019OpenAlexW1979880895MaRDI QIDQ1864500

Enrique Fernández-Cara, Isidoro I. Albarreal Núñez, José R. Galo Sánchez, M. Carmen Calzada Canalejo, José Luis Cruz Soto, Mercedes Marín Beltrán

Publication date: 18 March 2003

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110100383

zbMATH Keywords

convergenceerror estimatesincompressible Navier-Stokes equationsnonlinearityparallel algorithmincompressibilitysplitting method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Simultaneous directions parallel methods for elliptic and parabolic systems ⋮ A simultaneous directions parallel algorithm for the Navier--Stokes equations ⋮ Convergence analysis of an implicit fractional-step method for the incompressible Navier-Stokes equations ⋮ Convergence and optimization of the parallel method of simultaneous directions for the solution of elliptic problems ⋮ A fictitious domain, parallel numerical method for rigid particulate flows ⋮ The convergence of a new parallel algorithm for the Navier-Stokes equations

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