Parallel finite element algorithm based on full domain partition for stationary Stokes equations

DOI10.1007/s10483-010-0512-xzbMath1378.76054OpenAlexW1989373980MaRDI QIDQ605152

Yue-qiang Shang, Yin-Nian He

Publication date: 23 November 2010

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-010-0512-x

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)

Related Items (14)

Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system ⋮ Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations ⋮ A local and parallel Uzawa finite element method for the generalized Navier-Stokes equations ⋮ On the convergence of an optimal additive Schwarz method for parallel adaptive finite elements ⋮ A parallel stabilized quadratic equal-order finite element algorithm for the steady Navier–Stokes equations ⋮ Local and parallel finite element algorithms based on charge-conservation approximation for the stationary inductionless magnetohydrodynamic problem ⋮ A parallel grad-div stabilized finite element algorithm for the Stokes equations with damping ⋮ Local and parallel stabilized finite element methods based on two-grid discretizations for the Stokes equations ⋮ A parallel subgrid stabilized finite element method based on fully overlapping domain decomposition for the Navier-Stokes equations ⋮ A parallel stabilized finite element method based on the lowest equal-order elements for incompressible flows ⋮ Parallel iterative stabilized finite element algorithms based on the lowest equal-order elements for the stationary Navier-Stokes equations ⋮ A parallel, non-spatial iterative, and rotational pressure projection method for the nonlinear fluid-fluid interaction ⋮ A parallel finite element variational multiscale method based on fully overlapping domain decomposition for incompressible flows ⋮ An optimal Schwarz preconditioner for a class of parallel adaptive finite elements

Uses Software

• PHAML

Cites Work

• Unnamed Item
• Local and parallel finite element algorithms for the Stokes problem
• Finite element methods (Part 1)
• The full domain partition approach to distributing adaptive grids
• Finite Element Methods for Navier-Stokes Equations
• Parallel Adaptive Multilevel Methods with Full Domain Partitions

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