Stability and convergence of some parallel iterative subgrid stabilized algorithms for the steady Navier-Stokes equations

DOI10.1007/s10444-022-09950-6zbMath1496.76089OpenAlexW4281943773MaRDI QIDQ2673505

Yanyan Li

Publication date: 10 June 2022

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-022-09950-6

zbMATH Keywords

subgrid-scale modelelliptic projectionfully overlapping domain decompositionparallel Newton algorithmparallel Picard algorithmparallel Stokes algorithm

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element methods applied to problems in fluid mechanics (76M10) Parallel numerical computation (65Y05)

Uses Software

• FreeFem++

Cites Work

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• A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations
• A parallel subgrid stabilized finite element method based on two-grid discretization for simulation of 2D/3D steady incompressible flows
• Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids
• Finite element approximation of the Navier-Stokes equations
• Newton iterative parallel finite element algorithm for the steady Navier-Stokes equations
• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• Parallel iterative stabilized finite element methods based on the quadratic equal-order elements for incompressible flows
• Local and parallel finite element algorithm based on the partition of unity for incompressible flows
• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Local and parallel finite element algorithms for the Stokes problem
• Assessment of subgrid-scale models for the incompressible Navier-Stokes equations
• Local and parallel finite element algorithms based on two-grid discretizations for the transient Stokes equations
• Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equations
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
• A parallel partition of unity scheme based on two-grid discretizations for the Navier-Stokes problem
• Local and parallel finite element algorithms for the transmission eigenvalue problem
• The multilevel mixed finite element discretizations based on local defect-correction for the Stokes eigenvalue problem
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• A connection between subgrid scale eddy viscosity and mixed methods
• Parallel iterative stabilized finite element algorithms based on the lowest equal-order elements for the stationary Navier-Stokes equations
• Two-step algorithms for the stationary incompressible Navier-Stokes equations with friction boundary conditions
• A new two-level defect-correction method for the steady Navier-Stokes equations
• A parallel stabilized finite element variational multiscale method based on fully overlapping domain decomposition for the incompressible Navier-Stokes equations
• Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers
• A parallel subgrid stabilized finite element method based on fully overlapping domain decomposition for the Navier-Stokes equations
• A two-level subgrid stabilized Oseen iterative method for the steady Navier-Stokes equations
• A New Paradigm for Parallel Adaptive Meshing Algorithms
• Local and Parallel Finite Element Algorithms Based on the Partition of Unity for the Stokes Problem
• A postprocessing mixed finite element method for the Navier–Stokes equations
• Finite Element Methods for Navier-Stokes Equations
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Parallel Adaptive Multilevel Methods with Full Domain Partitions
• A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations
• New development in freefem++
• Local and parallel finite element algorithms based on two-grid discretizations
• Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
• Local and parallel finite element algorithm for stationary incompressible magnetohydrodynamics
• A quadratic equal‐order stabilized method for Stokes problem based on two local Gauss integrations
• Subgrid Stabilized Defect Correction Methods for the Navier–Stokes Equations
• Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems
• A simplified two‐level subgrid stabilized method with backtracking technique for incompressible flows at high Reynolds numbers

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