Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow
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Publication:1670420
DOI10.1007/s10444-017-9582-4zbMath1398.35146OpenAlexW2777690980MaRDI QIDQ1670420
Yuhong Zhang, Yin-Nian He, Hong-bo Wei, XiaoJing Dong
Publication date: 5 September 2018
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-017-9582-4
finite elementpartition of unity methodstationary incompressible magnetohydrodynamicslocal and parallel algorithm
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Parallel numerical computation (65Y05)
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Uses Software
Cites Work
- Unnamed Item
- Convergence of some finite element iterative methods related to different Reynolds numbers for the 2D/3D stationary incompressible magnetohydrodynamics
- A parallel Oseen-linearized algorithm for the stationary Navier-Stokes equations
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- Local and parallel finite element algorithm based on Oseen-type iteration for the stationary incompressible MHD flow
- Approximation of the inductionless MHD problem using a stabilized finite element method
- Newton iterative parallel finite element algorithm for the steady Navier-Stokes equations
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- New local and parallel finite element algorithm based on the partition of unity
- Local and parallel finite element algorithm based on the partition of unity for incompressible flows
- Local and parallel finite element algorithms for the Stokes problem
- Two-grid partition of unity method for second order elliptic problems
- Parallel iterative finite element algorithms based on full domain partition for the stationary Navier-Stokes equations
- A stable finite element for the Stokes equations
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- A numerical solution of the Navier-Stokes equations using the finite element technique
- The partition of unity finite element method: basic theory and applications
- A two-level discretization method for the stationary MHD equations
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
- A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D
- Local and parallel finite element algorithms for eigenvalue problems
- An expandable local and parallel two-grid finite element scheme
- Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics
- Robust preconditioners for incompressible MHD models
- Iterative methods in penalty finite element discretization for the steady MHD equations
- Local and Parallel Finite Element Algorithms Based on the Partition of Unity for the Stokes Problem
- Partition of unity refinement for local approximation
- Some mathematical questions related to the mhd equations
- On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- A Framework for Adaptive Multiscale Methods for Elliptic Problems
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem III. Smoothing Property and Higher Order Error Estimates for Spatial Discretization
- Finite element subspaces with optimal rates of convergence for the stationary Stokes problem
- THE PARTITION OF UNITY METHOD
- A conforming finite element method for overlapping and nonmatching grids
- Local and parallel finite element algorithms based on two-grid discretizations
- Local and parallel finite element algorithm for stationary incompressible magnetohydrodynamics
- Local and parallel finite element methods for the mixed Navier–Stokes/Darcy model
- A finite element method for magnetohydrodynamics
- Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems
- Adaptive numerical treatment of elliptic systems on manifolds
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