Divergence-free \(\mathbf{\mathcal{H}}(\mathbf{div})\)-conforming hierarchical bases for magnetohydrodynamics (MHD)

DOI10.1007/s40304-013-0003-9zbMath1311.76048arXiv1210.5575OpenAlexW1986279076MaRDI QIDQ375663

Wei Cai, Jianguo Xin, Jian Wu

Publication date: 31 October 2013

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5575

zbMATH Keywords

hierarchical bases\(\mathbf{\mathcal{H}}(\mathbf{div})\)-conforming elementsdivergence-free condition

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (10)

A graph approach for the construction of high order divergence-free Raviart-Thomas finite elements ⋮ Spectral method for Navier-Stokes equations with non-slip boundary conditions by using divergence-free base functions ⋮ Spectral method for vorticity-stream function form of Navier-Stokes equations in an infinite channel with slip boundary conditions ⋮ Two‐level stabilized finite volume method for the stationary incompressible magnetohydrodynamic equations ⋮ An efficient construction of divergence-free spaces in the context of exact finite element de Rham sequences ⋮ Convergence Analysis of Some Finite Element Parallel Algorithms for the Stationary Incompressible Mhd Equations ⋮ Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models ⋮ A global divergence conforming DG method for hyperbolic conservation laws with divergence constraint ⋮ A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains ⋮ Uniform stability and convergence with respect to \((\nu, \mu, s, 1-\sigma)\) of the three iterative finite element solutions for the 3D steady MHD equations

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