| Abstract: |
| This talk presents dual-robust iterative algorithms for the 2D/3D steady thermally coupled inductionless magnetohydrodynamics system in a general Lipschitz domain. Both velocity and current density are discretized by the divergence-conforming elements. Furthermore, we utilize an interior penalty discontinuous Galerkin (IPDG) approach to guarantee the H^1-continuity of velocity. With the system strong nonlinearity, we propose three iterative algorithms (Stokes, Newton and Oseen iterations) and provide analytical proofs for their stability and convergence. And the feature of these methods is that simultaneously ensures the complete divergence-free of discrete velocity and discrete current density. Finally, the numerical simulations verify theoretical analysis and the effectiveness of proposed algorithms. |
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