Isogeometric Analysis of the Steady-State Incompressible MHD Equations

DOI10.1137/18M1182401zbMath1411.76174OpenAlexW2936779309MaRDI QIDQ4632001

Ji Soo Ahn, M. J. Bluck

Publication date: 25 April 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1182401

zbMATH Keywords

MHDsteady-stateincompressibleisogeometric

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

Isogeometric analysis of the time-dependent incompressible MHD equations

Uses Software

• ISOGAT

Cites Work

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• High-order central ENO finite-volume scheme for ideal MHD
• The velocity profile of laminar MHD flows in circular conducting pipes
• A hierarchical approach to adaptive local refinement in isogeometric analysis
• Isogeometric analysis using LR B-splines
• Isogeometric analysis in electromagnetics: B-splines approximation
• Isogeometric analysis using T-splines
• Isogeometric shell analysis: the Reissner-Mindlin shell
• Isogeometric analysis of the isothermal Navier-Stokes-Korteweg equations
• Isogeometric analysis of the Navier-Stokes equations with Taylor-Hood B-spline elements
• Isogeometric methods for computational electromagnetics: B-spline and T-spline discretizations
• Isogeometric fluid-structure interaction: Theory, algorithms, and computations
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• On the rotation and skew-symmetric forms for incompressible flow simulations
• Isogeometric analysis of structural vibrations
• Stabilized finite element approximation of the stationary magneto-hydrodynamics equations
• Skew-selfadjoint form for systems of conservation laws
• A coercive bilinear form for Maxwell's equations
• Mixed finite element methods for stationary incompressible magneto-hydrodynamics
• A stabilized finite element method for the incompressible magnetohydrodynamic equations
• Weighted regularization of Maxwell equations in polyhedral domains. A rehabilitation of Nodal finite elements
• Singularities of electromagnetic fields in polyhedral domains
• Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG
• On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
• Duct flow in magnetohydrodynamics
• Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
• Isogeometric Discrete Differential Forms in Three Dimensions
• IsoGeometric Analysis: Stable elements for the 2D Stokes equation
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Mixed and Hybrid Finite Element Methods
• A High-Order Finite Difference WENO Scheme for Ideal Magnetohydrodynamics on Curvilinear Meshes
• Isogeometric Analysis
• ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONS
• ISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE STEADY NAVIER–STOKES EQUATIONS
• On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
• Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations
• Singularities of Hartmann layers

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