Analysis of an unconditionally convergent stabilized finite element formulation for incompressible magnetohydrodynamics
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Publication:338758
DOI10.1007/s11831-014-9129-5zbMath1348.76097OpenAlexW2166287567WikidataQ113323523 ScholiaQ113323523MaRDI QIDQ338758
Ramon Codina, Santiago Badia, Ramon Planas
Publication date: 7 November 2016
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2117/81011
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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)
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Cites Work
- Unnamed Item
- A combined nodal continuous-discontinuous finite element formulation for the Maxwell problem
- A mixed DG method for linearized incompressible magnetohydrodynamics
- Approximation of the thermally coupled MHD problem using a stabilized finite element method
- A mixed finite element method with exactly divergence-free velocities for incompressible magnetohydrodynamics
- Eigenvalue enclosures and convergence for the linearized MHD operator
- A multivariate Powell-Sabin interpolant
- Stabilized finite element approximation of the stationary magneto-hydrodynamics equations
- Time dependent subscales in the stabilized finite element approximation of incompressible flow problems
- Solving electromagnetic eigenvalue problems in polyhedral domains with nodal finite elements
- A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers
- A coercive bilinear form for Maxwell's equations
- Long-term dissipativity of time-stepping algorithms for an abstract evolution equation with applications to the incompressible MHD and Navier-Stokes 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
- Theory and practice of finite elements.
- Mixed finite element approximation of incompressible MHD problems based on weighted regularization
- On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
- Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
- Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods
- An Introduction to Magnetohydrodynamics
- A New Approximate Block Factorization Preconditioner for Two-Dimensional Incompressible (Reduced) Resistive MHD
- A subgrid stabilization finite element method for incompressible magnetohydrodynamics
- Finite element approximation of eigenvalue problems
- A Nodal-based Finite Element Approximation of the Maxwell Problem Suitable for Singular Solutions
- Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
- Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
- 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
- An overview of the Trilinos project
- The Local $L^2$ Projected $C^0$ Finite Element Method for Maxwell Problem
- Unified Stabilized Finite Element Formulations for the Stokes and the Darcy Problems
- Two-level finite element method with a stabilizing subgrid for the incompressible MHD equations
- Mixed and Hybrid Finite Element Methods
- Piecewise Quadratic Approximations on Triangles
- Vector potentials in three-dimensional non-smooth domains
- A conservative stabilized finite element method for the magneto-hydrodynamic equations
- On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
- Finite Element Methods for Maxwell's Equations
- A new approximation technique for div-curl systems
- The approximation of the Maxwell eigenvalue problem using a least-squares method
- A finite element method for magnetohydrodynamics
