Tokamak free-boundary plasma equilibrium computation using finite elements of class \(\mathcal{C}^0\) and \(\mathcal{C}^1\) within a mortar element approach

DOI10.1016/j.jcp.2021.110388OpenAlexW3130487687WikidataQ114163458 ScholiaQ114163458MaRDI QIDQ2129274

Ali Elarif, Francesca Rapetti, Blaise Faugeras

Publication date: 22 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110388

zbMATH Keywords

inverse problemequilibriumNewton methodtokamakgeometrical coefficientsreduced Hsieh-Clough-Tocher finite element

Mathematics Subject Classification ID

Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)

Related Items (1)

Tokamak free-boundary plasma equilibrium computations in presence of non-linear materials

Uses Software

• Triangle
• CEDRES++

Cites Work

• On an equilibrium of the plasma in a Tokamak with a limiter
• A finite element method with overlapping meshes for free-boundary axisymmetric plasma equilibria in realistic geometries
• FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains
• A triangular finite element with first-derivative continuity applied to fusion MHD applications
• The mortar element method with locally nonconforming elements
• Artificial boundary conditions for axisymmetric eddy current probe problems
• A Slideing Mesh-Mortar Method for a two Dimensional Currents Model of Electric Engines
• Computational Methods in Plasma Physics
• Basics and some applications of the mortar element method
• On a free boundary problem arising in plasma physics
• Moderate Degree Symmetric Quadrature Rules for the Triangle
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• A High Order Method for the Approximation of Integrals Over Implicitly Defined Hypersurfaces
• Magnetohydrodynamics of Laboratory and Astrophysical Plasmas
• Existence and Control of Plasma Equilibrium in a Tokamak
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