FEM-BEM coupling methods for tokamak plasma axisymmetric free-boundary equilibrium computations in unbounded domains

DOI10.1016/j.jcp.2017.04.047zbMath1380.78003OpenAlexW2607504687MaRDI QIDQ1693447

Holger Heumann, Blaise Faugeras

Publication date: 31 January 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.04.047

zbMATH Keywords

Grad-Shafranov equationFEM-BEM couplingfree-boundary equilibrium

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Electro- and magnetostatics (78A30)

Related Items (7)

Tokamak free-boundary plasma equilibrium computation using finite elements of class \(\mathcal{C}^0\) and \(\mathcal{C}^1\) within a mortar element approach ⋮ Surrogate approximation of the Grad-Shafranov free boundary problem via stochastic collocation on sparse grids ⋮ A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem ⋮ A free-boundary equilibrium solver with a hybrid iteration method in a semi-bounded computational domain ⋮ Automating the design of tokamak experiment scenarios ⋮ A Parallel Cut-Cell Algorithm for the Free-Boundary Grad--Shafranov Problem ⋮ Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM-BEM

Uses Software

• Matlab
• UMFPACK
• iFEM
• CEDRES++
• CREATE-NL+
• CLISTE
• LIUQE

Cites Work

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• An efficient way to assemble finite element matrices in vector languages
• Reconstruction of the equilibrium of the plasma in a tokamak and identification of the current density profile in real time
• Coupling of finite elements and boundary elements for some nonlinear interface problems
• Computation of MHD equilibrium of tokamak plasma
• Experimental convergence rates for various couplings of boundary and finite elements
• The uncoupling of boundary integral and finite element methods for nonlinear boundary value problems
• Boundary element modelling to solve the Grad-Shafranov equation as an axisymmetric problem
• Computational Methods in Plasma Physics
• A FEM/BEM for axisymmetric electromagnetic and thermal modelling of induction furnaces
• An exterior interface problem in two-dimensional elastodynamics
• On the Coupling of Boundary Integral and Finite Element Methods
• Optimal Order Multigrid Methods for Solving Exterior Boundary Value Problems
• Coupling of Finite Elements and Boundary Elements in Electromagnetic Scattering
• The Validity of Johnson--Nédélec's BEM--FEM Coupling on Polygonal Interfaces
• Coupling of Finite and Boundary Element Methods for an Elastoplastic Interface Problem
• Boundary Element Methods

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