Quasi-radial basis functions applied to boundary element solutions for the Grad-Shafranov equation

DOI10.1016/j.enganabound.2009.05.003zbMath1244.76046OpenAlexW2056669232MaRDI QIDQ443599

Hisataka Tanaka, Masafumi Itagaki, Kenji Nakada, Arimitsu Wakasa

Publication date: 7 August 2012

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2009.05.003

zbMATH Keywords

plasmanonlinear optimizationboundary integral equationaxisymmetricscaling factornuclear fusionGaussian functionGradquasi-radial basis functionShafranov equation

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (1)

Computation of fixed boundary tokamak equilibria using a method based on approximate particular solutions

Uses Software

• Regularization tools
• UTV

Cites Work

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• Hyper singular boundary element formulation for the Grad-Shafranov equation as an axisymmetric problem
• Boundary element modelling to solve the Grad-Shafranov equation as an axisymmetric problem
• Radial Basis Functions
• A Family of Variable-Metric Methods Derived by Variational Means
• A new approach to variable metric algorithms
• The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations
• Conditioning of Quasi-Newton Methods for Function Minimization

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