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physics.comp-ph2019★ 12 cited
Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains
Tonatiuh Sánchez-Vizuet, Manuel E. Solano, Antoine J. Cerfon
We propose a high-order adaptive numerical solver for the semilinear elliptic boundary value problem modelling magnetic plasma equilibrium in axisymmetric confinement devices. In t…
physics.comp-ph2017★ 15 cited
A Hybridizable Discontinuous Galerkin solver for the Grad-Shafranov equation
Tonatiuh Sánchez-Vizuet, Manuel Solano
In axisymmetric fusion reactors, the equilibrium magnetic configuration can be expressed in terms of the solution to a semi-linear elliptic equation known as the Grad-Shafranov equ…