Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad–Shafranov equation by extension from polygonal subdomains

In this work, we propose a high-order adaptive numerical solver for the semilinear elliptic boundary value problem modeling magnetic plasma equilibrium in axisymmetric confinement devices. In the fixed boundary case, the equation is posed on curved domains with piecewise smooth curved boundaries tha...

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Veröffentlicht in:	Computer physics communications 2020-03, Vol.255 (C)
Hauptverfasser:	Sánchez-Vizuet, Tonatiuh, Solano, Manuel E., Cerfon, Antoine J.
Format:	Artikel
Sprache:	eng
Schlagworte:	Adaptive Hybridizable Discontinuous Galerkin (HDG) CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Computer Science Curved boundaries Local mesh refinement MATHEMATICS AND COMPUTING Physics Plasma Equilibrium Residual error estimator Un-fitted mesh
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