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20152022
most citedA Hybridizable Discontinuous Galerkin solver for the Grad-Shafranov equation

15 citations · 27 across the 7 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NA2019

A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems

Nestor Sánchez, Tonatiuh Sánchez-Vizuet, Manuel E. Solano

We present a priori and a posteriori error analysis of a high order hybridizable discontinuous Galerkin (HDG) method applied to a semi-linear elliptic problem posed on a piecewise…

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…