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physics.comp-ph2025
Surrogate-based multilevel Monte Carlo methods for uncertainty quantification in the Grad-Shafranov free boundary problem
Howard Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
We explore a hybrid technique to quantify the variability in the numerical solutions to a free boundary problem associated with magnetic equilibrium in axisymmetric fusion reactors…
physics.comp-ph2023
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem
Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
The equilibrium configuration of a plasma in an axially symmetric reactor is described mathematically by a free boundary problem associated with the celebrated Grad--Shafranov equa…