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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…
math.OC2023
An Assessment of the Supremizer and Aggregation Methods of Stabilization for Reduced-Order Models
Kayla D. Davie, Howard C. Elman
We explore the features of two methods of stabilization, aggregation and supremizer methods, for reduced-order modeling of parametrized optimal control problems. In both methods, t…