13 citations · 34 across the 8 of their papers we have counts for
3 papers · 1 filter
Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids
Howard C. Elman, Jiaxing Liang, Tonatiuh Sánchez-Vizuet
In magnetic confinement fusion devices, the equilibrium configuration of a plasma is determined by the balance between the hydrostatic pressure in the fluid and the magnetic forces…
Error analysis of an unfitted HDG method for a class of non-linear elliptic problems
Nestor Sánchez, Tonatiuh Sánchez-Vizuet, Manuel E. Solano
We study Hibridizable Discontinuous Galerkin (HDG) discretizations for a class of non-linear interior elliptic boundary value problems posed in curved domains where both the source…
Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers
George C. Hsiao, Tonatiuh Sánchez-Vizuet
In this paper, we are concerned with a time-dependent transmission problem for a thermo-piezoelectric elastic body immersed in a compressible fluid. It is shown that the problem ca…