1 citations · 1 across the 5 of their papers we have counts for
5 papers
A symmetric boundary integral formulation for time-domain acoustic-elastic scattering
Tonatiuh Sánchez-Vizuet
A symmetric boundary integral formulation for the transient scattering of acoustic waves off homogeneous and isotropic elastic obstacles is analyzed. Both the acoustic scattered fi…
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…
A boundary integral equation formulation for transient electromagnetic transmission problems on Lipschitz domains
Tonatiuh Sánchez-Vizuet
We propose a boundary integral formulation for the dynamic problem of electromagnetic scattering and transmission by homogeneous dielectric obstacles. In the spirit of Costabel and…
Boundary-field formulation for transient electromagnetic scattering by dielectric scatterers and coated conductors
George C. Hsiao, Tonatiuh Sánchez-Vizuet, Wolfgang L. Wendland
We examine the transient scattered and transmitted fields generated when an incident electromagnetic wave impinges on a dielectric scatterer or a coated conductor embedded in an in…
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…