13 citations · 34 across the 8 of their papers we have counts for
6 papers · 1 filter
Afternote to Coupling at a distance: convergence analysis and a priori error estimates
Nestor Sánchez, Tonatiuh Sánchez-Vizuet, Manuel E. Solano
In their article "Coupling at a distance HDG and BEM", Cockburn, Sayas and Solano proposed an iterative coupling of the hybridizable discontinuous Galerkin method (HDG) and the bou…
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…
Boundary integral formulations for transient linear thermoelasticity with combined-type boundary conditions
George C. Hsiao, Tonatiuh Sánchez-Vizuet
We study boundary integral formulations for an interior/exterior initial boundary value problem arising from the thermo-elasto-dynamic equations in a homogeneous and isotropic doma…
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…
Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid
Thomas S. Brown, Tonatiuh Sánchez-Vizuet, Francisco-Javier Sayas
We consider a model problem of the scattering of linear acoustic waves in free homogeneous space by an elastic solid. The stress tensor in the solid combines the effect of a linear…