A fully discrete Calderón calculus for the two-dimensional elastic wave equation. - Víctor Domínguez; Tonatiuh Sánchez-Vizuet; Francisco-Javier Sayas (Comput. Math. Appl., 2015)

Symmetric Boundary-Finite Element Discretization of Time Dependent Acoustic Scattering by Elastic Obstacles with Piezoelectric Behavior. - Tonatiuh Sánchez-Vizuet; Francisco-Javier Sayas (J. Sci. Comput., 2017)

Time-Domain Boundary Integral Methods in Linear Thermoelasticity. - George C. Hsiao; Tonatiuh Sánchez-Vizuet; Francisco-Javier Sayas (CoRR, 2019)

A Hybridizable Discontinuous Galerkin solver for the Grad-Shafranov equation. - Tonatiuh Sánchez-Vizuet; Manuel E. Solano (Comput. Phys. Commun., 2019)

Adaptive Hybridizable Discontinuous Galerkin discretization of the Grad-Shafranov equation by extension from polygonal subdomains. - Tonatiuh Sánchez-Vizuet; Manuel E. Solano; Antoine J. Cerfon (Comput. Phys. Commun., 2020)

Time-Domain Boundary Integral Methods in Linear Thermoelasticity. - George C. Hsiao; Tonatiuh Sánchez-Vizuet (SIAM J. Math. Anal., 2020)

Time-Dependent Wave-Structure Interaction Revisited: Thermo-piezoelectric Scatterers. - George C. Hsiao; Tonatiuh Sánchez-Vizuet (CoRR, 2021)

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 (Numerische Mathematik, 2021)

Boundary Integral Formulations for Transient Linear Thermoelasticity with Combined-Type Boundary Conditions. - George C. Hsiao; Tonatiuh Sánchez-Vizuet (SIAM J. Math. Anal., 2021)

Afternote to "Coupling at a Distance": Convergence Analysis and A Priori Error Estimates. - Nestor Sánchez; Tonatiuh Sánchez-Vizuet; Manuel E. Solano (Comput. Methods Appl. Math., 2022)

A boundary-field formulation for elastodynamic scattering. - George C. Hsiao; Tonatiuh Sánchez-Vizuet; Wolfgang L. Wendland (CoRR, 2022)

Surrogate approximation of the Grad-Shafranov free boundary problem via stochastic collocation on sparse grids. - Howard C. Elman; Jiaxing Liang; Tonatiuh Sánchez-Vizuet (J. Comput. Phys., 2022)

Error Analysis of an Unfitted HDG Method for a Class of Non-linear Elliptic Problems. - Nestor Sánchez; Tonatiuh Sánchez-Vizuet; Manuel E. Solano (J. Sci. Comput., 2022)

A boundary integral equation formulation for transient electromagnetic transmission problems on Lipschitz domains. - Tonatiuh Sánchez-Vizuet (CoRR, 2024)

Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem. - Howard C. Elman; Jiaxing Liang; Tonatiuh Sánchez-Vizuet (Comput. Phys. Commun., 2024)

Boundary-Field Formulation for Transient Electromagnetic Scattering by Dielectric Scatterers and Coated Conductors. - George C. Hsiao; Tonatiuh Sánchez-Vizuet; Wolfgang L. Wendland (SIAM J. Math. Anal., 2025)

Surrogate-based multilevel Monte Carlo methods for uncertainty quantification in the Grad-Shafranov free boundary problem. - Howard C. Elman; Jiaxing Liang; Tonatiuh Sánchez-Vizuet (CoRR, 2025)

A symmetric boundary integral formulation for time-domain acoustic-elastic scattering. - Tonatiuh Sánchez-Vizuet (CoRR, 2025)

A coupled HDG discretization for the interaction between acoustic and elastic waves. - Fernando Artaza-Covarrubias; Tonatiuh Sánchez-Vizuet; Manuel E. Solano (CoRR, 2025)