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Tonatiuh Sanchez-Vizuet
Member of the Graduate Faculty | Assistant Professor, Mathematics
Mathematics
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Overview
Research
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Grants
(1)
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Publications
(24)
Recent
A boundary integral equation formulation for transient electromagnetic transmission problems on Lipschitz domains
2024
formulation
Boundary-field formulation for transient electromagnetic scattering by dielectric scatterers and coated conductors
2024
electromagnetic scattering,
dielectric materials
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem
2024
monte carlo methods,
grad-shafranov,
multilevel methods,
free boundary problem,
numerical analysis
A Boundary-Field Formulation for Elastodynamic Scattering
2023
boundary-field formulation,
elastodynamic scattering
Afternote to “Coupling at a Distance”: Convergence Analysis and A Priori Error Estimates
2022
numerical analysis,
error estimation,
convergence analysis,
mathematical modeling,
computational mathematics
High Performance Equilibrium Solvers for Integrated Magnetic Fusion Simulations
2022
magnetic fusion,
equilibrium solvers,
high performance computing,
integrated simulations,
plasma physics
Boundary integral formulations for transient linear thermoelasticity with combined- type boundary conditions
2021
thermoelasticity,
boundary integrals,
transient analysis,
linear systems,
boundary conditions
Error analysis of an unfitted HDG method for a class of non-linear elliptic problems
2021
numerical methods,
error analysis,
non-linear problems,
elliptic equations,
finite element method
Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids
2021
surrogate approximation,
grad-shafranov,
stochastic collocation,
free boundary problem,
sparse grids
A priori and a posteriori error analysis of an unfitted HDG method for semi-linear elliptic problems
2021
numerical methods,
error analysis,
elliptic problems,
high-order methods,
finite element method
